Weeks Between Easters:
This began with Eric Weisstein's statement that "consecutive Easters are always separated by 350, 357, 378, or 385 days." I thought these numbers worthy of recognition in Neil Sloane's On-Line Encyclopedia of Integer Sequences and so, by way of extending the concept to non-consecutive Easters (and dividing by seven), I begat A134691: Possible number of weeks between two (Gregorian calendar) Easters.
After some initial experimentation, it became obvious to me that in order to not exclude some rare occurrences, I would need to search all 5700000 possibilities (5700000 years is the length of the Gregorian Easter cycle) for each year-separation calculation. That is to say, only after checking the number of weeks separating two Easters one year apart for all 5700000 years beginning with 1583 (the first possible Easter year of the Gregorian calendar) could I be certain that the only possible weeks-apart were 50, 51, 54, 55. At least by using this method, I could simultaneously extract the frequency of occurrence of each weeks-apart out of the total 5700000 and grab an explicit example for each:
YEARS WEEKS FREQUENCY EARLIEST EXAMPLE
0 0 5700000 1583 - 1583
1 50 1403218 1585 - 1586
1 51 2197599 1583 - 1584
1 54 281764 1608 - 1609
1 55 1817419 1584 - 1585
2 101 1162499 1585 - 1587
2 102 339135 1609 - 1611
2 105 2207465 1584 - 1586
2 106 1990901 1583 - 1585
3 155 26760 2316 - 2319
3 156 4582081 1583 - 1586
3 157 493610 1602 - 1605
3 160 419345 1587 - 1590
3 161 178204 1598 - 1601
4 206 910534 1585 - 1589
4 207 2092734 1583 - 1587
4 210 129394 1605 - 1609
4 211 2567338 1584 - 1588
5 257 605600 1590 - 1595
5 258 298485 1609 - 1614
5 261 2119310 1584 - 1589
5 262 2676605 1583 - 1588
6 311 1152 7996 - 8002
6 312 3708061 1583 - 1589
6 313 795689 1599 - 1605
6 316 699527 1584 - 1590
6 317 495571 1595 - 1601
7 362 518740 1585 - 1592
7 363 1886979 1590 - 1597
7 366 67902 1744 - 1751
7 367 3034611 1583 - 1590
7 368 191768 1598 - 1605
8 413 160247 1590 - 1598
8 414 146289 1609 - 1617
8 417 1919609 1584 - 1592
8 418 3473855 1583 - 1591
9 468 2886241 1583 - 1592
9 469 1021112 1596 - 1605
9 472 878597 1584 - 1593
9 473 914050 1592 - 1601
10 518 233955 1585 - 1595
10 519 1567978 1590 - 1600
10 520 6237 5739 - 5749
10 522 11762 2096 - 2106
10 523 3390408 1583 - 1593
10 524 489660 1595 - 1605
11 573 1406643 1584 - 1595
11 574 4002344 1583 - 1594
11 577 28159 1970 - 1981
11 578 262854 1598 - 1609
12 624 2162815 1583 - 1595
12 625 1146989 1593 - 1605
12 628 956969 1584 - 1596
12 629 1433227 1589 - 1601
13 674 67487 1585 - 1598
13 675 1113020 1590 - 1603
13 676 30114 1981 - 1994
13 678 688 6098 - 6111
13 679 3555396 1583 - 1596
13 680 933295 1592 - 1605
14 729 840077 1584 - 1598
14 730 3967936 1583 - 1597
14 731 3425 5739 - 5753
14 733 15162 2092 - 2106
14 734 811334 1587 - 1601
14 735 62066 1598 - 1612
15 780 1540270 1583 - 1598
15 781 1171985 1590 - 1605
15 784 934460 1584 - 1599
15 785 2053285 1586 - 1601
16 830 1536 4292 - 4308
16 831 557985 1590 - 1606
16 832 53551 1609 - 1625
16 835 3598655 1583 - 1599
16 836 1488273 1589 - 1605
17 885 406058 1585 - 1602
17 886 3780871 1583 - 1600
17 887 26960 2299 - 2316
17 889 1376 2089 - 2106
17 890 1248955 1584 - 1601
17 891 235780 1595 - 1612
18 936 1018293 1585 - 1603
18 937 1096413 1590 - 1608
18 940 811383 1584 - 1602
18 941 2773911 1583 - 1601
19 987 13889 1685 - 1704
19 988 4522 2296 - 2315
19 991 3499097 1583 - 1602
19 992 2179604 1586 - 1605
19 995 1672 3583 - 3602
19 996 1216 2391 - 2410
20 1041 53244 1798 - 1818
20 1042 3529540 1583 - 1603
20 1043 33556 1609 - 1629
20 1045 96 31083 - 31103
20 1046 1563420 1584 - 1604
20 1047 520144 1592 - 1612
21 1092 591502 1585 - 1606
21 1093 925655 1590 - 1611
21 1096 593120 1588 - 1609
21 1097 3589723 1583 - 1604
22 1147 2682986 1584 - 1606
22 1148 2434988 1583 - 1605
22 1151 186618 1587 - 1609
22 1152 395408 1598 - 1620
23 1197 29404 2096 - 2119
23 1198 2715210 1583 - 1606
23 1199 274177 1602 - 1625
