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First Day Hebrew-Gregorian Coincidences
First Day Hebrew-Gregorian Coincidences

by Remy Landau
=================================

Introduction
First Day Hebrew-Gregorian Coincidences
October 1 Rosh Hashannot
Single First Day Hebrew-Gregorian Coincidences
Double First Day Hebrew-Gregorian Coincidences
Triple First Day Hebrew-Gregorian Coincidences

INTRODUCTION

The first day of a Hebrew month can coincide with the first day of a Gregorian month. Depending on the time span chosen, the level of coincidences can reach approximately 40%.

Three is the largest number of Hebrew months in any year whose first days can coincide with the first days of their corresponding Gregorian months.

The following shows all of the years between 5755H (1995g) and 5779H (2019g) in which at least one Hebrew month will have its first day coincide with the first day of its corresponding Gregorian month.

           5755H (1995g)    Adar-Feb    Nisan-Apr     Iyar-May 
           5758H (1997g) Heshvan-Nov
           5760H (2000g)    Elul-Sep 
           5763H (2003g)   Sivan-Jun   Tammuz-Jul 
           5766H (2006g)   Tevet-Jan     Adar-Mar 
           5768H (2008g)    Elul-Sep 
           5771H (2011g)      Av-Aug 
           5774H (2014g)    Adar-Feb    Nisan-Apr     Iyar-May 
           5777H (2016g)  Kislev-Dec 
           5779H (2019g)    Elul-Sep 

The last time that 3 Hebrew months in one year had a first day match with their corresponding Gregorian months was in 5755H (1995g). The next time this will happen will be in 5774H (2014g).

A quick examination of the above table will show that these coincidences do not occur on a regular 19 year cycle basis. The Heshvan-Nov coincidence of 5758H (1997g) does not correspond to the Kislev-Dec match of 5777H (2016g), which is 19 years later.

The 1500 year span 5261H (1500g) to 6760H (2999g) has been selected to demonstrate these Hebrew-Gregorian coincidences for all of the following tables.

First Day Hebrew-Gregorian Coincidences 5261H (1500g) To 6760H (2999g)

Over the 1500 year period beginning with 5261H (1500g) and ending with 6760H (2999g), 429 Hebrew years will see at least one of their months share a first day with their Gregorian counterpart. The table below shows the actual years for these coincidences.

