11.解と恒等式の一覧表
4/p=1/a+1/b+1/c, final (53〜97)
p | a | b | c |
P | A | B | C |
type |
53 | 14 | 265 | 3710 | 19n-4 | 5n-1 | 5(19n-4) | 5(5n-1)(19n-4) | B=kP |
53 | 14 | 280 | 2120 | 16n-11 | 2(2n-1) | 4(3n-2)(2n-1) | 4(16n-11)(3n-2) | A, AB, BP |
53 | 14 | 318 | 1113 | 23n-16 | 2(3n-2) | 6(23n-16) | 3(3n-2)(23n-16) | B=kP |
53 | 14 | 371 | 742 | 27n-1 | 7n | 7(27n-1) | 7n(27n-1) | B=kP |
53 | 15 | 114 | 30210 | 120n-67 | 15(2n-1) | 6(43n-24)(2n-1) | 30(120n-67)(43n-24) | A, AB, BP |
53 | 15 | 120 | 2120 | 40n-27 | 5(2n-1) | 10(3n-2)(2n-1) | 10(40n-27)(3n-2) | A, AB, BP |
53 | 16 | 80 | 2120 | 48n-43 | 4(3n-2) | 2(9n-8)(3n-2) | 4(48n-43)(9n-8) | A, AB, BP |
53 | 18 | 53 | 954 | 3n-1 | n | 3n-1 | n(3n-1) | B=kP |
53 | 20 | 40 | 2120 | 120n-67 | 10(3n-1) | 5(9n-5)(3n-1) | 10(120n-67)(9n-5) | A, AB, BP |
53 | 21 | 36 | 13356 | 168n-115 | 21(2n-1) | 6(19n-13)(2n-1) | 42(168n-115)(19n-13) | A, AB, BP |
53 | 24 | 30 | 2120 | 128n-75 | 8(4n-1) | 2(12n-7)(4n-1) | 8(128n-75)(12n-7) | A, AB, BP |
59 | 15 | 886 | 784110 | 120n-61 | 15(2n-1) | 2(901n-458)(2n-1) | 30(120n-61)(901n-458) | A, AB, BP |
59 | 15 | 888 | 261960 | 120n-61 | 15(2n-1) | 6(301n-153)(2n-1) | 30(120n-61)(301n-153) | A, AB, BP |
59 | 15 | 890 | 157530 | 120n-61 | 15(2n-1) | 10(181n-92)(2n-1) | 30(120n-61)(181n-92) | A, AB, BP |
59 | 15 | 894 | 87910 | 40n-21 | 5(2n-1) | 2(101n-53)(2n-1) | 10(40n-21)(101n-53) | A, AB, BP |
59 | 15 | 900 | 53100 | 120n-61 | 15(2n-1) | 30(61n-31)(2n-1) | 30(120n-61)(61n-31) | A, AB, BP |
59 | 15 | 910 | 32214 | 24n-13 | 3(2n-1) | 2(37n-20)(2n-1) | 6(24n-13)(37n-20) | A, AB, BP |
59 | 15 | 930 | 18290 | 40n-21 | 5(2n-1) | 10(21n-11)(2n-1) | 10(40n-21)(21n-11) | A, AB, BP |
59 | 15 | 944 | 14160 | 63n-4 | 16n-1 | 16(63n-4) | 16(16n-1)(63n-4) | B=kP |
59 | 15 | 960 | 11328 | 24n-13 | 3(2n-1) | 6(13n-7)(2n-1) | 6(24n-13)(13n-7) | A, AB, BP |
59 | 15 | 1062 | 5310 | 71n-12 | 3(6n-1) | 18(71n-12) | 18(6n-1)(71n-12) | B=kP |
59 | 15 | 1110 | 4366 | 8n-5 | 2n-1 | 2(5n-3)(2n-1) | 2(8n-5)(5n-3) | A, AB, BP |
59 | 15 | 1180 | 3540 | 79n-20 | 5(4n-1) | 20(79n-20) | 20(4n-1)(79n-20) | B=kP |
59 | 15 | 1416 | 2360 | 95n-36 | 3(8n-3) | 24(95n-36) | 8(8n-3)(95n-36) | B=kP |
59 | 15 | 1770 | 1770 | 4n-1 | n | 2n(4n-1) | 2n(4n-1) | A=B or B=C |
59 | 16 | 189 | 178416 | 128n-69 | 16(2n-1) | (410n-221)(2n-1) | 16(128n-69)(410n-221) | A, AB, BP |