23 1201 128 17992 - 18015
23 1202 1780312 1584 - 1607
23 1203 900769 1589 - 1612
24 1248 262731 1612 - 1636
24 1249 656877 1590 - 1614
24 1252 276837 1585 - 1609
24 1253 4503555 1583 - 1607
25 1303 1986031 1585 - 1610
25 1304 2534394 1583 - 1608
25 1307 238519 1584 - 1609
25 1308 941056 1587 - 1612
26 1353 3752 4292 - 4318
26 1354 2005213 1585 - 1611
26 1355 412277 1599 - 1625
26 1358 1896815 1583 - 1609
26 1359 1381943 1586 - 1612
27 1404 44481 1666 - 1693
27 1405 277578 1590 - 1617
27 1408 130456 1724 - 1751
27 1409 4967062 1583 - 1610
27 1410 280423 1598 - 1625
28 1459 1390171 1585 - 1613
28 1460 2532705 1583 - 1611
28 1463 189325 1625 - 1653
28 1464 1587799 1584 - 1612
29 1510 1352376 1585 - 1614
29 1511 471317 1596 - 1625
29 1514 1912102 1584 - 1613
29 1515 1964205 1583 - 1612
30 1564 18320 2089 - 2119
30 1565 4714803 1583 - 1613
30 1566 691387 1595 - 1625
30 1569 198017 1617 - 1647
30 1570 77473 1598 - 1628
31 1615 894980 1585 - 1616
31 1616 2430347 1583 - 1614
31 1619 105675 1720 - 1751
31 1620 2202785 1584 - 1615
31 1621 66213 1598 - 1629
32 1666 792831 1585 - 1617
32 1667 433313 1593 - 1625
32 1670 1826593 1584 - 1616
32 1671 2647263 1583 - 1615
33 1721 3811173 1583 - 1616
33 1722 1015788 1592 - 1625
33 1725 493233 1587 - 1620
33 1726 379806 1595 - 1628
34 1771 503104 1585 - 1619
34 1772 2222126 1583 - 1617
34 1773 2548 5739 - 5773
34 1775 33651 2072 - 2106
34 1776 2693752 1584 - 1618
34 1777 244819 1595 - 1629
35 1822 334199 1601 - 1636
35 1823 294396 1590 - 1625
35 1826 1640171 1584 - 1619
35 1827 3431234 1583 - 1618
36 1877 2984555 1583 - 1619
36 1878 1244857 1589 - 1625
36 1881 674797 1584 - 1620
36 1882 795791 1592 - 1628
37 1927 220378 1585 - 1622
37 1928 1896258 1588 - 1625
37 1929 13593 2299 - 2336
37 1931 3088 2069 - 2106
37 1932 3001144 1583 - 1620
37 1933 565539 1592 - 1629
38 1978 12920 1666 - 1704
38 1979 23902 1685 - 1723
38 1982 1315180 1584 - 1622
38 1983 4342222 1583 - 1621
38 1986 1216 7971 - 8009
38 1987 4560 2372 - 2410
39 2033 2255869 1583 - 1622
39 2034 1375994 1586 - 1625
39 2037 758429 1584 - 1623
39 2038 1309708 1589 - 1628
40 2083 37184 1778 - 1818
40 2084 1466766 1585 - 1625
40 2085 28730 1609 - 1649
40 2087 368 12691 - 12731
40 2088 3157410 1583 - 1623
40 2089 1009542 1589 - 1629
41 2138 724968 1585 - 1626
41 2139 4401728 1583 - 1624
41 2140 6801 5367 - 5408
41 2142 8500 2065 - 2106
41 2143 515598 1587 - 1628
41 2144 42405 1598 - 1639
42 2189 1621859 1585 - 1627
42 2190 1412455 1583 - 1625
42 2193 747385 1584 - 1626
42 2194 1918301 1586 - 1628
43 2239 8514 4292 - 4335
43 2240 825975 1590 - 1633
43 2241 100642 1609 - 1652
43 2243 280 12688 - 12731
43 2244 3210663 1583 - 1626
43 2245 1553926 1586 - 1629
44 2294 268312 1629 - 1673
44 2295 4249074 1583 - 1627
44 2296 18562 1981 - 2025
44 2298 1248 2089 - 2133
44 2299 951014 1584 - 1628
44 2300 211790 1595 - 1639
45 2345 1088839 1585 - 1630
45 2346 1347926 1590 - 1635
45 2349 635351 1605 - 1650
45 2350 2627884 1583 - 1628
46 2396 254477 1590 - 1636
46 2397 83105 1609 - 1655
46 2400 3154695 1584 - 1630
46 2401 2207723 1583 - 1629
47 2450 104389 1724 - 1771
47 2451 3611564 1583 - 1630
47 2452 222446 1602 - 1649
47 2454 576 12684 - 12731
47 2455 1272660 1584 - 1631
47 2456 488365 1592 - 1639
48 2501 656796 1585 - 1633
48 2502 1182420 1590 - 1638
48 2505 422340 1605 - 1653
48 2506 3438444 1583 - 1631
49 2556 2675324 1584 - 1633
49 2557 2764709 1583 - 1632
49 2560 88794 1723 - 1772
49 2561 171173 1598 - 1647
50 2606 19904 2069 - 2119
50 2607 2915791 1583 - 1633
50 2608 405155 1599 - 1649
50 2611 1493501 1584 - 1634
50 2612 865649 1589 - 1639
51 2657 325461 1585 - 1636
51 2658 916206 1590 - 1641
51 2661 219525 1700 - 1751
51 2662 4127904 1583 - 1634
51 2663 110904 1598 - 1649
52 2712 1962392 1584 - 1636
52 2713 2880092 1583 - 1635
52 2716 156672 1625 - 1677
52 2717 700844 1587 - 1639
53 2763 2191856 1583 - 1636
53 2764 551445 1596 - 1649
53 2767 1612190 1584 - 1637
53 2768 1344509 1586 - 1639