           5261H (1501g)  v'Adar-Mar
           5264H (1503g) Tishrei-Oct 
           5266H (1506g)      Av-Aug 
           5269H (1509g)    Adar-Feb    Nisan-Apr     Iyar-May 
           5272H (1511g)  Kislev-Dec 
           5275H (1514g) Tishrei-Oct 
           5277H (1517g)   Sivan-Jun   Tammuz-Jul 
           5280H (1520g)  Shevat-Jan   v'Adar-Mar 
           5283H (1522g) Heshvan-Nov 
           5288H (1528g)    Adar-Feb 
           5291H (1530g) Heshvan-Nov   Kislev-Dec 
           5293H (1533g)    Elul-Sep 
           5299H (1539g)  v'Adar-Mar 
           5302H (1541g) Heshvan-Nov 
           5307H (1547g)    Adar-Feb    Nisan-Apr     Iyar-May 
           5310H (1549g)  Kislev-Dec 
           5312H (1552g)      Av-Aug 
           5318H (1558g)  v'Adar-Mar 
           5321H (1560g) Tishrei-Oct 
           5326H (1566g)  Shevat-Jan 
           5329H (1568g)  Kislev-Dec 
           5331H (1571g)    Elul-Sep 
           5337H (1576g)   Tevet-Dec 
           5340H (1579g) Tishrei-Oct 
           5342H (1582g)   Sivan-Jun   Tammuz-Jul 
           5345H (1585g)  Shevat-Jan 
           5348H (1588g)   Tevet-Jan 
           5350H (1590g)      Av-Aug 
           5353H (1593g)   Sivan-Jun   Tammuz-Jul 
           5356H (1596g)  Shevat-Jan   v'Adar-Mar 
           5359H (1598g) Tishrei-Oct 
           5361H (1601g)   Sivan-Jun   Tammuz-Jul 
           5364H (1604g)   Nisan-Apr     Iyar-May 
           5367H (1606g) Heshvan-Nov   Kislev-Dec 
           5369H (1609g)      Av-Aug 
           5372H (1612g)   Sivan-Jun   Tammuz-Jul 
           5375H (1615g)  Shevat-Jan 
           5377H (1617g)    Elul-Sep 
           5383H (1623g)    Adar-Feb    Nisan-Apr     Iyar-May 
           5386H (1625g) Heshvan-Nov 
           5391H (1631g)   Sivan-Jun   Tammuz-Jul 
           5394H (1634g)  v'Adar-Mar 
           5396H (1636g)    Elul-Sep 
           5399H (1639g)      Av-Aug 
           5402H (1642g)    Adar-Feb    Nisan-Apr     Iyar-May 
           5405H (1644g) Tishrei-Oct 
           5407H (1647g)    Elul-Sep 
           5413H (1652g)  Kislev-Nov    Tevet-Dec 
           5416H (1655g) Heshvan-Nov 
           5421H (1661g)  Shevat-Jan 
           5424H (1663g) Heshvan-Nov 
           5426H (1666g)    Elul-Sep 
           5435H (1674g) Tishrei-Oct 
           5437H (1677g)   Sivan-Jun   Tammuz-Jul 
           5440H (1680g)    Adar-Feb 
           5443H (1682g)  Kislev-Dec 
           5445H (1685g)      Av-Aug 
           5448H (1688g)   Nisan-Apr     Iyar-May 
           5451H (1691g)  Shevat-Jan 
           5454H (1693g) Tishrei-Oct 
           5456H (1696g)   Sivan-Jun   Tammuz-Jul 
           5459H (1699g)  Shevat-Jan 
           5462H (1702g)   Tevet-Jan     Adar-Mar 
           5464H (1704g)      Av-Aug 
           5467H (1707g)   Sivan-Jun   Tammuz-Jul 
           5470H (1710g)    Adar-Feb    Nisan-Apr     Iyar-May 
           5473H (1712g) Tishrei-Oct 
           5481H (1720g)  Kislev-Dec 
           5483H (1723g)    Elul-Sep 
           5489H (1729g)  Shevat-Jan 
           5492H (1731g) Tishrei-Oct 
           5500H (1740g)   Tevet-Jan 
           5502H (1742g)      Av-Aug 
           5505H (1745g)   Sivan-Jun   Tammuz-Jul 
           5508H (1748g)  Shevat-Jan   v'Adar-Mar 
           5511H (1750g) Tishrei-Oct 
           5513H (1753g)      Av-Aug 
           5516H (1756g)   Nisan-Apr     Iyar-May 
           5519H (1758g)  Kislev-Dec 
           5521H (1761g)      Av-Aug 
           5524H (1764g)   Sivan-Jun   Tammuz-Jul 
           5527H (1767g)  Shevat-Jan 
           5530H (1769g) Heshvan-Nov 
           5535H (1775g)    Adar-Feb    Nisan-Apr     Iyar-May 
           5538H (1777g) Heshvan-Nov   Kislev-Dec 
           5540H (1780g)    Elul-Sep 
           5543H (1783g)   Sivan-Jun   Tammuz-Jul 
           5546H (1786g)  v'Adar-Mar 
           5549H (1788g) Heshvan-Nov 
           5551H (1791g)      Av-Aug 
           5554H (1794g)    Adar-Feb    Nisan-Apr     Iyar-May 
           5557H (1796g)  Kislev-Dec 
           5559H (1799g)    Elul-Sep 
           5562H (1802g)   Sivan-Jun   Tammuz-Jul 
           5565H (1805g)  Shevat-Jan 
           5568H (1808g)   Tevet-Jan 
           5570H (1810g)      Av-Aug 
           5573H (1813g)    Adar-Feb    Nisan-Apr     Iyar-May 
           5576H (1816g)    Adar-Mar 
           5579H (1818g) Tishrei-Oct 
           5581H (1821g)   Sivan-Jun   Tammuz-Jul 
           5584H (1824g)  Shevat-Jan   v'Adar-Mar 
           5587H (1826g) Heshvan-Nov   Kislev-Dec 
           5592H (1832g)   Nisan-Apr     Iyar-May 
           5597H (1837g)    Elul-Sep 
           5603H (1843g)    Adar-Feb    Nisan-Apr     Iyar-May 
           5606H (1845g) Heshvan-Nov 
           5611H (1851g)   Sivan-Jun   Tammuz-Jul 
           5614H (1854g)   Tevet-Jan     Adar-Mar 
           5616H (1856g)    Elul-Sep 
           5619H (1859g)      Av-Aug 
           5622H (1862g)    Adar-Feb    Nisan-Apr     Iyar-May 
           5625H (1864g) Tishrei-Oct 
           5627H (1867g)    Elul-Sep 
           5633H (1872g)  Kislev-Dec 
           5635H (1875g)    Elul-Sep 
           5641H (1881g)  Shevat-Jan 
           5644H (1883g) Heshvan-Nov 
           5646H (1886g)    Elul-Sep 
           5652H (1892g)   Tevet-Jan 
           5655H (1894g) Tishrei-Oct 
           5657H (1897g)   Sivan-Jun   Tammuz-Jul 
           5660H (1900g)  Shevat-Jan 
           5663H (1902g) Heshvan-Nov   Kislev-Dec 
           5665H (1905g)    Elul-Sep 
           5671H (1911g)   Tevet-Jan     Adar-Mar 
           5674H (1913g) Heshvan-Nov 
           5679H (1919g)    Adar-Feb    Nisan-Apr     Iyar-May 
           5682H (1922g)   Tevet-Jan     Adar-Mar 
           5684H (1924g)      Av-Aug 
           5687H (1927g)   Sivan-Jun   Tammuz-Jul 
           5690H (1930g)   Tevet-Jan     Adar-Mar 
           5693H (1932g) Tishrei-Oct 
           5701H (1940g)  Kislev-Dec 
           5703H (1943g)    Elul-Sep 
           5712H (1951g) Tishrei-Oct 
           5720H (1960g)   Tevet-Jan 
           5722H (1962g)      Av-Aug 
           5725H (1965g)   Sivan-Jun   Tammuz-Jul 
           5728H (1968g)    Adar-Mar 
           5731H (1970g) Tishrei-Oct 
           5733H (1973g)   Sivan-Jun   Tammuz-Jul 
           5736H (1976g)   Nisan-Apr     Iyar-May 
           5739H (1978g) Heshvan-Nov   Kislev-Dec 
           5741H (1981g)      Av-Aug 
           5744H (1984g)   Sivan-Jun   Tammuz-Jul 