59 | 16 | 192 | 11328 | 48n-37 | 4(3n-2) | 3(13n-10)(3n-2) | 12(48n-37)(13n-10) | A, AB, BP |
59 | 16 | 236 | 944 | 15n-1 | 4n | 4(15n-1) | 4n(15n-1) | B=kP |
59 | 16 | 240 | 885 | 24n-13 | 2(3n-1) | 6(2n-1)(3n-1) | 3(24n-13)(2n-1) | A, AB, BP |
59 | 17 | 118 | 2006 | 7n-4 | 2n-1 | 2(7n-4) | 2(2n-1)(7n-4) | B=kP |
59 | 18 | 82 | 21771 | 108n-49 | 9(3n-1) | (75n-34)(3n-1) | 9(108n-49)(75n-34) | A, AB, BP |
59 | 18 | 90 | 885 | 48n-37 | 6(2n-1) | 6(4n-3)(2n-1) | 3(48n-37)(4n-3) | A, AB, BP |
59 | 19 | 66 | 73986 | 152n-93 | 19(2n-1) | 2(85n-52)(2n-1) | 38(152n-93)(85n-52) | A, AB, BP |
59 | 20 | 59 | 1180 | 3n-1 | n | 3n-1 | n(3n-1) | B=kP |
59 | 20 | 60 | 885 | 100n-41 | 5(5n-1) | 5(5n-2)(5n-1) | 5(100n-41)(5n-2) | A, AB, BP |
59 | 24 | 40 | 885 | 108n-49 | 3(9n-1) | (9n-4)(9n-1) | 3(108n-49)(9n-4) | A, AB, BP |
59 | 25 | 36 | 53100 | 200n-141 | 25(2n-1) | 2(61n-43)(2n-1) | 50(200n-141)(61n-43) | A, AB, BP |
59 | 30 | 30 | 885 | 4n-1 | 2n | 2n | n(4n-1) | A=B or B=C |
61 | 16 | 326 | 159088 | 128n-67 | 16(2n-1) | 2(342n-179)(2n-1) | 16(128n-67)(342n-179) | A, AB, BP |
61 | 16 | 328 | 40016 | 96n-35 | 8(3n-1) | 2(129n-47)(3n-1) | 8(96n-35)(129n-47) | A, AB, BP |
61 | 16 | 336 | 10248 | 48n-35 | 4(3n-2) | 6(11n-8)(3n-2) | 12(48n-35)(11n-8) | A, AB, BP |
61 | 16 | 366 | 2928 | 23n-8 | 2(3n-1) | 6(23n-8) | 6(3n-1)(23n-8) | B=kP |
61 | 16 | 368 | 2806 | 24n-11 | 2(3n-1) | 2(9n-4)(3n-1) | 2(24n-11)(9n-4) | A, AB, BP |
61 | 16 | 488 | 976 | 31n-1 | 8n | 8(31n-1) | 8n(31n-1) | B=kP |
61 | 18 | 100 | 54900 | 144n-83 | 18(2n-1) | 4(59n-34)(2n-1) | 36(144n-83)(59n-34) | A, AB, BP |
61 | 18 | 122 | 549 | 7n-2 | 2n | 2(7n-2) | n(7n-2) | B=kP |
61 | 21 | 56 | 10248 | 168n-107 | 21(2n-1) | 14(11n-7)(2n-1) | 42(168n-107)(11n-7) | A, AB, BP |
61 | 23 | 46 | 2806 | 184n-123 | 23(2n-1) | 46(3n-2)(2n-1) | 46(184n-123)(3n-2) | A, AB, BP |
61 | 24 | 42 | 10248 | 192n-131 | 24(2n-1) | 6(22n-15)(2n-1) | 24(192n-131)(22n-15) | A, AB, BP |
67 | 17 | 1140 | 1298460 | 136n-69 | 17(2n-1) | 2(1157n-587)(2n-1) | 34(136n-69)(1157n-587) | A, AB, BP |
67 | 17 | 1156 | 77452 | 136n-69 | 17(2n-1) | 34(69n-35)(2n-1) | 34(136n-69)(69n-35) | A, AB, BP |
67 | 17 | 1206 | 20502 | 71n-4 | 18n-1 | 18(71n-4) | 18(18n-1)(71n-4) | B=kP |
67 | 17 | 1428 | 5628 | 8n-5 | 2n-1 | 2(5n-3)(2n-1) | 2(8n-5)(5n-3) | A, AB, BP |