54 2813 96707 1639 - 1693
54 2814 545620 1590 - 1644
54 2815 1791 5739 - 5793
54 2817 70324 2052 - 2106
54 2818 4609346 1583 - 1637
54 2819 376212 1595 - 1649
55 2868 1363884 1585 - 1640
55 2869 2881051 1583 - 1638
55 2872 118344 1720 - 1775
55 2873 1328503 1584 - 1639
55 2874 8218 3401 - 3456
56 2919 1529055 1585 - 1641
56 2920 616697 1593 - 1649
56 2923 1629937 1584 - 1640
56 2924 1924311 1583 - 1639
57 2970 52972 1647 - 1704
57 2971 2261 4995 - 5052
57 2974 4783858 1583 - 1640
57 2975 852245 1592 - 1649
57 2978 7144 2372 - 2429
57 2979 1520 2353 - 2410
58 3024 863191 1585 - 1643
58 3025 2784195 1583 - 1641
58 3028 61207 1744 - 1802
58 3029 1895965 1584 - 1642
58 3030 95442 1598 - 1656
59 3075 961389 1585 - 1644
59 3076 586814 1590 - 1649
59 3079 1552549 1584 - 1643
59 3080 2599248 1583 - 1642
60 3130 3890361 1583 - 1643
60 3131 1258659 1589 - 1649
60 3134 308559 1587 - 1647
60 3135 242421 1598 - 1658
61 3180 463325 1585 - 1646
61 3181 2580700 1583 - 1644
61 3182 5812 5367 - 5428
61 3184 21920 1744 - 1805
61 3185 2332712 1584 - 1645
61 3186 295531 1595 - 1656
62 3231 491300 1601 - 1663
62 3232 459354 1590 - 1652
62 3235 1377584 1584 - 1646
62 3236 3371762 1583 - 1645
63 3286 3052448 1583 - 1646
63 3287 1499023 1586 - 1649
63 3290 501418 1584 - 1647
63 3291 647111 1595 - 1658
64 3336 167904 1629 - 1693
64 3337 2269520 1585 - 1649
64 3338 14864 1981 - 2045
64 3340 2016 2069 - 2133
64 3341 2629488 1583 - 1647
64 3342 616208 1592 - 1656
65 3387 130295 1628 - 1693
65 3388 222810 1590 - 1655
65 3391 1093535 1585 - 1650
65 3392 4253360 1583 - 1648
66 3442 2315302 1585 - 1651
66 3443 1638620 1583 - 1649
66 3446 593510 1584 - 1650
66 3447 1152568 1592 - 1658
67 3492 55204 1778 - 1845
67 3493 1693347 1585 - 1652
67 3494 106188 1609 - 1676
67 3496 800 12664 - 12731
67 3497 2788439 1583 - 1650
67 3498 1056022 1589 - 1656
68 3547 587124 1585 - 1653
68 3548 4868432 1583 - 1651
68 3551 3432 2065 - 2133
68 3552 229232 1617 - 1685
68 3553 11780 1598 - 1666
69 3598 1678840 1585 - 1654
69 3599 1677533 1583 - 1652
69 3602 584918 1584 - 1653
69 3603 1758709 1587 - 1656
70 3648 8352 4292 - 4362
70 3649 1086155 1585 - 1655
70 3650 162683 1609 - 1679
70 3653 2845881 1583 - 1653
70 3654 1596929 1586 - 1656
71 3703 235514 1680 - 1751
71 3704 4488222 1583 - 1654
71 3705 134271 1609 - 1680
71 3707 1424 6040 - 6111
71 3708 671624 1587 - 1658
71 3709 168945 1595 - 1666
72 3754 1143565 1585 - 1657
72 3755 1615259 1583 - 1655
72 3758 475139 1605 - 1677
72 3759 2466037 1584 - 1656
73 3805 502995 1590 - 1663
73 3806 156646 1609 - 1682
73 3809 2800691 1584 - 1657
73 3810 2239668 1583 - 1656
74 3859 56792 1744 - 1818
74 3860 3877561 1583 - 1657
74 3861 326105 1602 - 1676
74 3864 997523 1584 - 1658
74 3865 442019 1592 - 1666
75 3910 708849 1585 - 1660
75 3911 1452426 1590 - 1665
75 3914 277367 1676 - 1751
75 3915 3248792 1583 - 1658
75 3916 12566 3401 - 3476
76 3961 42313 1628 - 1704
76 3962 31331 1647 - 1723
76 3965 2611455 1584 - 1660
76 3966 3003349 1583 - 1659
76 3969 4864 2372 - 2448
76 3970 6688 2334 - 2410
77 4015 4104 5452 - 5529
77 4016 3112976 1583 - 1660
77 4017 545829 1599 - 1676
77 4020 1222430 1584 - 1661
77 4021 814661 1589 - 1666
78 4066 369184 1585 - 1663
78 4067 1194542 1590 - 1668
78 4070 140091 1724 - 1802
78 4071 3815504 1583 - 1661
78 4072 180679 1598 - 1676
79 4121 1916776 1584 - 1663
79 4122 3247767 1583 - 1662
79 4125 96802 1723 - 1802
79 4126 438655 1587 - 1666
80 4172 2346495 1583 - 1663
80 4173 718865 1596 - 1676
80 4176 1352065 1584 - 1664
80 4177 1282575 1586 - 1666
81 4222 132370 1612 - 1693
81 4223 828864 1590 - 1671
81 4224 4943 5367 - 5448
81 4226 47964 1724 - 1805
81 4227 4194010 1583 - 1664
81 4228 491849 1595 - 1676
82 4277 1306974 1585 - 1667
82 4278 3260020 1583 - 1665
82 4281 87503 1720 - 1802
82 4282 1019550 1584 - 1666
82 4283 25953 1598 - 1680
83 4328 1672492 1585 - 1668
83 4329 795319 1593 - 1676
83 4332 1381014 1584 - 1667
83 4333 1851175 1583 - 1666
84 4378 5472 1734 - 1818
