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2019-04-30, 08:20
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#23 |
Jun 2003
Suva, Fiji
23×3×5×17 Posts |
Some more results:
First instance gaps in consecutive order - everything found up to and including 1878. Code:
1636 1035211477332 robert44444uk 1637 314387243880 Thomas11 1638 223187612730 Thomas11 1639 430370370398 Thomas11 1640 251399472527 Thomas11 1641 272511992827 Thomas11 1642 212024898078 Thomas11 1643 158850706422 ATH 1644 1201386008933 robert44444uk 1645 464373757405 Thomas11 1646 197557993677 ATH 1647 384183995148 Thomas11 1648 555439323975 Thomas11 1649 158176828393 ATH 1650 409316753062 Thomas11 1651 312158180092 Thomas11 1652 470531332488 Thomas11 1653 841664786197 Thomas11 1654 701771647838 Thomas11 1655 405384059735 Thomas11 1656 514927351307 Thomas11 1657 229220533173 Thomas11 1658 166226961612 ATH 1659 165136905488 ATH 1660 133864375453 ATH 1661 633288781027 Thomas11 1662 256117920503 Thomas11 1663 492030454557 Thomas11 1664 131415761768 ATH 1665 291876048707 Thomas11 1666 802227020182 Thomas11 1667 375860209433 Thomas11 1668 285028014162 Thomas11 1669 859713724753 Thomas11 1670 295839732305 Thomas11 1671 579035340417 Thomas11 1672 161263436148 ATH 1673 498618428432 Thomas11 1674 636283516158 Thomas11 1675 616638723823 Thomas11 1676 859939543782 Thomas11 1677 508171256813 Thomas11 1678 487863089385 Thomas11 1679 600200255728 Thomas11 1680 448760176352 Thomas11 1681 569028734977 Thomas11 1682 280877509220 Thomas11 1683 1019626449685 robert44444uk 1684 435854938013 Thomas11 1685 256321846760 Thomas11 1686 1025620695957 robert44444uk 1687 156290145345 ATH 1688 611197905670 Thomas11 1689 984424116398 Thomas11 1690 652938228583 Thomas11 1691 463542106657 Thomas11 1692 254281560703 Thomas11 1693 431955803822 Thomas11 1694 334135265893 Thomas11 1695 282763122140 Thomas11 1696 450016651352 Thomas11 1697 822643098295 Thomas11 1698 565141146050 Thomas11 1699 372837607753 Thomas11 1700 58917239540 ATH 1701 433407295157 Thomas11 1702 298348323303 Thomas11 1703 466812660410 Thomas11 1704 1045077852373 robert44444uk 1705 517453687215 Thomas11 1706 772867305887 Thomas11 1707 524920422073 Thomas11 1708 459952950865 Thomas11 1709 515336777288 Thomas11 1710 89470349442 ATH 1711 1437737041932 robert44444uk 1712 567801655963 Thomas11 1713 216733386980 Thomas11 1714 1039648289663 robert44444uk 1715 555007406300 Thomas11 1716 485816451332 Thomas11 1717 504463536573 Thomas11 1718 661561148110 Thomas11 1719 325264034063 Thomas11 1720 453489992522 Thomas11 1721 1253001163102 robert44444uk 1722 610655512490 Thomas11 1723 80799633875 ATH 1724 634233966553 Thomas11 1725 762318092370 Thomas11 1726 261705340277 Thomas11 1727 225881516975 Thomas11 1728 538335755667 Thomas11 1729 806506374413 Thomas11 1730 217895151387 Thomas11 1731 707703825092 Thomas11 1732 735596463515 Thomas11 1733 768450016780 Thomas11 1734 745631868578 Thomas11 1735 356177753412 Thomas11 1736 741222736422 Thomas11 1737 761250576468 Thomas11 1738 671721527412 Thomas11 1739 1214363016178 robert44444uk 1740 384364766532 Thomas11 1741 563317414062 Thomas11 1742 724809604908 Thomas11 1743 370979739580 Thomas11 1744 359521940948 Thomas11 1745 300186232845 Thomas11 1746 447197130142 Thomas11 1747 907203956603 Thomas11 1748 528077281142 Thomas11 1749 801659775458 Thomas11 1750 280488680647 Thomas11 1751 739849772267 Thomas11 1752 496386470473 Thomas11 1753 714960674750 Thomas11 1754 