           5749H (1989g)    Elul-Sep 
           5755H (1995g)    Adar-Feb    Nisan-Apr     Iyar-May 
           5758H (1997g) Heshvan-Nov 
           5760H (2000g)    Elul-Sep 
           5763H (2003g)   Sivan-Jun   Tammuz-Jul 
           5766H (2006g)   Tevet-Jan     Adar-Mar 
           5768H (2008g)    Elul-Sep 
           5771H (2011g)      Av-Aug 
           5774H (2014g)    Adar-Feb    Nisan-Apr     Iyar-May 
           5777H (2016g)  Kislev-Dec 
           5779H (2019g)    Elul-Sep 
           5785H (2025g)   Tevet-Jan     Adar-Mar 
           5788H (2027g) Heshvan-Nov   Kislev-Dec 
           5793H (2033g)  Shevat-Jan 
           5796H (2036g)   Tevet-Jan 
           5798H (2038g)    Elul-Sep 
           5804H (2044g)   Tevet-Jan 
           5807H (2046g) Tishrei-Oct 
           5809H (2049g)   Sivan-Jun   Tammuz-Jul 
           5812H (2052g)    Adar-Feb 
           5815H (2055g)   Tevet-Jan     Adar-Mar 
           5817H (2057g)      Av-Aug 
           5820H (2060g)   Nisan-Apr     Iyar-May 
           5826H (2065g) Tishrei-Oct 
           5828H (2068g)   Sivan-Jun   Tammuz-Jul 
           5831H (2071g)  Shevat-Jan 
           5834H (2073g) Heshvan-Nov   Kislev-Dec 
           5844H (2084g)    Elul-Sep 
           5847H (2087g)   Sivan-Jun   Tammuz-Jul 
           5850H (2090g)    Adar-Feb    Nisan-Apr     Iyar-May 
           5853H (2092g) Heshvan-Nov 
           5855H (2095g)      Av-Aug 
           5858H (2098g)   Sivan-Jun   Tammuz-Jul 
           5864H (2103g) Heshvan-Nov 
           5866H (2106g)    Elul-Sep 
           5872H (2112g)   Tevet-Jan 
           5875H (2114g) Tishrei-Oct 
           5877H (2117g)   Sivan-Jun   Tammuz-Jul 
           5880H (2120g)    Adar-Mar 
           5883H (2122g) Tishrei-Oct 
           5885H (2125g)      Av-Aug 
           5888H (2128g)   Nisan-Apr     Iyar-May 
           5891H (2130g)  Kislev-Dec 
           5894H (2133g) Tishrei-Oct 
           5896H (2136g)   Sivan-Jun   Tammuz-Jul 
           5902H (2141g) Heshvan-Nov 
           5907H (2147g)    Adar-Feb    Nisan-Apr     Iyar-May 
           5910H (2149g) Heshvan-Nov   Kislev-Dec 
           5912H (2152g)    Elul-Sep 
           5915H (2155g)   Sivan-Jun   Tammuz-Jul 
           5918H (2158g)   Tevet-Jan     Adar-Mar 
           5921H (2160g) Heshvan-Nov 
           5923H (2163g)      Av-Aug 
           5926H (2166g)    Adar-Feb    Nisan-Apr     Iyar-May 
           5929H (2168g)  Kislev-Dec 
           5931H (2171g)    Elul-Sep 
           5937H (2177g)   Tevet-Jan     Adar-Mar 
           5940H (2179g) Heshvan-Nov   Kislev-Dec 
           5948H (2188g)   Tevet-Jan 
           5950H (2190g)    Elul-Sep 
           5956H (2196g)  Shevat-Feb 
           5959H (2198g) Tishrei-Oct 
           5961H (2201g)      Av-Aug 
           5964H (2204g)   Sivan-Jun   Tammuz-Jul 
           5969H (2209g)    Elul-Sep 
           5975H (2215g)  Shevat-Feb    Nisan-Apr     Iyar-May 
           5978H (2217g) Heshvan-Nov 
           5983H (2223g)   Sivan-Jun   Tammuz-Jul 
           5986H (2226g)   Tevet-Jan     Adar-Mar 
           5988H (2228g)    Elul-Sep 
           5991H (2231g)      Av-Aug 
           5994H (2234g)  Shevat-Feb   v'Adar-Apr    Nisan-May 
           5997H (2236g) Tishrei-Oct 
           5999H (2239g)    Elul-Sep 
           6005H (2244g)  Kislev-Dec 
           6008H (2247g) Heshvan-Nov 
           6016H (2255g) Heshvan-Nov 
           6018H (2258g)    Elul-Sep 
           6024H (2264g)   Tevet-Jan 
           6027H (2266g) Tishrei-Oct 
           6029H (2269g)   Sivan-Jun   Tammuz-Jul 
           6032H (2272g)    Adar-Mar 
           6035H (2274g)  Kislev-Dec 
           6037H (2277g)      Av-Aug 
           6040H (2280g)   Nisan-Apr     Iyar-May 
           6046H (2285g) Tishrei-Oct 
           6048H (2288g)   Sivan-Jun   Tammuz-Jul 
           6054H (2293g) Heshvan-Nov   Kislev-Dec 
           6062H (2302g)  Shevat-Feb   v'Adar-Apr    Nisan-May 
           6065H (2304g) Tishrei-Oct 
           6073H (2312g)  Kislev-Dec 
           6075H (2315g)    Elul-Sep 
           6084H (2323g) Tishrei-Oct 
           6092H (2332g)   Tevet-Jan 
           6094H (2334g)      Av-Aug 
           6097H (2337g)   Sivan-Jun   Tammuz-Jul 
           6100H (2340g)    Adar-Mar 
           6103H (2342g) Tishrei-Oct 
           6105H (2345g)      Av-Aug 
           6108H (2348g)  v'Adar-Apr    Nisan-May 
           6111H (2350g)  Kislev-Dec 
           6113H (2353g)      Av-Aug 
           6116H (2356g)   Sivan-Jun   Tammuz-Jul 
           6122H (2361g) Heshvan-Nov 
           6127H (2367g)  Shevat-Feb   v'Adar-Apr    Nisan-May 
           6130H (2369g) Heshvan-Nov   Kislev-Dec 
           6132H (2372g)    Elul-Sep 
           6135H (2375g)   Sivan-Jun   Tammuz-Jul 
           6138H (2378g)   Tevet-Jan     Adar-Mar 
           6141H (2380g) Heshvan-Nov 
           6143H (2383g)      Av-Aug 
           6146H (2386g)  Shevat-Feb   v'Adar-Apr    Nisan-May 
           6149H (2388g)  Kislev-Dec 
           6151H (2391g)    Elul-Sep 
           6157H (2397g)   Tevet-Jan     Adar-Mar 
           6160H (2399g) Heshvan-Nov   Kislev-Dec 
           6168H (2408g)   Tevet-Jan 
           6170H (2410g)    Elul-Sep 
           6176H (2416g)   Tevet-Jan 
           6179H (2418g) Tishrei-Oct 
           6181H (2421g)   Sivan-Jun   Tammuz-Jul 
           6184H (2424g)  Shevat-Feb 
           6187H (2427g)   Tevet-Jan     Adar-Mar 
           6189H (2429g)      Av-Aug 
           6192H (2432g)   Sivan-Jun   Tammuz-Jul 
           6198H (2437g) Tishrei-Oct 
           6200H (2440g)   Sivan-Jun   Tammuz-Jul 
           6206H (2445g) Heshvan-Nov   Kislev-Dec 
           6208H (2448g)      Av-Aug 
           6216H (2456g)    Elul-Sep 
           6219H (2459g)      Av-Aug 
           6222H (2462g)  Shevat-Feb   v'Adar-Apr    Nisan-May 
           6225H (2464g) Heshvan-Nov 
           6227H (2467g)      Av-Aug 
           6230H (2470g)   Sivan-Jun   Tammuz-Jul 
           6233H (2473g)   Tevet-Jan     Adar-Mar 
           6236H (2475g) Tishrei-Oct 
           6238H (2478g)      Av-Aug 
           6241H (2481g)  Shevat-Feb   v'Adar-Apr    Nisan-May 
           6244H (2483g) Heshvan-Nov   Kislev-Dec 
           6246H (2486g)    Elul-Sep 
           6252H (2492g)   Tevet-Jan 
           6254H (2494g)    Elul-Sep 
           6260H (2500g)  Shevat-Feb   v'Adar-Apr    Nisan-May 