84 4379 351430 1590 - 1674
84 4380 11726 1981 - 2065
84 4383 4376114 1583 - 1667
84 4384 955258 1592 - 1676
85 4433 801120 1585 - 1670
85 4434 3165365 1583 - 1668
85 4435 2960 5367 - 5452
85 4437 42516 1720 - 1805
85 4438 1570833 1584 - 1669
85 4439 117206 1595 - 1680
86 4484 1099171 1585 - 1671
86 4485 771091 1590 - 1676
86 4488 1309281 1584 - 1670
86 4489 2520457 1583 - 1669
87 4539 3957163 1583 - 1670
87 4540 1513916 1589 - 1676
87 4543 136271 1723 - 1810
87 4544 92650 1598 - 1685
88 4589 397584 1585 - 1673
88 4590 2967018 1583 - 1671
88 4591 7294 1981 - 2069
88 4593 5200 2045 - 2133
88 4594 2005830 1584 - 1672
88 4595 317074 1592 - 1680
89 4640 626556 1585 - 1674
89 4641 646157 1590 - 1679
89 4644 1136842 1584 - 1673
89 4645 3290445 1583 - 1672
90 4695 3101329 1583 - 1673
90 4696 1772201 1586 - 1676
90 4699 347051 1587 - 1677
90 4700 479419 1595 - 1685
91 4745 153116 1680 - 1771
91 4746 2550979 1583 - 1674
91 4747 70252 1609 - 1700
91 4749 1944 6020 - 6111
91 4750 2272263 1584 - 1675
91 4751 651446 1589 - 1680
92 4796 255194 1601 - 1693
92 4797 419970 1590 - 1682
92 4800 863150 1585 - 1677
92 4801 4161686 1583 - 1675
93 4851 2361505 1585 - 1678
93 4852 1914476 1583 - 1676
93 4855 441821 1584 - 1677
93 4856 982198 1587 - 1680
94 4901 35200 1724 - 1818
94 4902 1982489 1585 - 1679
94 4903 159109 1609 - 1703
94 4906 2435419 1583 - 1677
94 4907 1087783 1586 - 1680
95 4952 16150 1666 - 1761
95 4953 75905 1609 - 1704
95 4956 456684 1656 - 1751
95 4957 5136821 1583 - 1678
95 4960 456 17920 - 18015
95 4961 13984 2315 - 2410
96 5007 1720123 1585 - 1681
96 5008 1958309 1583 - 1679
96 5011 438149 1625 - 1721
96 5012 1583419 1584 - 1680
97 5057 3136 4292 - 4389
97 5058 1337735 1585 - 1682
97 5059 238378 1609 - 1706
97 5062 2499247 1584 - 1681
97 5063 1621504 1583 - 1680
98 5112 174905 1707 - 1805
98 5113 4761022 1583 - 1681
98 5114 244139 1602 - 1700
98 5116 648 5793 - 5891
98 5117 416108 1587 - 1685
98 5118 103178 1598 - 1696
99 5163 1173349 1585 - 1684
99 5164 1907534 1583 - 1682
99 5167 339869 1649 - 1748
99 5168 2279248 1584 - 1683
100 5214 733197 1590 - 1690
100 5215 248503 1609 - 1709
100 5218 2465003 1584 - 1684
100 5219 2253297 1583 - 1683
101 5268 42720 1724 - 1825
101 5269 4046576 1583 - 1684
101 5270 493221 1599 - 1700
101 5273 751166 1584 - 1685
101 5274 366317 1595 - 1696
102 5319 727699 1585 - 1687
102 5320 1755635 1590 - 1692
102 5323 223829 1649 - 1751
102 5324 2909473 1583 - 1685
102 5325 83364 1598 - 1700
103 5370 229624 1590 - 1693
103 5371 154527 1609 - 1712
103 5374 2323522 1584 - 1687
103 5375 2992327 1583 - 1686
104 5425 3254365 1583 - 1687
104 5426 730603 1596 - 1700
104 5429 983763 1584 - 1688
104 5430 731269 1592 - 1696
105 5475 385494 1585 - 1690
105 5476 1497987 1590 - 1695
105 5477 2304 5891 - 5996
105 5479 93704 1700 - 1805
105 5480 3466727 1583 - 1688
105 5481 253784 1595 - 1700
106 5526 288 6597 - 6703
106 5527 576 22498 - 22604
106 5530 1860611 1584 - 1690
106 5531 3624263 1583 - 1689
106 5534 47193 1723 - 1829
106 5535 167069 1704 - 1810
107 5581 2477115 1583 - 1690
107 5582 910304 1593 - 1700
107 5585 1115959 1584 - 1691
107 5586 1196622 1589 - 1696
108 5631 145124 1585 - 1693
108 5632 1137484 1590 - 1698
108 5633 5628 1981 - 2089
108 5635 7408 2025 - 2133
108 5636 3835508 1583 - 1691
108 5637 568848 1592 - 1700
109 5686 1233847 1584 - 1693
109 5687 3653966 1583 - 1692
109 5688 1240 5891 - 6000
109 5690 50838 1720 - 1829
109 5691 739702 1587 - 1696
109 5692 20407 1598 - 1707
110 5737 1801082 1583 - 1693
110 5738 988788 1590 - 1700
110 5741 1146938 1584 - 1694
110 5742 1763192 1586 - 1696
111 5787 26648 1707 - 1818
111 5788 633596 1590 - 1701
111 5789 30443 1609 - 1720
111 5791 2824 5780 - 5891
111 5792 3940462 1583 - 1694
111 5793 1066027 1589 - 1700
112 5842 723464 1585 - 1697
112 5843 3566196 1583 - 1695
112 5844 1844 3344 - 3456
112 5846 11816 1994 - 2106
112 5847 1281228 1584 - 1696
112 5848 115452 1595 - 1707
113 5893 1225657 1585 - 1698