338841041033 Thomas11 1755 532001966893 Thomas11 1756 671605907382 Thomas11 1757 294509651840 Thomas11 1758 1278737589385 robert44444uk 1759 298338286438 Thomas11 1760 1175000358333 robert44444uk 1761 584390565997 Thomas11 1762 318182662973 Thomas11 1763 600635385640 Thomas11 1764 240121693893 Thomas11 1765 1204735995605 robert44444uk 1766 473256996777 Thomas11 1767 828485975438 Thomas11 1768 1176057612252 robert44444uk 1769 782711361523 Thomas11 1770 855953593323 Thomas11 1771 988638208437 Thomas11 1772 655550748640 Thomas11 1773 411932055292 Thomas11 1774 447362234533 Thomas11 1775 449770326922 Thomas11 1776 805225566947 Thomas11 1777 550358556340 Thomas11 1778 106405396032 ATH 1779 2129562021213 robert44444uk 1780 982232544190 Thomas11 1781 841171099652 Thomas11 1782 1224262909268 robert44444uk 1783 1422392477865 robert44444uk 1784 1195747448213 robert44444uk 1785 130744752537 ATH 1786 825384984377 Thomas11 1787 776268942683 Thomas11 1788 854615602792 Thomas11 1789 646099785688 Thomas11 1790 557950608758 Thomas11 1791 369489065347 Thomas11 1792 689680764418 Thomas11 1793 1037083894142 robert44444uk 1794 621462178578 Thomas11 1795 750466894258 Thomas11 1796 2175761168042 robert44444uk 1797 582262097498 Thomas11 1798 608219715197 Thomas11 1799 244370452833 Thomas11 1800 831467803302 Thomas11 1801 1052870164587 robert44444uk 1802 800163087448 Thomas11 1803 1306998722697 robert44444uk 1804 1382597845958 robert44444uk 1805 1166113583162 robert44444uk 1806 363596492507 Thomas11 1807 589681107438 Thomas11 1808 374311870175 Thomas11 1809 1519940585608 robert44444uk 1810 133135498198 ATH 1811 754512505717 Thomas11 1812 1225517231188 robert44444uk 1813 1177115829552 robert44444uk 1814 1622632461223 robert44444uk 1815 169866686215 ATH 1816 536707956407 Thomas11 1817 956610710023 Thomas11 1818 707849433580 Thomas11 1819 478026230448 Thomas11 1820 524708956392 Thomas11 1821 1545928373782 robert44444uk 1822 363792713305 Thomas11 1823 393901596172 Thomas11 1824 2530550769183 robert44444uk 1825 718703397508 Thomas11 1826 1197393987332 robert44444uk 1827 514690190788 Thomas11 1828 544205194130 Thomas11 1829 1682087625368 robert44444uk 1830 283716126022 Thomas11 1831 1024442893122 robert44444uk 1832 746075980130 Thomas11 1833 1171018474300 robert44444uk 1834 1461304039818 robert44444uk 1835 1236784093577 robert44444uk 1836 663607308612 Thomas11 1837 361289615670 Thomas11 1838 284106487357 Thomas11 1839 1320327308713 robert44444uk 1840 389453919375 Thomas11 1841 738549390442 Thomas11 1842 1084227409855 robert44444uk 1843 737313907580 Thomas11 1844 1889285158138 robert44444uk 1845 1537365969212 robert44444uk 1846 823245280032 Thomas11 1847 675857800098 Thomas11 1848 723741177537 Thomas11 1849 2371460651248 robert44444uk 1850 804839675663 Thomas11 1851 363074768532 Thomas11 1852 1829464862963 robert44444uk 1853 932204536545 Thomas11 1854 1189288485208 robert44444uk 1855 1174605355802 robert44444uk 1856 1297574083922 robert44444uk 1857 729575524785 Thomas11 1858 1123294853522 robert44444uk 1859 2212559422178 robert44444uk 1860 843314053692 Thomas11 1861 2317063539187 robert44444uk 1862 663487911713 Thomas11 1863 336185917595 Thomas11 1864 1417574651223 robert44444uk 1865 781793275960 Thomas11 1866 892852657037 Thomas11 1867 1444042188138 robert44444uk 1868 1989137103455 robert44444uk 1869 1940989213838 robert44444uk 1870 513194527407 Thomas11 1871 971781746092 Thomas11 1872 447811616018 Thomas11 1873 1348365096302 robert44444uk 1874 750393104603 Thomas11 1875 598433097470 Thomas11 1876 1064530504212 robert44444uk 1877 1040113573768 robert44444uk 1878 1694010994357 robert44444uk Code:
2406 2184023861542 2492 2406221256378 Last fiddled with by robert44444uk on 2019-04-30 at 08:23 |
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2019-05-01, 08:33
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#24 |
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Jun 2003
Suva, Fiji
111111110002 Posts |
More first instance gaps in consecutive order:
Code:
1878 1694010994357 robert44444uk 1879 2910891145493 robert44444uk 1880 904212211453 Thomas11 1881 781557375732 Thomas11 1882 1375789467133 robert44444uk 1883 1086233157432 robert44444uk 1884 2312441429433 robert44444uk 1885 676152407723 Thomas11 1886 1994026684367 robert44444uk 1887 426285083663 Thomas11 1888 1709285542095 robert44444uk 1889 1739008877393 robert44444uk 1890 151287342070 ATH 1891 1247181224132 robert44444uk 1892 201865544225 Thomas11 1893 290614184492 Thomas11 1894 1666811164798 robert44444uk 1895 854745621275 Thomas11 1896 1747405088257 robert44444uk 1897 359738661993 Thomas11 1898 132437316545 ATH 1899 2043213269438 robert44444uk 1900 619983477157 Thomas11 1901 635700745862 Thomas11 1902 1068189680728 robert44444uk 1903 675525244735 Thomas11 1904 1984692216588 robert44444uk 1905 932239203395 Thomas11 1906 1279486288362 robert44444uk 1907 1202177228578 robert44444uk 1908 1222826404275 robert44444uk 1909 2656430331093 robert44444uk 1910 1551507663815 robert44444uk 1911 1670504219247 robert44444uk 1912 804438922933 Thomas11 1913 2627897440455 robert44444uk 1914 1488017568723 robert44444uk 1915 470420475572 Thomas11 1916 3299752653517 robert44444uk 1917 1165423934903 robert44444uk 1918 804794472115 Thomas11 1919 1572478640448 robert44444uk 1920 2374547901280 robert44444uk 1921 3107951516387 robert44444uk 1922 2554599702130 robert44444uk 1923 1395252802692 robert44444uk 1924 1696444081623 robert44444uk 1925 523274691888 Thomas11 1926 696620005307 Thomas11 1927 2201959145610 robert44444uk 1928 1181669865490 robert44444uk 1929 2034243019588 robert44444uk 1930 1880103150370 robert44444uk Code:
2566 3051148531252 2620 3142272204202 |
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2019-05-01, 12:20
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#25 | |
Dec 2008
you know...around...
84810 Posts |
Quote:
Code:
n mod 5: possibilities/23# (in %) approx. actual 0 mod 5: 18772884/223092870 (32.2%) 8814853 8632028 1 mod 5: 6616194/223092870 (11.3%) 3106650 3221541 2 mod 5: 13092786/223092870 (22.4%) 6147750 6415438 3 mod 5: 13438254/223092870 (23.0%) 6309965 6086566 4 mod 5: 6460323/223092870 (11.1%) 3033460 3057104 Code:
n mod 7: possibilities/23# (in %) approx. actual 0 mod 7: 11405700/223092870 (19.5%) 5355574 4955717 1 mod 7: 7502625/223092870 (12.9%) 3522876 3481004 2 mod 7: 9173220/223092870 (15.7%) 4307308 4418659 3 mod 7: 6734070/223092870 (11.5%) 3161999 3464620 4 mod 7: 7193970/223092870 (12.3%) 3377946 3288570 5 mod 7: 9431448/223092870 (16.2%) 4428559 4510772 6 mod 7: 6939408/223092870 (11.9%) 3258416 3293335 I'd like to work a bit more on the theoretical side, but not today. |
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2019-05-02, 12:35
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#26 |
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Jun 2003
Suva, Fiji
23×3×5×17 Posts |
Not many results - had a power cut and lost 18 hours.