67 | 17 | 2278 | 2278 | 4n-1 | n | 2n(4n-1) | 2n(4n-1) | A=B or B=C |
67 | 18 | 242 | 72963 | 108n-41 | 9(3n-1) | (195n-74)(3n-1) | 9(108n-41)(195n-74) | A, AB, BP |
67 | 18 | 243 | 32562 | 48n-29 | 6(2n-1) | (58n-35)(2n-1) | 6(48n-29)(58n-35) | A, AB, BP |
67 | 18 | 252 | 5628 | 48n-29 | 6(2n-1) | 12(5n-3)(2n-1) | 12(48n-29)(5n-3) | A, AB, BP |
67 | 18 | 268 | 2412 | 15n-8 | 2(2n-1) | 4(15n-8) | 4(2n-1)(15n-8) | B=kP |
67 | 18 | 306 | 1139 | 16n-13 | 2(2n-1) | 2(4n-3)(2n-1) | (16n-13)(4n-3) | A, AB, BP |
67 | 18 | 402 | 603 | 23n-2 | 6n | 6(23n-2) | 3n(23n-2) | B=kP |
67 | 20 | 105 | 5628 | 32n-29 | 4(2n-1) | (10n-9)(2n-1) | 4(32n-29)(10n-9) | A, AB, BP |
67 | 21 | 84 | 5628 | 168n-101 | 21(2n-1) | 42(5n-3)(2n-1) | 42(168n-101)(5n-3) | A, AB, BP |
67 | 24 | 56 | 5628 | 120n-53 | 6(5n-1) | (25n-11)(5n-1) | 6(120n-53)(25n-11) | A, AB, BP |
67 | 28 | 42 | 5628 | 224n-157 | 28(2n-1) | 14(10n-7)(2n-1) | 28(224n-157)(10n-7) | A, AB, BP |
67 | 30 | 38 | 19095 | 180n-113 | 15(3n-1) | (51n-32)(3n-1) | 15(180n-113)(51n-32) | A, AB, BP |
67 | 34 | 34 | 1139 | 4n-1 | 2n | 2n | n(4n-1) | A=B or B=C |
71 | 18 | 1279 | 1634562 | 144n-73 | 18(2n-1) | (2594n-1315)(2n-1) | 18(144n-73)(2594n-1315) | A, AB, BP |
71 | 18 | 1280 | 817920 | 144n-73 | 18(2n-1) | 4(649n-329)(2n-1) | 36(144n-73)(649n-329) | A, AB, BP |
71 | 18 | 1281 | 545706 | 144n-73 | 18(2n-1) | 3(866n-439)(2n-1) | 18(144n-73)(866n-439) | A, AB, BP |
71 | 18 | 1282 | 409599 | 108n-37 | 9(3n-1) | (975n-334)(3n-1) | 9(108n-37)(975n-334) | A, AB, BP |
71 | 18 | 1284 | 273492 | 144n-73 | 18(2n-1) | 12(217n-110)(2n-1) | 36(144n-73)(217n-110) | A, AB, BP |
71 | 18 | 1287 | 182754 | 48n-25 | 6(2n-1) | (290n-151)(2n-1) | 6(48n-25)(290n-151) | A, AB, BP |
71 | 18 | 1290 | 137385 | 108n-37 | 9(3n-1) | 3(327n-112)(3n-1) | 9(108n-37)(327n-112) | A, AB, BP |
71 | 18 | 1296 | 92016 | 48n-25 | 6(2n-1) | 4(73n-38)(2n-1) | 12(48n-25)(73n-38) | A, AB, BP |
71 | 18 | 1305 | 61770 | 48n-25 | 6(2n-1) | 3(98n-51)(2n-1) | 6(48n-25)(98n-51) | A, AB, BP |
71 | 18 | 1314 | 46647 | 48n-25 | 6(2n-1) | 2(148n-77)(2n-1) | 3(48n-25)(148n-77) | A, AB, BP |
71 | 18 | 1332 | 31524 | 48n-25 | 6(2n-1) | 12(25n-13)(2n-1) | 12(48n-25)(25n-13) | A, AB, BP |
71 | 18 | 1349 | 24282 | 75n-4 | 19n-1 | 19(75n-4) | 19(19n-1)(75n-4) | B=kP |
71 | 18 | 1359 | 21442 | 16n-9 | 2(2n-1) | (34n-19)(2n-1) | 2(16n-9)(34n-19) | A, AB, BP |