113 5894 966664 1590 - 1703
113 5897 1077309 1584 - 1697
113 5898 2430370 1583 - 1696
114 5944 84885 1590 - 1704
114 5945 21325 1609 - 1723
114 5948 3894551 1583 - 1697
114 5949 1686167 1586 - 1700
114 5952 8512 2315 - 2429
114 5953 4560 2353 - 2467
115 5998 325323 1656 - 1771
115 5999 3351658 1583 - 1698
115 6000 16974 1609 - 1724
115 6002 5888 2336 - 2451
115 6003 1658850 1584 - 1699
115 6004 341307 1592 - 1707
116 6049 745369 1585 - 1701
116 6050 849403 1590 - 1706
116 6053 912543 1605 - 1721
116 6054 3192685 1583 - 1699
117 6104 3130986 1584 - 1701
117 6105 2064603 1583 - 1700
117 6108 211908 1655 - 1772
117 6109 292503 1598 - 1715
118 6154 127252 1700 - 1818
118 6155 2832251 1583 - 1701
118 6156 136903 1602 - 1720
118 6158 1088 5773 - 5891
118 6159 1938945 1584 - 1702
118 6160 663561 1589 - 1707
119 6205 362890 1585 - 1704
119 6206 634333 1590 - 1709
119 6209 649968 1629 - 1748
119 6210 4052809 1583 - 1702
120 6260 2380325 1584 - 1704
120 6261 2217715 1583 - 1703
120 6264 317515 1625 - 1745
120 6265 784445 1587 - 1707
121 6310 28840 1724 - 1845
121 6311 2214307 1583 - 1704
121 6312 255710 1599 - 1720
121 6315 2110835 1584 - 1705
121 6316 1090308 1586 - 1707
122 6361 87024 1639 - 1761
122 6362 312650 1590 - 1712
122 6365 401335 1629 - 1751
122 6366 4778436 1583 - 1705
122 6367 120555 1598 - 1720
123 6416 1730749 1585 - 1708
123 6417 2269742 1583 - 1706
123 6420 322037 1625 - 1748
123 6421 1377472 1584 - 1707
124 6467 1558079 1585 - 1709
124 6468 343229 1596 - 1720
124 6471 2179689 1584 - 1708
124 6472 1619003 1583 - 1707
125 6518 3456 2190 - 2315
125 6519 144 29395 - 29520
125 6521 123728 1680 - 1805
125 6522 5003269 1583 - 1708
125 6523 367928 1595 - 1720
125 6526 168569 1704 - 1829
125 6527 32906 1761 - 1886
126 6572 1181806 1585 - 1711
126 6573 2221136 1583 - 1709
126 6576 252939 1625 - 1751
126 6577 2017106 1584 - 1710
126 6578 27013 1598 - 1724
127 6623 944763 1585 - 1712
127 6624 358996 1593 - 1720
127 6627 2147951 1584 - 1711
127 6628 2248290 1583 - 1710
128 6678 4257395 1583 - 1711
128 6679 647181 1592 - 1720
128 6682 520301 1587 - 1715
128 6683 275123 1598 - 1726
129 6728 735009 1585 - 1714
129 6729 2069456 1583 - 1712
129 6730 928 5891 - 6020
129 6732 131748 1676 - 1805
129 6733 2659708 1584 - 1713
129 6734 103151 1595 - 1724
130 6779 432443 1601 - 1731
130 6780 273767 1590 - 1720
130 6783 2015217 1584 - 1714
130 6784 2978573 1583 - 1713
131 6834 3376778 1583 - 1714
131 6835 930249 1589 - 1720
131 6838 755864 1584 - 1715
131 6839 637109 1595 - 1726
132 6884 387832 1585 - 1717
132 6885 1819178 1588 - 1720
132 6886 834 3344 - 3476
132 6888 15088 1974 - 2106
132 6889 3192606 1583 - 1715
132 6890 284462 1592 - 1724
133 6935 50439 1628 - 1761
133 6936 68406 1590 - 1723
133 6939 1749583 1584 - 1717
133 6940 3821388 1583 - 1716
133 6943 2584 2315 - 2448
133 6944 7600 2334 - 2467
134 6990 2594535 1583 - 1717
134 6991 1114943 1586 - 1720
134 6994 893053 1584 - 1718
134 6995 1097469 1592 - 1726
135 7040 148715 1680 - 1815
135 7041 1447524 1585 - 1720
135 7042 14056 1609 - 1744
135 7044 12536 2316 - 2451
135 7045 3402544 1583 - 1718
135 7046 674625 1589 - 1724
136 7095 1139314 1585 - 1721
136 7096 4071798 1583 - 1719
136 7099 26374 1970 - 2106
136 7100 454378 1617 - 1753
136 7101 8136 1598 - 1734
137 7146 1907246 1585 - 1722
137 7147 1204683 1583 - 1720
137 7150 935288 1584 - 1721
137 7151 1652783 1587 - 1724
138 7196 36395 1680 - 1818
138 7197 920432 1585 - 1723
138 7198 55919 1609 - 1747
138 7200 1560 5753 - 5891
138 7201 3531174 1583 - 1721
138 7202 1154520 1586 - 1724
139 7251 625318 1612 - 1751
139 7252 3979237 1583 - 1722
139 7253 9008 2133 - 2272
139 7255 14896 1994 - 2133
139 7256 952833 1587 - 1726
139 7257 118708 1595 - 1734
140 7302 1320743 1585 - 1725
140 7303 1193637 1583 - 1723
140 7306 876737 1605 - 1745
140 7307 2308883 1584 - 1724
141 7353 347518 1590 - 1731
141 7354 67679 1609 - 1750
141 7357 3534944 1584 - 1725
141 7358 1749859 1583 - 1724
142 7407 297429 1629 - 1771