           6263H (2502g)  Kislev-Dec 
           6266H (2505g) Tishrei-Oct 
           6268H (2508g)   Sivan-Jun   Tammuz-Jul 
           6274H (2513g) Heshvan-Nov   Kislev-Dec 
           6279H (2519g)  Shevat-Feb   v'Adar-Apr    Nisan-May 
           6284H (2524g)    Elul-Sep 
           6287H (2527g)   Sivan-Jun   Tammuz-Jul 
           6290H (2530g)  Shevat-Feb   v'Adar-Apr    Nisan-May 
           6293H (2532g) Heshvan-Nov 
           6295H (2535g)      Av-Aug 
           6298H (2538g)  Shevat-Feb   v'Adar-Apr    Nisan-May 
           6301H (2541g)   Tevet-Jan     Adar-Mar 
           6303H (2543g)    Elul-Sep 
           6306H (2546g)   Sivan-Jun   Tammuz-Jul 
           6309H (2549g)  Shevat-Feb   v'Adar-Apr    Nisan-May 
           6312H (2551g) Heshvan-Nov   Kislev-Dec 
           6320H (2560g)   Tevet-Jan 
           6322H (2562g)    Elul-Sep 
           6328H (2568g)  Shevat-Feb 
           6331H (2570g) Tishrei-Oct 
           6339H (2579g)   Tevet-Jan     Adar-Mar 
           6341H (2581g)      Av-Aug 
           6344H (2584g)   Sivan-Jun   Tammuz-Jul 
           6350H (2589g) Tishrei-Oct 
           6352H (2592g)      Av-Aug 
           6358H (2597g)  Kislev-Dec 
           6360H (2600g)    Elul-Sep 
           6363H (2603g)      Av-Aug 
           6366H (2606g)  Shevat-Feb   v'Adar-Apr    Nisan-May 
           6369H (2608g)  Kislev-Dec 
           6371H (2611g)    Elul-Sep 
           6377H (2617g)   Tevet-Jan     Adar-Mar 
           6380H (2619g) Heshvan-Nov   Kislev-Dec 
           6388H (2628g)   Tevet-Jan 
           6390H (2630g)    Elul-Sep 
           6396H (2636g)   Tevet-Jan 
           6399H (2638g) Tishrei-Oct 
           6401H (2641g)   Sivan-Jun   Tammuz-Jul 
           6404H (2644g)  Shevat-Feb 
           6407H (2647g)   Tevet-Jan     Adar-Mar 
           6409H (2649g)      Av-Aug 
           6412H (2652g)  v'Adar-Apr    Nisan-May 
           6418H (2657g) Tishrei-Oct 
           6420H (2660g)   Sivan-Jun   Tammuz-Jul 
           6426H (2665g) Heshvan-Nov   Kislev-Dec 
           6436H (2676g)    Elul-Sep 
           6439H (2679g)   Sivan-Jun   Tammuz-Jul 
           6442H (2682g)  Shevat-Feb   v'Adar-Apr    Nisan-May 
           6445H (2684g) Heshvan-Nov 
           6447H (2687g)      Av-Aug 
           6450H (2690g)    Iyar-Jun    Sivan-Jul 
           6453H (2693g)   Tevet-Jan     Adar-Mar 
           6456H (2695g) Tishrei-Oct 
           6458H (2698g)      Av-Aug 
           6464H (2704g)   Tevet-Jan 
           6467H (2706g) Tishrei-Oct 
           6469H (2709g)    Iyar-Jun    Sivan-Jul 
           6472H (2712g)    Adar-Mar 
           6475H (2714g) Tishrei-Oct 
           6477H (2717g)      Av-Aug 
           6480H (2720g)  v'Adar-Apr    Nisan-May 
           6483H (2722g)  Kislev-Dec 
           6486H (2725g) Tishrei-Oct 
           6488H (2728g)    Iyar-Jun    Sivan-Jul 
           6494H (2733g) Heshvan-Nov 
           6499H (2739g)  Shevat-Feb   v'Adar-Apr    Nisan-May 
           6502H (2741g) Heshvan-Nov   Kislev-Dec 
           6504H (2744g)    Elul-Sep 
           6507H (2747g)    Iyar-Jun    Sivan-Jul 
           6510H (2750g)   Tevet-Jan     Adar-Mar 
           6513H (2752g) Heshvan-Nov 
           6515H (2755g)      Av-Aug 
           6518H (2758g)  Shevat-Feb   v'Adar-Apr    Nisan-May 
           6521H (2761g)   Tevet-Jan     Adar-Mar 
           6523H (2763g)    Elul-Sep 
           6529H (2769g)   Tevet-Jan     Adar-Mar 
           6532H (2771g) Heshvan-Nov   Kislev-Dec 
           6540H (2780g)   Tevet-Jan 
           6542H (2782g)    Elul-Sep 
           6548H (2788g)  Shevat-Feb 
           6551H (2790g) Tishrei-Oct 
           6559H (2799g)   Tevet-Jan     Adar-Mar 
           6561H (2801g)      Av-Aug 
           6564H (2804g)    Iyar-Jun    Sivan-Jul 
           6570H (2809g) Tishrei-Oct 
           6572H (2812g)   Sivan-Jun   Tammuz-Jul 
           6578H (2817g) Heshvan-Nov   Kislev-Dec 
           6580H (2820g)      Av-Aug 
           6588H (2828g)    Elul-Sep 
           6591H (2831g)      Av-Aug 
           6594H (2834g)  Shevat-Feb   v'Adar-Apr    Nisan-May 
           6597H (2836g) Heshvan-Nov 
           6600H (2839g) Tishrei-Oct 
           6602H (2842g)    Iyar-Jun    Sivan-Jul 
           6605H (2845g)   Tevet-Jan     Adar-Mar 
           6608H (2847g) Tishrei-Oct 
           6610H (2850g)      Av-Aug 
           6613H (2853g)  Shevat-Feb   v'Adar-Apr    Nisan-May 
           6618H (2858g)    Elul-Sep 
           6624H (2864g)   Tevet-Jan 
           6627H (2866g) Heshvan-Nov 
           6632H (2872g)  Shevat-Feb 
           6635H (2875g)   Tevet-Jan     Adar-Mar 
           6637H (2877g)    Elul-Sep 
           6643H (2883g)   Tevet-Jan     Adar-Mar 
           6646H (2885g) Tishrei-Oct 
           6648H (2888g)   Sivan-Jun   Tammuz-Jul 
           6651H (2891g)  Shevat-Feb   v'Adar-Apr    Nisan-May 
           6654H (2894g)   Tevet-Jan     Adar-Mar 
           6656H (2896g)      Av-Aug 
           6662H (2902g)  Shevat-Feb   v'Adar-Apr    Nisan-May 
           6665H (2904g) Heshvan-Nov 
           6667H (2907g)      Av-Aug 
           6670H (2910g)  Shevat-Feb   v'Adar-Apr    Nisan-May 
           6673H (2913g)   Tevet-Jan     Adar-Mar 
           6675H (2915g)    Elul-Sep 
           6678H (2918g)    Iyar-Jun    Sivan-Jul 
           6681H (2921g)  Shevat-Feb   v'Adar-Apr    Nisan-May 
           6684H (2923g) Heshvan-Nov   Kislev-Dec 
           6692H (2932g)   Tevet-Jan 
           6694H (2934g)    Elul-Sep 
           6700H (2940g)  Shevat-Feb 
           6703H (2942g) Heshvan-Nov 
           6705H (2945g)    Elul-Sep 
           6711H (2951g)   Tevet-Jan     Adar-Mar 
           6714H (2953g) Tishrei-Oct 
           6716H (2956g)    Iyar-Jun    Sivan-Jul 
           6722H (2961g) Tishrei-Oct 
           6724H (2964g)      Av-Aug 
           6730H (2969g)  Kislev-Dec 
           6733H (2972g) Tishrei-Oct 
           6741H (2980g) Heshvan-Nov 
           6743H (2983g)      Av-Aug 
           6746H (2986g)  Shevat-Feb   v'Adar-Apr    Nisan-May 
           6749H (2988g) Heshvan-Nov   Kislev-Dec 
           6752H (2991g) Tishrei-Oct 
           6754H (2994g)    Iyar-Jun    Sivan-Jul 
           6757H (2997g)   Tevet-Jan     Adar-Mar 
           6760H (2999g)  Kislev-Dec 
October 1 Rosh Hashannot 5261H (1500g) To 5760H (2999g)