More first instance gaps in consecutive order: Code:
1931 4155631964692 robert44444uk 1932 960136903043 Thomas11 1933 1521234330052 robert44444uk 1934 1368396113168 robert44444uk 1935 664808242868 Thomas11 1936 279967183457 Thomas11 1937 642270715125 Thomas11 1938 1952055775092 robert44444uk 1939 2685610093078 robert44444uk 1940 1435690154763 robert44444uk 1941 1675555446682 robert44444uk 1942 1807383125718 robert44444uk 1943 1042310309512 robert44444uk 1944 1987277275398 robert44444uk 1945 1194795033583 robert44444uk 1946 1267188286017 robert44444uk 1947 1501956317263 robert44444uk 1948 1951682334595 robert44444uk 1949 2200992979138 robert44444uk 1950 982578277387 Thomas11 1951 2593578914117 robert44444uk 1952 3995636455535 robert44444uk 1953 954508482785 Thomas11 1954 2657480397133 robert44444uk 1955 511426336883 Thomas11 1956 1973565186282 robert44444uk 1957 2410733153433 robert44444uk 1958 757895739535 Thomas11 1959 2369918267188 robert44444uk 1960 1603135467927 robert44444uk 1961 2968060543052 robert44444uk 1962 1994746446703 robert44444uk 1963 2935129139030 robert44444uk 1964 1717072682918 robert44444uk 1965 2473396853452 robert44444uk 1966 2093345628637 robert44444uk 1967 2128700932355 robert44444uk 1968 652547157105 Thomas11 1969 1116171078598 robert44444uk 1970 2430451536737 robert44444uk 1971 824751367527 Thomas11 1972 1484101843865 robert44444uk 1973 2352937470705 robert44444uk 1974 3233083864468 robert44444uk 1975 2671923996808 robert44444uk 1976 1629196186112 robert44444uk 1977 1757002494653 robert44444uk 1978 1794428376172 robert44444uk 1979 614991456963 Thomas11 1980 2568440910493 robert44444uk 1981 2948381547562 robert44444uk 1982 1800405738840 robert44444uk 1983 2128859873052 robert44444uk 1984 564720846228 Thomas11 1985 1432632140313 robert44444uk 1986 944675774037 Thomas11 1987 645901356965 Thomas11 1988 1912867539580 robert44444uk 1989 2288073926553 robert44444uk 1990 1178585706107 robert44444uk 1991 1980589742282 robert44444uk 1992 3469535385503 robert44444uk 1993 1333290080990 robert44444uk 1994 721147884418 Thomas11 1995 1081507694722 robert44444uk 1996 3141922816902 robert44444uk 1997 207741061965 Thomas11 1998 2050666865585 robert44444uk 1999 3464628536498 robert44444uk 2000 2023303922073 robert44444uk 2001 4583730314427 robert44444uk 2002 1418099818398 robert44444uk 2003 2752341660315 robert44444uk 2004 3357194177253 robert44444uk 2005 1919394253212 robert44444uk 2006 541952390642 Thomas11 2007 1294793177503 robert44444uk 2008 2804001127870 robert44444uk 2009 3950601685453 robert44444uk 2010 2210130019925 robert44444uk 2011 2454054105092 robert44444uk 2012 1355880364715 robert44444uk 2013 1605983743805 robert44444uk 2014 2416115747078 robert44444uk 2015 1366762534618 robert44444uk 2016 389348710292 Thomas11 2017 2367795362585 robert44444uk 2018 1320531199235 robert44444uk And two new maximal gap champions Code:
2727 3879247944150 2737 3939046764478 |
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2019-05-03, 08:48
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#27 |
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Jun 2003
Suva, Fiji
23×3×5×17 Posts |
One day later, and I have still not found a 2019 first instance gap or a new champion. Once a 2019 is found, the next few gaps are 2026, 2056, 2076, 2094, 2104 and 2118.