142 7408 3616194 1583 - 1725
142 7409 102391 1602 - 1744
142 7411 2880 5749 - 5891
142 7412 1350632 1584 - 1726
142 7413 330474 1592 - 1734
143 7458 834926 1585 - 1728
143 7459 1081905 1590 - 1733
143 7462 717500 1605 - 1748
143 7463 3065669 1583 - 1726
144 7509 3672 2190 - 2334
144 7510 2664 2171 - 2315
144 7513 3148249 1584 - 1728
144 7514 2356727 1583 - 1727
144 7517 85487 1723 - 1867
144 7518 103201 1704 - 1848
145 7563 92224 1680 - 1825
145 7564 3108423 1583 - 1728
145 7565 217818 1599 - 1744
145 7568 1629519 1584 - 1729
145 7569 652016 1589 - 1734
146 7614 449919 1585 - 1731
146 7615 869363 1590 - 1736
146 7618 502627 1605 - 1751
146 7619 3832917 1583 - 1729
146 7620 45174 1598 - 1744
147 7669 2380933 1584 - 1731
147 7670 2539166 1583 - 1730
147 7673 211421 1625 - 1772
147 7674 568480 1587 - 1734
148 7720 2475657 1583 - 1731
148 7721 345259 1596 - 1744
148 7724 1801679 1584 - 1732
148 7725 1077405 1586 - 1734
149 7770 166531 1612 - 1761
149 7771 554578 1590 - 1739
149 7772 624 5891 - 6040
149 7774 246770 1656 - 1805
149 7775 4581138 1583 - 1732
149 7776 150359 1595 - 1744
150 7825 1728633 1585 - 1735
150 7826 2593917 1583 - 1733
150 7829 221609 1625 - 1775
150 7830 1152899 1584 - 1734
150 7831 2942 4047 - 4197
151 7876 1758942 1585 - 1736
151 7877 464425 1593 - 1744
151 7880 1873340 1584 - 1735
151 7881 1603293 1583 - 1734
152 7926 6045 1666 - 1818
152 7927 125435 1590 - 1742
152 7930 4432 2573 - 2725
152 7931 5164643 1583 - 1735
152 7932 392149 1592 - 1744
152 7935 6232 2315 - 2467
152 7936 1064 6703 - 6855
153 7981 1174681 1585 - 1738
153 7982 2550320 1583 - 1736
153 7985 155243 1649 - 1802
153 7986 1792078 1584 - 1737
153 7987 27678 2119 - 2272
154 8032 1137634 1585 - 1739
154 8033 488184 1590 - 1744
154 8036 1849594 1584 - 1738
154 8037 2224588 1583 - 1737
155 8086 12672 2316 - 2471
155 8087 4336417 1583 - 1738
155 8088 877546 1589 - 1744
155 8091 310449 1617 - 1772
155 8092 162916 1598 - 1753
156 8137 715660 1585 - 1741
156 8138 2411792 1583 - 1739
156 8141 64184 1649 - 1805
156 8142 2385712 1584 - 1740
156 8143 122652 1598 - 1754
157 8188 614162 1585 - 1742
157 8189 414107 1590 - 1747
157 8192 1728012 1584 - 1741
157 8193 2943719 1583 - 1740
158 8243 3469188 1583 - 1741
158 8244 1159898 1586 - 1744
158 8247 557968 1587 - 1745
158 8248 512946 1595 - 1753
159 8293 364178 1612 - 1771
159 8294 2158739 1583 - 1742
159 8295 6986 2133 - 2292
159 8297 32264 1744 - 1903
159 8298 2760515 1584 - 1743
159 8299 377318 1595 - 1754
160 8344 196313 1601 - 1761
160 8345 234407 1590 - 1750
160 8348 1500807 1585 - 1745
160 8349 3768473 1583 - 1743
161 8399 2678627 1585 - 1746
161 8400 1352910 1583 - 1744
161 8403 703475 1584 - 1745
161 8404 964988 1592 - 1753
162 8449 149478 1656 - 1818
162 8450 1733079 1585 - 1747
162 8451 49797 1903 - 2065
162 8453 3680 5729 - 5891
162 8454 3027689 1583 - 1745
162 8455 736277 1592 - 1754
163 8500 1584 2190 - 2353
163 8501 7488 2152 - 2315
163 8504 1037517 1585 - 1748
163 8505 4477510 1583 - 1746
163 8508 14257 1970 - 2133
163 8509 160352 1704 - 1867
163 8510 1292 9125 - 9288
164 8555 1988701 1585 - 1749
164 8556 1445287 1583 - 1747
164 8559 748347 1584 - 1748
164 8560 1517665 1589 - 1753
165 8605 34624 1680 - 1845
165 8606 1208542 1585 - 1750
165 8607 91639 1609 - 1774
165 8610 3144240 1583 - 1748
165 8611 1220955 1589 - 1754
166 8660 549830 1585 - 1751
166 8661 4328353 1583 - 1749
166 8662 57439 1903 - 2069
166 8664 6368 5725 - 5891
166 8665 666263 1587 - 1753
166 8666 91747 1598 - 1764
167 8711 1399658 1585 - 1752
167 8712 1436781 1583 - 1750
167 8715 692336 1584 - 1751
167 8716 2171225 1586 - 1753
168 8762 624271 1590 - 1758
168 8763 112985 1609 - 1777
168 8766 3152705 1583 - 1751
168 8767 1810039 1586 - 1754
169 8816 204696 1649 - 1818
169 8817 3997083 1583 - 1752
169 8818 136294 1609 - 1778
169 8821 1055483 1584 - 1753
169 8822 306444 1595 - 1764
170 8867 911262 1585 - 1755
170 8868 1327628 1590 - 1760
170 8871 540443 1605 - 1775