Rosh Hashannah last coincided with the first day of September on Saturday 1 Sep 987g (4748H). The event will next reoccur on Thursday 1 Sep 78,614g (82,374H).

Rosh Hashannah first coincided with the first day of October on Thursday 1 Oct 922g (4683H). This happened in the middle of the very heated calendar controversy between Aaron ben Meir of Palestine and Saadia ben Yosef of Babylon. For more details on the controversy please refer to

The Meir-Saadia Calendar Controversy
The Ben Meir Years

Rosh Hashannah last coincided with the first day of October on Thursday 1 Oct 1970g (5731H). Its next occurrence will be on Monday 1 Oct 2046g (5807H).

The following table shows all of the Rosh Hashannot which coincide with the first day of October for the 1500 Hebrew year period 5261H (1500/1g) up to 6760H (2999/3000g).

The frequency of the coincidence for this sampling period is about once in every 30 years. The actual frequency of such coincidence will vary depending on the sampling period selected.

           5264H (1503g) Tishrei-Oct 
           5275H (1514g) Tishrei-Oct 
           5321H (1560g) Tishrei-Oct 
           5340H (1579g) Tishrei-Oct 
           5359H (1598g) Tishrei-Oct 
           5405H (1644g) Tishrei-Oct 
           5435H (1674g) Tishrei-Oct 
           5454H (1693g) Tishrei-Oct 
           5473H (1712g) Tishrei-Oct 
           5492H (1731g) Tishrei-Oct 
           5511H (1750g) Tishrei-Oct 
           5579H (1818g) Tishrei-Oct 
           5625H (1864g) Tishrei-Oct 
           5655H (1894g) Tishrei-Oct 
           5693H (1932g) Tishrei-Oct 
           5712H (1951g) Tishrei-Oct 
           5731H (1970g) Tishrei-Oct 
           5807H (2046g) Tishrei-Oct 
           5826H (2065g) Tishrei-Oct 
           5875H (2114g) Tishrei-Oct 
           5883H (2122g) Tishrei-Oct 
           5894H (2133g) Tishrei-Oct 
           5959H (2198g) Tishrei-Oct 
           5997H (2236g) Tishrei-Oct 
           6027H (2266g) Tishrei-Oct 
           6046H (2285g) Tishrei-Oct 
           6065H (2304g) Tishrei-Oct 
           6084H (2323g) Tishrei-Oct 
           6103H (2342g) Tishrei-Oct 
           6179H (2418g) Tishrei-Oct 
           6198H (2437g) Tishrei-Oct 
           6236H (2475g) Tishrei-Oct 
           6266H (2505g) Tishrei-Oct 
           6331H (2570g) Tishrei-Oct 
           6350H (2589g) Tishrei-Oct 
           6399H (2638g) Tishrei-Oct 
           6418H (2657g) Tishrei-Oct 
           6456H (2695g) Tishrei-Oct 
           6467H (2706g) Tishrei-Oct 
           6475H (2714g) Tishrei-Oct 
           6486H (2725g) Tishrei-Oct 
           6551H (2790g) Tishrei-Oct 
           6570H (2809g) Tishrei-Oct 
           6600H (2839g) Tishrei-Oct 
           6608H (2847g) Tishrei-Oct 
           6646H (2885g) Tishrei-Oct 
           6714H (2953g) Tishrei-Oct 
           6722H (2961g) Tishrei-Oct 
           6733H (2972g) Tishrei-Oct 
           6752H (2991g) Tishrei-Oct 

Single First Day Hebrew-Gregorian Coincidences 5261H (1500g) To 5760H (2999g)

Over the 1500 year sampling period, 262 Hebrew years have only one month whose first days coincide with the first day of their corresponding Gregorian month.

