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