170 8872 2915902 1583 - 1753
170 8873 4765 4047 - 4217
171 8918 95646 1590 - 1761
171 8919 48469 1609 - 1780
171 8922 3034148 1584 - 1755
171 8923 2517329 1583 - 1754
171 8926 2128 2315 - 2486
171 8927 2280 3507 - 3678
172 8972 12896 3229 - 3401
172 8973 3457184 1583 - 1755
172 8974 270444 1602 - 1774
172 8977 1333928 1584 - 1756
172 8978 625548 1592 - 1764
173 9023 518228 1585 - 1758
173 9024 1123113 1590 - 1763
173 9027 335060 1629 - 1802
173 9028 3672197 1583 - 1756
173 9029 51402 1923 - 2096
174 9078 2361017 1584 - 1758
174 9079 2881141 1583 - 1757
174 9082 125851 1655 - 1829
174 9083 331991 1598 - 1772
175 9128 10592 2316 - 2491
175 9129 2633241 1583 - 1758
175 9130 499142 1599 - 1774
175 9133 1517425 1584 - 1759
175 9134 1039600 1589 - 1764
176 9179 223022 1585 - 1761
176 9180 820770 1590 - 1766
176 9183 127906 1629 - 1805
176 9184 4334206 1583 - 1759
176 9185 194096 1598 - 1774
177 9234 1696413 1584 - 1761
177 9235 2948196 1583 - 1760
177 9238 151754 1625 - 1802
177 9239 897284 1587 - 1764
177 9240 6353 4047 - 4224
178 9285 1926859 1583 - 1761
178 9286 618567 1596 - 1774
178 9289 1599937 1584 - 1762
178 9290 1554637 1586 - 1764
179 9335 37718 1639 - 1818
179 9336 403377 1590 - 1769
179 9337 5148 2133 - 2312
179 9339 54232 1724 - 1903
179 9340 4624501 1583 - 1762
179 9341 575024 1595 - 1774
180 9390 1134110 1585 - 1765
180 9391 2912950 1583 - 1763
180 9394 98754 1625 - 1805
180 9395 1518082 1584 - 1764
180 9396 36104 1598 - 1778
181 9441 1300059 1585 - 1766
181 9442 647818 1593 - 1774
181 9445 1581683 1584 - 1765
181 9446 2170440 1583 - 1764
182 9492 9288 2152 - 2334
182 9493 2520 2133 - 2315
182 9496 4444033 1583 - 1765
182 9497 1081045 1592 - 1774
182 9500 113403 1723 - 1905
182 9501 49711 1704 - 1886
183 9546 675529 1585 - 1768
183 9547 2770762 1583 - 1766
183 9548 3220 2133 - 2316
183 9550 47165 1720 - 1903
183 9551 2035556 1584 - 1767
183 9552 167768 1595 - 1778
184 9597 774067 1585 - 1769
184 9598 576261 1590 - 1774
184 9601 1462621 1584 - 1768
184 9602 2887051 1583 - 1767
185 9652 3542672 1583 - 1768
185 9653 1408473 1589 - 1774
185 9656 378998 1587 - 1772
185 9657 369857 1598 - 1783
186 9702 340781 1585 - 1771
186 9703 2481982 1583 - 1769
186 9704 29199 1903 - 2089
186 9706 8024 5181 - 5367
186 9707 2427060 1584 - 1770
186 9708 412954 1592 - 1778
187 9753 348735 1601 - 1788
187 9754 404044 1590 - 1777
187 9757 1242899 1584 - 1771
187 9758 3704322 1583 - 1770
188 9808 2749379 1583 - 1771
188 9809 1604217 1586 - 1774
188 9812 527237 1584 - 1772
188 9813 819167 1595 - 1783
189 9858 116272 1629 - 1818
189 9859 2073366 1585 - 1774
189 9860 64775 1609 - 1798
189 9863 2655688 1583 - 1772
189 9864 789899 1589 - 1778
190 9909 43857 1628 - 1818
190 9910 112893 1590 - 1780
190 9913 902571 1585 - 1775
190 9914 4639159 1583 - 1773
190 9917 152 16709 - 16899
190 9918 1368 3507 - 3697
191 9964 2054118 1585 - 1776
191 9965 1701929 1583 - 1774
191 9968 577444 1584 - 1775
191 9969 1366509 1587 - 1778
192 10014 9616 3209 - 3401
192 10015 1524111 1585 - 1777
192 10016 123137 1609 - 1801
192 10019 2773201 1583 - 1775
192 10020 1269935 1586 - 1778
193 10069 424201 1612 - 1805
193 10070 4757537 1583 - 1776
193 10071 75943 1903 - 2096
193 10073 2016 5698 - 5891
193 10074 391555 1617 - 1810
193 10075 48748 1598 - 1791
194 10120 1453841 1585 - 1779
194 10121 1704657 1583 - 1777
194 10124 532667 1608 - 1802
194 10125 2008835 1584 - 1778
195 10170 2800 4292 - 4487
195 10171 873009 1585 - 1780
195 10172 183506 1609 - 1804
195 10175 2792881 1584 - 1779
195 10176 1847804 1583 - 1778
196 10225 115584 1629 - 1825
196 10226 4340387 1583 - 1779
196 10227 204161 1602 - 1798
196 10230 784917 1587 - 1783
196 10231 254951 1595 - 1791
197 10276 954532 1585 - 1782
197 10277 1606417 1583 - 1780
197 10280 408378 1605 - 1802
197 10281 2709217 1584 - 1781
197 10282 21456 2119 - 2316
198 10327 318554 1590 - 1788
198 10328 143212 1609 - 1807
198 10331 2707882 1584 - 1782
198 10332 2530352 1583 - 1781
199 10381 37656 1724 - 1923