           5261H (1501g)  v'Adar-Mar 
           5264H (1503g) Tishrei-Oct 
           5266H (1506g)      Av-Aug 
           5272H (1511g)  Kislev-Dec 
           5275H (1514g) Tishrei-Oct 
           5283H (1522g) Heshvan-Nov 
           5288H (1528g)    Adar-Feb 
           5293H (1533g)    Elul-Sep 
           5299H (1539g)  v'Adar-Mar 
           5302H (1541g) Heshvan-Nov 
           5310H (1549g)  Kislev-Dec 
           5312H (1552g)      Av-Aug 
           5318H (1558g)  v'Adar-Mar 
           5321H (1560g) Tishrei-Oct 
           5326H (1566g)  Shevat-Jan 
           5329H (1568g)  Kislev-Dec 
           5331H (1571g)    Elul-Sep 
           5337H (1576g)   Tevet-Dec 
           5340H (1579g) Tishrei-Oct 
           5345H (1585g)  Shevat-Jan 
           5348H (1588g)   Tevet-Jan 
           5350H (1590g)      Av-Aug 
           5359H (1598g) Tishrei-Oct 
           5369H (1609g)      Av-Aug 
           5375H (1615g)  Shevat-Jan 
           5377H (1617g)    Elul-Sep 
           5386H (1625g) Heshvan-Nov 
           5394H (1634g)  v'Adar-Mar 
           5396H (1636g)    Elul-Sep 
           5399H (1639g)      Av-Aug 
           5405H (1644g) Tishrei-Oct 
           5407H (1647g)    Elul-Sep 
           5416H (1655g) Heshvan-Nov 
           5421H (1661g)  Shevat-Jan 
           5424H (1663g) Heshvan-Nov 
           5426H (1666g)    Elul-Sep 
           5435H (1674g) Tishrei-Oct 
           5440H (1680g)    Adar-Feb 
           5443H (1682g)  Kislev-Dec 
           5445H (1685g)      Av-Aug 
           5451H (1691g)  Shevat-Jan 
           5454H (1693g) Tishrei-Oct 
           5459H (1699g)  Shevat-Jan 
           5464H (1704g)      Av-Aug 
           5473H (1712g) Tishrei-Oct 
           5481H (1720g)  Kislev-Dec 
           5483H (1723g)    Elul-Sep 
           5489H (1729g)  Shevat-Jan 
           5492H (1731g) Tishrei-Oct 
           5500H (1740g)   Tevet-Jan 
           5502H (1742g)      Av-Aug 
           5511H (1750g) Tishrei-Oct 
           5513H (1753g)      Av-Aug 
           5519H (1758g)  Kislev-Dec 
           5521H (1761g)      Av-Aug 
           5527H (1767g)  Shevat-Jan 
           5530H (1769g) Heshvan-Nov 
           5540H (1780g)    Elul-Sep 
           5546H (1786g)  v'Adar-Mar 
           5549H (1788g) Heshvan-Nov 
           5551H (1791g)      Av-Aug 
           5557H (1796g)  Kislev-Dec 
           5559H (1799g)    Elul-Sep 
           5565H (1805g)  Shevat-Jan 
           5568H (1808g)   Tevet-Jan 
           5570H (1810g)      Av-Aug 
           5576H (1816g)    Adar-Mar 
           5579H (1818g) Tishrei-Oct 
           5597H (1837g)    Elul-Sep 
           5606H (1845g) Heshvan-Nov 
           5616H (1856g)    Elul-Sep 
           5619H (1859g)      Av-Aug 
           5625H (1864g) Tishrei-Oct 
           5627H (1867g)    Elul-Sep 
           5633H (1872g)  Kislev-Dec 
           5635H (1875g)    Elul-Sep 
           5641H (1881g)  Shevat-Jan 
           5644H (1883g) Heshvan-Nov 
           5646H (1886g)    Elul-Sep 
           5652H (1892g)   Tevet-Jan 
           5655H (1894g) Tishrei-Oct 
           5660H (1900g)  Shevat-Jan 
           5665H (1905g)    Elul-Sep 
           5674H (1913g) Heshvan-Nov 
           5684H (1924g)      Av-Aug 
           5693H (1932g) Tishrei-Oct 
           5701H (1940g)  Kislev-Dec 
           5703H (1943g)    Elul-Sep 
           5712H (1951g) Tishrei-Oct 
           5720H (1960g)   Tevet-Jan 
           5722H (1962g)      Av-Aug 
           5728H (1968g)    Adar-Mar 
           5731H (1970g) Tishrei-Oct 
           5741H (1981g)      Av-Aug 
           5749H (1989g)    Elul-Sep 
           5758H (1997g) Heshvan-Nov 
           5760H (2000g)    Elul-Sep 
           5768H (2008g)    Elul-Sep 
           5771H (2011g)      Av-Aug 
           5777H (2016g)  Kislev-Dec 
           5779H (2019g)    Elul-Sep 
           5793H (2033g)  Shevat-Jan 
           5796H (2036g)   Tevet-Jan 
           5798H (2038g)    Elul-Sep 
           5804H (2044g)   Tevet-Jan 
           5807H (2046g) Tishrei-Oct 
           5812H (2052g)    Adar-Feb 
           5817H (2057g)      Av-Aug 
           5826H (2065g) Tishrei-Oct 
           5831H (2071g)  Shevat-Jan 
           5844H (2084g)    Elul-Sep 
           5853H (2092g) Heshvan-Nov 
           5855H (2095g)      Av-Aug 
           5864H (2103g) Heshvan-Nov 
           5866H (2106g)    Elul-Sep 
           5872H (2112g)   Tevet-Jan 
           5875H (2114g) Tishrei-Oct 
           5880H (2120g)    Adar-Mar 
           5883H (2122g) Tishrei-Oct 
           5885H (2125g)      Av-Aug 
           5891H (2130g)  Kislev-Dec 
           5894H (2133g) Tishrei-Oct 
           5902H (2141g) Heshvan-Nov 
           5912H (2152g)    Elul-Sep 
           5921H (2160g) Heshvan-Nov 
           5923H (2163g)      Av-Aug 
           5929H (2168g)  Kislev-Dec 
           5931H (2171g)    Elul-Sep 
           5948H (2188g)   Tevet-Jan 
           5950H (2190g)    Elul-Sep 
           5956H (2196g)  Shevat-Feb 
           5959H (2198g) Tishrei-Oct 
           5961H (2201g)      Av-Aug 
           5969H (2209g)    Elul-Sep 
           5978H (2217g) Heshvan-Nov 
           5988H (2228g)    Elul-Sep 
           5991H (2231g)      Av-Aug 
           5997H (2236g) Tishrei-Oct 
           5999H (2239g)    Elul-Sep 
           6005H (2244g)  Kislev-Dec 
           6008H (2247g) Heshvan-Nov 
           6016H (2255g) Heshvan-Nov 
           6018H (2258g)    Elul-Sep 
           6024H (2264g)   Tevet-Jan 
           6027H (2266g) Tishrei-Oct 
           6032H (2272g)    Adar-Mar 
           6035H (2274g)  Kislev-Dec 
           6037H (2277g)      Av-Aug 
           6046H (2285g) Tishrei-Oct 
           6065H (2304g) Tishrei-Oct 
           6073H (2312g)  Kislev-Dec 
           6075H (2315g)    Elul-Sep 
           6084H (2323g) Tishrei-Oct 
           6092H (2332g)   Tevet-Jan 
           6094H (2334g)      Av-Aug 
           6100H (2340g)    Adar-Mar 
           6103H (2342g) Tishrei-Oct 
           6105H (2345g)      Av-Aug 
           6111H (2350g)  Kislev-Dec 
           6113H (2353g)      Av-Aug 
           6122H (2361g) Heshvan-Nov 
           6132H (2372g)    Elul-Sep 
           6141H (2380g) Heshvan-Nov 
           6143H (2383g)      Av-Aug 
           6149H (2388g)  Kislev-Dec 
           6151H (2391g)    Elul-Sep 
           6168H (2408g)   Tevet-Jan 
           6170H (2410g)    Elul-Sep 
           6176H (2416g)   Tevet-Jan 
           6179H (2418g) Tishrei-Oct 
           6184H (2424g)  Shevat-Feb 
           6189H (2429g)      Av-Aug 
           6198H (2437g) Tishrei-Oct 
           6208H (2448g)      Av-Aug 
           6216H (2456g)    Elul-Sep 
           6219H (2459g)      Av-Aug 
           6225H (2464g) Heshvan-Nov 
           6227H (2467g)      Av-Aug 
           6236H (2475g) Tishrei-Oct 
           6238H (2478g)      Av-Aug 
           6246H (2486g)    Elul-Sep 
           6252H (2492g)   Tevet-Jan 
           6254H (2494g)    Elul-Sep 
           6263H (2502g)  Kislev-Dec 
           6266H (2505g) Tishrei-Oct 
           6284H (2524g)    Elul-Sep 
           6293H (2532g) Heshvan-Nov 
           6295H (2535g)      Av-Aug 
           6303H (2543g)    Elul-Sep 
           6320H (2560g)   Tevet-Jan 
           6322H (2562g)    Elul-Sep 
           6328H (2568g)  Shevat-Feb 
           6331H (2570g) Tishrei-Oct 
           6341H (2581g)      Av-Aug 
           6350H (2589g) Tishrei-Oct 
           6352H (2592g)      Av-Aug 
           6358H (2597g)  Kislev-Dec 
           6360H (2600g)    Elul-Sep 
           6363H (2603g)      Av-Aug 
           6369H (2608g)  Kislev-Dec 
           6371H (2611g)    Elul-Sep 
           6388H (2628g)   Tevet-Jan 
           6390H (2630g)    Elul-Sep 
           6396H (2636g)   Tevet-Jan 
           6399H (2638g) Tishrei-Oct 
           6404H (2644g)  Shevat-Feb 
           6409H (2649g)      Av-Aug 
           6418H (2657g) Tishrei-Oct 
           6436H (2676g)    Elul-Sep 
           6445H (2684g) Heshvan-Nov 
           6447H (2687g)      Av-Aug 
           6456H (2695g) Tishrei-Oct 
           6458H (2698g)      Av-Aug 
           6464H (2704g)   Tevet-Jan 
           6467H (2706g) Tishrei-Oct 
           6472H (2712g)    Adar-Mar 
           6475H (2714g) Tishrei-Oct 
           6477H (2717g)      Av-Aug 
           6483H (2722g)  Kislev-Dec 
           6486H (2725g) Tishrei-Oct 
           6494H (2733g) Heshvan-Nov 
           6504H (2744g)    Elul-Sep 
           6513H (2752g) Heshvan-Nov 
           6515H (2755g)      Av-Aug 
           6523H (2763g)    Elul-Sep 
           6540H (2780g)   Tevet-Jan 
           6542H (2782g)    Elul-Sep 
           6548H (2788g)  Shevat-Feb 
           6551H (2790g) Tishrei-Oct 
           6561H (2801g)      Av-Aug 
           6570H (2809g) Tishrei-Oct 
           6580H (2820g)      Av-Aug 
           6588H (2828g)    Elul-Sep 
           6591H (2831g)      Av-Aug 
           6597H (2836g) Heshvan-Nov 
           6600H (2839g) Tishrei-Oct 
           6608H (2847g) Tishrei-Oct 
           6610H (2850g)      Av-Aug 
           6618H (2858g)    Elul-Sep 
           6624H (2864g)   Tevet-Jan 
           6627H (2866g) Heshvan-Nov 
           6632H (2872g)  Shevat-Feb 
           6637H (2877g)    Elul-Sep 
           6646H (2885g) Tishrei-Oct 
           6656H (2896g)      Av-Aug 
           6665H (2904g) Heshvan-Nov 
           6667H (2907g)      Av-Aug 
           6675H (2915g)    Elul-Sep 
           6692H (2932g)   Tevet-Jan 
           6694H (2934g)    Elul-Sep 
           6700H (2940g)  Shevat-Feb 
           6703H (2942g) Heshvan-Nov 
           6705H (2945g)    Elul-Sep 
           6714H (2953g) Tishrei-Oct 
           6722H (2961g) Tishrei-Oct 
           6724H (2964g)      Av-Aug 
           6730H (2969g)  Kislev-Dec 
           6733H (2972g) Tishrei-Oct 
           6741H (2980g) Heshvan-Nov 
           6743H (2983g)      Av-Aug 
           6752H (2991g) Tishrei-Oct 
           6760H (2999g)  Kislev-Dec 

Double First Day Hebrew-Gregorian Coincidences 5261H (1500g) To 5760H (2999g)

Over the 1500 year sampling period, 128 Hebrew years have two months whose first days coincide with the first day of their corresponding Gregorian month. It should be obvious that there is no pattern of 19 year cycles in these coincidences.

