A092006
Numbers that can be expressed as the difference of the squares of primes in exactly ten distinct ways.
Original entry on oeis.org
21840, 43680, 57120, 73080, 87360, 101640, 127512, 128520, 130200, 162792, 173712, 181608, 184800, 196560, 200928, 221760, 229320, 231840, 240240, 271320, 290472, 310128, 327600, 350280, 370272, 426360, 442680, 461472, 471240, 494760
Offset: 1
21840 = 149^2-19^2 = 151^2-31^2 = 157^2-53^2 = 179^2-101^2 =
223^2-167^2 = 281^2-239^2 = 379^2-349^2 = 467^2-443^2 = 787^2-773^2 =
1097^2-1087^2
A092007
Numbers that can be expressed as the difference of the squares of primes in exactly eleven distinct ways.
Original entry on oeis.org
10920, 14280, 18480, 24360, 31920, 36120, 37128, 46200, 48048, 62832, 64680, 144480, 194712, 251160, 338520, 466032, 556920, 622440, 628320, 683760, 734160, 753480, 789360, 794640, 797160, 829920, 850080, 852720, 871080, 880440, 888888
Offset: 1
10920 = 107^2-23^2 = 109^2-31^2 = 113^2-43^2 = 131^2-79^2 =
151^2-109^2 = 197^2-167^2 = 223^2-197^2 = 283^2-263^2 = 397^2-383^2 =
461^2-449^2 = 2731^2-2729^2
A092008
Numbers that can be expressed as the difference of the squares of primes in exactly twelve distinct ways.
Original entry on oeis.org
55440, 57960, 94248, 157080, 371280, 394680, 404040, 414120, 447720, 502320, 560280, 572880, 578760, 583440, 619080, 656880, 742560, 756840, 777480, 906360, 939120, 963480, 988680, 1033032, 1053360, 1056720, 1062600, 1088472, 1096680
Offset: 1
55440 = 239^2-41^2 = 257^2-103^2 = 283^2-157^2 = 307^2-197^2 =
353^2-263^2 = 359^2-271^2 = 421^2-349^2 = 523^2-467^2 = 1549^2-1531^2 =
1987^2-1973^2 = 2777^2-2767^2 = 3469^2-3461^2
A092009
Numbers that can be expressed as the difference of the squares of primes in exactly thirteen distinct ways.
Original entry on oeis.org
236208, 316680, 480480, 644280, 750120, 757680, 792120, 822120, 822360, 896280, 925680, 1015560, 1025640, 1044120, 1067640, 1129128, 1136520, 1255800, 1274280, 1299480, 1391280, 1484280, 1487640, 1489488, 1572648, 1616160, 1707888
Offset: 1
236208 = 487^2-31^2 = 547^2-251^2 = 577^2-311^2 = 643^2-421^2 =
787^2-619^2 = 853^2-701^2 = 2137^2-2081^2 = 2833^2-2791^2 = 4933^2-4909^2 =
8443^2-8429^2 = 14767^2-14759^2 = 19687^2-19681^2 = 59053^2-59051^2
A092010
Numbers that can be expressed as the difference of the squares of primes in exactly fourteen distinct ways.
Original entry on oeis.org
469560, 552552, 681720, 702240, 705432, 731640, 766920, 941640, 1069320, 1076712, 1102920, 1193808, 1201200, 1242360, 1312080, 1343160, 1372560, 1439592, 1506120, 1527960, 1692600, 1700160, 1736280, 1744680, 1760880
Offset: 1
469560 = 691^2-89^2 = 761^2-331^2 = 769^2-349^2 = 827^2-463^2 =
1033^2-773^2 = 1223^2-1013^2 = 1451^2-1279^2 = 1583^2-1427^2 = 1747^2-1607^2
= 1871^2-1741^2 = 2837^2-2753^2 = 3049^2-2971^2 = 3389^2-3319^2 =
19571^2-19559^2
A092011
Numbers that can be expressed as the difference of the squares of primes in exactly fifteen distinct ways.