199 10382 3564420 1583 - 1782
199 10383 460507 1599 - 1798
199 10386 1071686 1584 - 1783
199 10387 565731 1592 - 1791
200 10432 555988 1585 - 1785
200 10433 1407412 1590 - 1790
200 10436 217380 1605 - 1805
200 10437 3442252 1583 - 1783
200 10438 76968 1598 - 1798
201 10483 5696 2152 - 2353
201 10484 8803 2114 - 2315
201 10487 2327867 1584 - 1785
201 10488 3207352 1583 - 1784
201 10491 47819 1723 - 1924
201 10492 102463 1704 - 1905
202 10538 2808916 1583 - 1785
202 10539 656118 1596 - 1798
202 10542 1257448 1584 - 1786
202 10543 977518 1589 - 1791
203 10588 260827 1585 - 1788
203 10589 1102744 1590 - 1793
203 10590 2280 2133 - 2336
203 10592 88562 1700 - 1903
203 10593 3949824 1583 - 1786
203 10594 295763 1595 - 1798
204 10643 1645680 1584 - 1788
204 10644 3320988 1583 - 1787
204 10647 91908 1625 - 1829
204 10648 640164 1587 - 1791
204 10649 1260 8685 - 8889
205 10694 2079204 1583 - 1788
205 10695 788281 1593 - 1798
205 10698 1342106 1584 - 1789
205 10699 1490409 1586 - 1791
206 10744 74584 1612 - 1818
206 10745 681147 1590 - 1796
206 10746 12571 2106 - 2312
206 10748 9832 5161 - 5367
206 10749 4256313 1583 - 1789
206 10750 665553 1592 - 1798
***************************************************
2849994 148705560 1206307 1585 - 2851579
2849994 148705561 2838743 1583 - 2851577
2849994 148705562 48 31103 - 2881097
2849994 148705564 111727 1625 - 2851619
2849994 148705565 1515297 1584 - 2851578
2849994 148705566 27878 1598 - 2851592
2849995 148705611 1337669 1585 - 2851580
2849995 148705612 608246 1593 - 2851588
2849995 148705615 1637421 1584 - 2851579
2849995 148705616 2116664 1583 - 2851578
2849996 148705662 96 45201 - 2895197
2849996 148705663 32 22403 - 2872399
2849996 148705666 4550997 1583 - 2851579
2849996 148705667 995479 1592 - 2851588
2849996 148705670 108979 1723 - 2851719
2849996 148705671 44417 1704 - 2851700
2849997 148705716 738321 1585 - 2851582
2849997 148705717 2708004 1583 - 2851580
2849997 148705718 1224 5739 - 2855736
2849997 148705720 22514 1798 - 2851795
2849997 148705721 2115380 1584 - 2851581
2849997 148705722 114557 1595 - 2851592
2849998 148705767 803912 1585 - 2851583
2849998 148705768 544454 1590 - 2851588
2849998 148705771 1526124 1584 - 2851582
2849998 148705772 2825510 1583 - 2851581
2849999 148705822 3632112 1583 - 2851582
2849999 148705823 1317071 1589 - 2851588
2849999 148705826 382906 1587 - 2851586
2849999 148705827 367911 1598 - 2851597
2850000 148705872 368800 1585 - 2851585
2850000 148705873 2481200 1583 - 2851583
2850000 148705877 2481200 1584 - 2851584
2850000 148705878 368800 1592 - 2851592
There is a break after the 206 years-apart calculation followed by y years-apart results for 2849994 <= y <= 2850000. I have included these in order to better illustrate what happens next. Take a look at the last two weeks-apart entries: Their frequencies mirror the frequencies of the previous two entries. This is no coincidence: It seems that for every weeks-apart w < 148705875, there exists a weeks-apart 297411750-w whose frequency is identical to that of w. That symmetry will bring us all the way to 297411750, the only possible weeks-apart for Easters exactly 5700000 years-apart. And every weeks-apart greater than 297411750 is simply the sum of a weeks-apart less than 297411750 plus some positive multiple of 297411750. Thus the enumeration above, ending with weeks-apart 148705873, encapsulates the history of the entire sequence to infinity.
Of course, it's only a partial enumeration: years-apart from 207 to 2849993 are missing, so one may legitimately wonder what surprises (if any) might be in store. Are there any frequency examples smaller than 32? Can there exist 8 solutions for a given years-apart? Can all the weeks-apart solutions for a given years-apart ever be consecutive? And finally, a question that can only be answered by calculating the entire list: What is the index in A134691 of the term 148705873?
4 March 2008 © Rarebit Dreams