           5277H (1517g)   Sivan-Jun   Tammuz-Jul 
           5280H (1520g)  Shevat-Jan   v'Adar-Mar 
           5291H (1530g) Heshvan-Nov   Kislev-Dec 
           5342H (1582g)   Sivan-Jun   Tammuz-Jul 
           5353H (1593g)   Sivan-Jun   Tammuz-Jul 
           5356H (1596g)  Shevat-Jan   v'Adar-Mar 
           5361H (1601g)   Sivan-Jun   Tammuz-Jul 
           5364H (1604g)   Nisan-Apr     Iyar-May 
           5367H (1606g) Heshvan-Nov   Kislev-Dec 
           5372H (1612g)   Sivan-Jun   Tammuz-Jul 
           5391H (1631g)   Sivan-Jun   Tammuz-Jul 
           5413H (1652g)  Kislev-Nov    Tevet-Dec 
           5437H (1677g)   Sivan-Jun   Tammuz-Jul 
           5448H (1688g)   Nisan-Apr     Iyar-May 
           5456H (1696g)   Sivan-Jun   Tammuz-Jul 
           5462H (1702g)   Tevet-Jan     Adar-Mar 
           5467H (1707g)   Sivan-Jun   Tammuz-Jul 
           5505H (1745g)   Sivan-Jun   Tammuz-Jul 
           5508H (1748g)  Shevat-Jan   v'Adar-Mar 
           5516H (1756g)   Nisan-Apr     Iyar-May 
           5524H (1764g)   Sivan-Jun   Tammuz-Jul 
           5538H (1777g) Heshvan-Nov   Kislev-Dec 
           5543H (1783g)   Sivan-Jun   Tammuz-Jul 
           5562H (1802g)   Sivan-Jun   Tammuz-Jul 
           5581H (1821g)   Sivan-Jun   Tammuz-Jul 
           5584H (1824g)  Shevat-Jan   v'Adar-Mar 
           5587H (1826g) Heshvan-Nov   Kislev-Dec 
           5592H (1832g)   Nisan-Apr     Iyar-May 
           5611H (1851g)   Sivan-Jun   Tammuz-Jul 
           5614H (1854g)   Tevet-Jan     Adar-Mar 
           5657H (1897g)   Sivan-Jun   Tammuz-Jul 
           5663H (1902g) Heshvan-Nov   Kislev-Dec 
           5671H (1911g)   Tevet-Jan     Adar-Mar 
           5682H (1922g)   Tevet-Jan     Adar-Mar 
           5687H (1927g)   Sivan-Jun   Tammuz-Jul 
           5690H (1930g)   Tevet-Jan     Adar-Mar 
           5725H (1965g)   Sivan-Jun   Tammuz-Jul 
           5733H (1973g)   Sivan-Jun   Tammuz-Jul 
           5736H (1976g)   Nisan-Apr     Iyar-May 
           5739H (1978g) Heshvan-Nov   Kislev-Dec 
           5744H (1984g)   Sivan-Jun   Tammuz-Jul 
           5763H (2003g)   Sivan-Jun   Tammuz-Jul 
           5766H (2006g)   Tevet-Jan     Adar-Mar 
           5785H (2025g)   Tevet-Jan     Adar-Mar 
           5788H (2027g) Heshvan-Nov   Kislev-Dec 
           5809H (2049g)   Sivan-Jun   Tammuz-Jul 
           5815H (2055g)   Tevet-Jan     Adar-Mar 
           5820H (2060g)   Nisan-Apr     Iyar-May 
           5828H (2068g)   Sivan-Jun   Tammuz-Jul 
           5834H (2073g) Heshvan-Nov   Kislev-Dec 
           5847H (2087g)   Sivan-Jun   Tammuz-Jul 
           5858H (2098g)   Sivan-Jun   Tammuz-Jul 
           5877H (2117g)   Sivan-Jun   Tammuz-Jul 
           5888H (2128g)   Nisan-Apr     Iyar-May 
           5896H (2136g)   Sivan-Jun   Tammuz-Jul 
           5910H (2149g) Heshvan-Nov   Kislev-Dec 
           5915H (2155g)   Sivan-Jun   Tammuz-Jul 
           5918H (2158g)   Tevet-Jan     Adar-Mar 
           5937H (2177g)   Tevet-Jan     Adar-Mar 
           5940H (2179g) Heshvan-Nov   Kislev-Dec 
           5964H (2204g)   Sivan-Jun   Tammuz-Jul 
           5983H (2223g)   Sivan-Jun   Tammuz-Jul 
           5986H (2226g)   Tevet-Jan     Adar-Mar 
           6029H (2269g)   Sivan-Jun   Tammuz-Jul 
           6040H (2280g)   Nisan-Apr     Iyar-May 
           6048H (2288g)   Sivan-Jun   Tammuz-Jul 
           6054H (2293g) Heshvan-Nov   Kislev-Dec 
           6097H (2337g)   Sivan-Jun   Tammuz-Jul 
           6108H (2348g)   Nisan-Apr     Iyar-May 
           6116H (2356g)   Sivan-Jun   Tammuz-Jul 
           6130H (2369g) Heshvan-Nov   Kislev-Dec 
           6135H (2375g)   Sivan-Jun   Tammuz-Jul 
           6138H (2378g)   Tevet-Jan     Adar-Mar 
           6157H (2397g)   Tevet-Jan     Adar-Mar 
           6160H (2399g) Heshvan-Nov   Kislev-Dec 
           6181H (2421g)   Sivan-Jun   Tammuz-Jul 
           6187H (2427g)   Tevet-Jan     Adar-Mar 
           6192H (2432g)   Sivan-Jun   Tammuz-Jul 
           6200H (2440g)   Sivan-Jun   Tammuz-Jul 
           6206H (2445g) Heshvan-Nov   Kislev-Dec 
           6230H (2470g)   Sivan-Jun   Tammuz-Jul 
           6233H (2473g)   Tevet-Jan     Adar-Mar 
           6244H (2483g) Heshvan-Nov   Kislev-Dec 
           6268H (2508g)   Sivan-Jun   Tammuz-Jul 
           6274H (2513g) Heshvan-Nov   Kislev-Dec 
           6287H (2527g)   Sivan-Jun   Tammuz-Jul 
           6301H (2541g)   Tevet-Jan     Adar-Mar 
           6306H (2546g)   Sivan-Jun   Tammuz-Jul 
           6312H (2551g) Heshvan-Nov   Kislev-Dec 
           6339H (2579g)   Tevet-Jan     Adar-Mar 
           6344H (2584g)   Sivan-Jun   Tammuz-Jul 
           6377H (2617g)   Tevet-Jan     Adar-Mar 
           6380H (2619g) Heshvan-Nov   Kislev-Dec 
           6401H (2641g)   Sivan-Jun   Tammuz-Jul 
           6407H (2647g)   Tevet-Jan     Adar-Mar 
           6412H (2652g)   Nisan-Apr     Iyar-May 
           6420H (2660g)   Sivan-Jun   Tammuz-Jul 
           6426H (2665g) Heshvan-Nov   Kislev-Dec 
           6439H (2679g)   Sivan-Jun   Tammuz-Jul 
           6450H (2690g)   Sivan-Jun   Tammuz-Jul 
           6453H (2693g)   Tevet-Jan     Adar-Mar 
           6469H (2709g)   Sivan-Jun   Tammuz-Jul 
           6480H (2720g)   Nisan-Apr     Iyar-May 
           6488H (2728g)   Sivan-Jun   Tammuz-Jul 
           6502H (2741g) Heshvan-Nov   Kislev-Dec 
           6507H (2747g)   Sivan-Jun   Tammuz-Jul 
           6510H (2750g)   Tevet-Jan     Adar-Mar 
           6521H (2761g)   Tevet-Jan     Adar-Mar 
           6529H (2769g)   Tevet-Jan     Adar-Mar 
           6532H (2771g) Heshvan-Nov   Kislev-Dec 
           6559H (2799g)   Tevet-Jan     Adar-Mar 
           6564H (2804g)   Sivan-Jun   Tammuz-Jul 
           6572H (2812g)   Sivan-Jun   Tammuz-Jul 
           6578H (2817g) Heshvan-Nov   Kislev-Dec 
           6602H (2842g)   Sivan-Jun   Tammuz-Jul 
           6605H (2845g)   Tevet-Jan     Adar-Mar 
           6635H (2875g)   Tevet-Jan     Adar-Mar 
           6643H (2883g)   Tevet-Jan     Adar-Mar 
           6648H (2888g)   Sivan-Jun   Tammuz-Jul 
           6654H (2894g)   Tevet-Jan     Adar-Mar 
           6673H (2913g)   Tevet-Jan     Adar-Mar 
           6678H (2918g)   Sivan-Jun   Tammuz-Jul 
           6684H (2923g) Heshvan-Nov   Kislev-Dec 
           6711H (2951g)   Tevet-Jan     Adar-Mar 
           6716H (2956g)   Sivan-Jun   Tammuz-Jul 
           6749H (2988g) Heshvan-Nov   Kislev-Dec 
           6754H (2994g)   Sivan-Jun   Tammuz-Jul 
           6757H (2997g)   Tevet-Jan     Adar-Mar 