Original entry on oeis.org
207480, 267960, 535920, 542640, 614040, 652080, 674520, 720720, 950040, 1178520, 1197840, 1256640, 1321320, 1324680, 1356600, 1369368, 1441440, 1459920, 1510320, 1543080, 1691760, 1727880, 1802640, 1900080, 1984920, 2088240
Offset: 1
207480 = 457^2-37^2 = 461^2-71^2 = 463^2-83^2 = 467^2-103^2 =
523^2-257^2 = 599^2-389^2 = 661^2-479^2 = 743^2-587^2 = 863^2-733^2 =
967^2-853^2 = 1277^2-1193^2 = 1759^2-1699^2 = 2749^2-2711^2 = 3719^2-3691^2
= 51871^2-51869^2
A092012
Numbers that can be expressed as the difference of the squares of primes in exactly sixteen distinct ways.
Original entry on oeis.org
175560, 341880, 408408, 545160, 600600, 656040, 840840, 912912, 942480, 954408, 1007160, 1302840, 1350888, 1367520, 1442280, 1609608, 2457840, 2492280, 3243240, 3651648, 3797640, 3982440, 4212600, 4370520, 4440072, 4775232
Offset: 1
175560 = 421^2-41^2 = 431^2-101^2 = 439^2-131^2 = 463^2-197^2 =
499^2-271^2 = 523^2-313^2 = 557^2-367^2 = 853^2-743^2 = 1193^2-1117^2 =
1493^2-1433^2 = 2017^2-1973^2 = 2111^2-2069^2 = 6277^2-6263^2 =
7321^2-7309^2 = 14633^2-14627^2 = 43891^2-43889^2
A092013
Numbers that can be expressed as the difference of the squares of primes in exactly seventeen distinct ways.
Original entry on oeis.org
185640, 212520, 286440, 328440, 360360, 414960, 425040, 1099560, 1273272, 1526280, 1633632, 2090088, 2635248, 3124968, 3825360, 4461072, 4740120, 4758600, 5213208, 6240360, 7086240, 8251320, 8539440, 9064440, 9129120
Offset: 1
185640 = 431^2-11^2 = 433^2-43^2 = 443^2-103^2 = 487^2-227^2 =
509^2-271^2 = 547^2-337^2 = 557^2-353^2 = 601^2-419^2 = 631^2-461^2 =
733^2-593^2 = 1229^2-1151^2 = 1361^2-1291^2 = 1811^2-1759^2 = 3109^2-3079^2
= 3329^2-3301^2 = 3583^2-3557^2 = 15473^2-15467^2
A092014
Numbers that can be expressed as the difference of the squares of primes in exactly eighteen distinct ways.
Original entry on oeis.org
314160, 378840, 1127280, 1835400, 2234232, 3485328, 6016920, 6588120, 7611240, 7868280, 8713320, 9838920, 9969960, 10210200, 10799880, 10952760, 11291280, 11509680, 11938080, 12326160, 12437880, 12815880, 12983880, 13693680
Offset: 1
314160 = 563^2-53^2 = 571^2-109^2 = 577^2-137^2 = 607^2-233^2 =
641^2-311^2 = 701^2-421^2 = 727^2-463^2 = 853^2-643^2 = 1009^2-839^2 =
1223^2-1087^2 = 1483^2-1373^2 = 2833^2-2777^2 = 3761^2-3719^2 =
3947^2-3907^2 = 4637^2-4603^2 = 7151^2-7129^2 = 26183^2-26177^2 =
78541^2-78539^2
A092015
Numbers that can be expressed as the difference of the squares of primes in exactly nineteen distinct ways.
Original entry on oeis.org
120120, 513240, 722568, 2348808, 3721872, 4269720, 5442360, 5754840, 6109488, 7549080, 8288280, 9043320, 10986360, 12538680, 13037640, 13813800, 14395920, 15181320, 15408120, 15571920, 15735720, 16151520, 16379160, 16696680
Offset: 1
120120 = 347^2-17^2 = 349^2-41^2 = 353^2-67^2 = 383^2-163^2 =
421^2-239^2 = 463^2-307^2 = 467^2-313^2 = 499^2-359^2 = 521^2-389^2 =
601^2-491^2 = 757^2-673^2 = 1031^2-971^2 = 1181^2-1129^2 = 1451^2-1409^2 =
2017^2-1987^2 = 2741^2-2719^2 = 4297^2-4283^2 = 5011^2-4999^2 =
15017^2-15013^2.