Last fiddled with by robert44444uk on 2019-05-03 at 08:49 |
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2019-05-03, 15:39
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#28 | |
Jun 2015
Vallejo, CA/.
2×3×191 Posts |
Quote:
Isin't it interesting that it is simpler and easier to find a 2019 gap between TPs than a 1432 (in reality a 716) gap between primes? |
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2019-05-03, 16:56
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#29 | |
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Jun 2003
Suva, Fiji
204010 Posts |
Quote:
 2019 6221183861883 |
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2019-05-04, 12:57
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#30 |
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Jun 2003
Suva, Fiji
204010 Posts |
Here is a continuation of the consecutive first instance gaps table. The next holes to fill are 2076,2161,2166,2206,2213,2221
Code:
2019 6221183861883 robert44444uk 2020 1110837159180 robert44444uk 2021 3412298008772 robert44444uk 2022 1778401623575 robert44444uk 2023 224142765215 Thomas11 2024 3215430388433 robert44444uk 2025 2125059642060 robert44444uk 2026 7067370983472 robert44444uk 2027 1513315229030 robert44444uk 2028 1693568705267 robert44444uk 2029 548899132323 Thomas11 2030 1159591145647 robert44444uk 2031 1505148947332 robert44444uk 2032 801995327063 Thomas11 2033 2351288605232 robert44444uk 2034 4224109577518 robert44444uk 2035 4026757323885 robert44444uk 2036 3931186336557 robert44444uk 2037 2705967130983 robert44444uk 2038 3387561962360 robert44444uk 2039 1765539534353 robert44444uk 2040 1457630950535 robert44444uk 2041 1883891803437 robert44444uk 2042 1102539778813 robert44444uk 2043 2921284067565 robert44444uk 2044 4053631947823 robert44444uk 2045 1654904607582 robert44444uk 2046 1893143295297 robert44444uk 2047 2044240673680 robert44444uk 2048 249479281077 Thomas11 2049 1749338700963 robert44444uk 2050 2429765299182 robert44444uk 2051 2022886871932 robert44444uk 2052 2237662588513 robert44444uk 2053 1954343550155 robert44444uk 2054 4312142247483 robert44444uk 2055 1736484709050 robert44444uk 2056 6252056887127 robert44444uk 2057 1327506760473 robert44444uk 2058 3083403369492 robert44444uk 2059 2120344096833 robert44444uk 2060 1506078160848 robert44444uk 2061 3876812924082 robert44444uk 2062 2139376161545 robert44444uk 2063 1866827870457 robert44444uk 2064 4398616732228 robert44444uk 2065 2492202785263 robert44444uk 2066 1981415725767 robert44444uk 2067 2551619222068 robert44444uk 2068 1462559617500 robert44444uk 2069 1843167383188 robert44444uk 2070 1042838539733 robert44444uk 2071 5663032539447 robert44444uk 2072 461157712565 Thomas11 2073 902743525100 Thomas11 2074 646834943323 Thomas11 2075 1226421246838 robert44444uk And 2 new maximal gaps Code:
2765 6422266971838 2816 7282923065232 Last fiddled with by robert44444uk on 2019-05-04 at 12:58 |
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2019-05-04, 15:20
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#31 | |
May 2018
23×5×7 Posts |
Quote:
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2019-05-05, 06:35
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#32 | |
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Jun 2003
Suva, Fiji
37708 Posts |
Quote:
Muslims are no doubt already digesting that 34516209527 is the first instance gap of length 1440, and are seriously considering an award to ATH as its discoverer. In my previous domicile in Bangladesh, 1426 is the year, 114261540757 is the gap, and ATH is again the hero. I will no doubt get plaudits in Ethiopia for my discovery of a size 2011 gap 2454054105092 We may even in time get to 5779, where it is in the Hebrew calendar, although by the time we get there it might be 5880. So to answer your question, no, its not terribly interesting 
Last fiddled with by robert44444uk on 2019-05-05 at 06:35 |
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2019-05-05, 15:57
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#33 | |
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Jun 2015
Vallejo, CA/.
2×3×191 Posts |
Quote:
Well said! But you did forget the Mayans Ohh this occidentalists! When will we get a gap of 5133? Perhaps it will be on the year 5134? |
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