Triple First Day Hebrew-Gregorian Coincidences 5261H (1500g) To 5760H (2999g)

Over the 1500 year sampling period, 39 Hebrew years have three months whose first days coincide with the first day of their corresponding Gregorian month. It should be obvious that there is no pattern of 19 year cycles in these coincidences, although most of the triple coincidence years are separated by exact multiples of 19 years.

Another observation which can be made is that all of the triple coincidences always occur with the Gregorian months February, April, and May. This is due entirely to February being 28 days long, and the first coinciding Hebrew month being 29 days long.

Although the sampling period shows the triple coincidences to occur about once in every 38.5 years, no such coincidences can be found for the 6,565 Hebrew year period beginning in
10,335H (6,574g) and ending in 16,899H (13,138g).

           5269H (1509g)    Adar-Feb    Nisan-Apr     Iyar-May 
           5307H (1547g)    Adar-Feb    Nisan-Apr     Iyar-May 
           5383H (1623g)    Adar-Feb    Nisan-Apr     Iyar-May 
           5402H (1642g)    Adar-Feb    Nisan-Apr     Iyar-May 
           5470H (1710g)    Adar-Feb    Nisan-Apr     Iyar-May 
           5535H (1775g)    Adar-Feb    Nisan-Apr     Iyar-May 
           5554H (1794g)    Adar-Feb    Nisan-Apr     Iyar-May 
           5573H (1813g)    Adar-Feb    Nisan-Apr     Iyar-May 
           5603H (1843g)    Adar-Feb    Nisan-Apr     Iyar-May 
           5622H (1862g)    Adar-Feb    Nisan-Apr     Iyar-May 
           5679H (1919g)    Adar-Feb    Nisan-Apr     Iyar-May 
           5755H (1995g)    Adar-Feb    Nisan-Apr     Iyar-May 
           5774H (2014g)    Adar-Feb    Nisan-Apr     Iyar-May 
           5850H (2090g)    Adar-Feb    Nisan-Apr     Iyar-May 
           5907H (2147g)    Adar-Feb    Nisan-Apr     Iyar-May 
           5926H (2166g)    Adar-Feb    Nisan-Apr     Iyar-May 
           5975H (2215g)  Shevat-Feb    Nisan-Apr     Iyar-May 
           5994H (2234g)  Shevat-Feb    Nisan-Apr     Iyar-May 
           6062H (2302g)  Shevat-Feb    Nisan-Apr     Iyar-May 
           6127H (2367g)  Shevat-Feb    Nisan-Apr     Iyar-May 
           6146H (2386g)  Shevat-Feb    Nisan-Apr     Iyar-May 
           6222H (2462g)  Shevat-Feb    Nisan-Apr     Iyar-May 
           6241H (2481g)  Shevat-Feb    Nisan-Apr     Iyar-May 
           6260H (2500g)  Shevat-Feb    Nisan-Apr     Iyar-May 
           6279H (2519g)  Shevat-Feb    Nisan-Apr     Iyar-May 
           6290H (2530g)  Shevat-Feb    Nisan-Apr     Iyar-May 
           6298H (2538g)  Shevat-Feb    Nisan-Apr     Iyar-May 
           6309H (2549g)  Shevat-Feb    Nisan-Apr     Iyar-May 
           6366H (2606g)  Shevat-Feb    Nisan-Apr     Iyar-May 
           6442H (2682g)  Shevat-Feb    Nisan-Apr     Iyar-May 
           6499H (2739g)  Shevat-Feb    Nisan-Apr     Iyar-May 
           6518H (2758g)  Shevat-Feb    Nisan-Apr     Iyar-May 
           6594H (2834g)  Shevat-Feb    Nisan-Apr     Iyar-May 
           6613H (2853g)  Shevat-Feb    Nisan-Apr     Iyar-May 
           6651H (2891g)  Shevat-Feb    Nisan-Apr     Iyar-May 
           6662H (2902g)  Shevat-Feb    Nisan-Apr     Iyar-May 
           6670H (2910g)  Shevat-Feb    Nisan-Apr     Iyar-May 
           6681H (2921g)  Shevat-Feb    Nisan-Apr     Iyar-May 
           6746H (2986g)  Shevat-Feb    Nisan-Apr     Iyar-May 


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For other Additional Notes click here.

I'd love to hear from you. Please send your thoughts to:

Remy Landau

First  Paged 15 Nov 1998
Next Revised 11 Oct 2000