71 | 18 | 1386 | 16401 | 48n-25 | 6(2n-1) | 6(52n-27)(2n-1) | 3(48n-25)(52n-27) | A, AB, BP |
71 | 18 | 1420 | 12780 | 79n-8 | 2(10n-1) | 20(79n-8) | 20(10n-1)(79n-8) | B=kP |
71 | 18 | 1440 | 11360 | 16n-9 | 2(2n-1) | 4(9n-5)(2n-1) | 4(16n-9)(9n-5) | A, AB, BP |
71 | 18 | 1491 | 8946 | 83n-12 | 3(7n-1) | 21(83n-12) | 21(7n-1)(83n-12) | B=kP |
71 | 18 | 1562 | 7029 | 87n-16 | 2(11n-2) | 22(87n-16) | 11(11n-2)(87n-16) | B=kP |
71 | 18 | 1602 | 6319 | 16n-9 | 2(2n-1) | 2(20n-11)(2n-1) | (16n-9)(20n-11) | A, AB, BP |
71 | 18 | 1704 | 5112 | 95n-24 | 6(4n-1) | 24(95n-24) | 24(4n-1)(95n-24) | B=kP |
71 | 18 | 1917 | 3834 | 107n-36 | 9(3n-1) | 27(107n-36) | 27(3n-1)(107n-36) | B=kP |
71 | 18 | 2130 | 3195 | 119n-48 | 6(5n-2) | 30(119n-48) | 15(5n-2)(119n-48) | B=kP |
71 | 18 | 2556 | 2556 | 4n-1 | n | 2n(4n-1) | 2n(4n-1) | A=B or B=C |
71 | 19 | 270 | 364230 | 152n-81 | 19(2n-1) | 2(289n-154)(2n-1) | 38(152n-81)(289n-154) | A, AB, BP |
71 | 19 | 284 | 5396 | 15n-4 | 4n-1 | 4(15n-4) | 4(4n-1)(15n-4) | B=kP |
71 | 19 | 342 | 1278 | 16n-9 | 4n-1 | 2(2n-1)(4n-1) | 2(16n-9)(2n-1) | A, AB, BP |
71 | 20 | 158 | 112180 | 160n-89 | 20(2n-1) | 2(178n-99)(2n-1) | 20(160n-89)(178n-99) | A, AB, BP |
71 | 20 | 160 | 11360 | 120n-49 | 10(3n-1) | 5(27n-11)(3n-1) | 10(120n-49)(27n-11) | A, AB, BP |
71 | 20 | 180 | 1278 | 32n-25 | 4(2n-1) | 4(4n-3)(2n-1) | 2(32n-25)(4n-3) | A, AB, BP |
71 | 20 | 284 | 355 | 15n-4 | 4n | 4(15n-4) | n(15n-4) | B=kP |
71 | 21 | 126 | 1278 | 48n-25 | 3(4n-1) | 6(2n-1)(4n-1) | 6(48n-25)(2n-1) | A, AB, BP |
71 | 22 | 92 | 71852 | 176n-105 | 22(2n-1) | 4(57n-34)(2n-1) | 44(176n-105)(57n-34) | A, AB, BP |
71 | 22 | 99 | 1278 | 32n-25 | 2(4n-1) | (4n-3)(4n-1) | 2(32n-25)(4n-3) | A, AB, BP |
71 | 24 | 71 | 1704 | 3n-1 | n | 3n-1 | n(3n-1) | B=kP |
71 | 24 | 72 | 1278 | 120n-49 | 6(5n-1) | 6(5n-2)(5n-1) | 6(120n-49)(5n-2) | A, AB, BP |
71 | 26 | 56 | 51688 | 208n-137 | 26(2n-1) | 4(41n-27)(2n-1) | 52(208n-137)(41n-27) | A, AB, BP |
71 | 27 | 54 | 1278 | 60n-49 | 3(5n-1) | (5n-4)(5n-1) | 3(60n-49)(5n-4) | A, AB, BP |
71 | 30 | 45 | 1278 | 144n-73 | 6(6n-1) | 9(2n-1)(6n-1) | 18(144n-73)(2n-1) | A, AB, BP |
71 | 32 | 40 | 11360 | 192n-121 | 16(3n-1) | 2(27n-17)(3n-1) | 16(192n-121)(27n-17) | A, AB, BP |
71 | 36 | 36 | 1278 | 4n-1 | 2n | 2n | n(4n-1) | A=B or B=C |
73 | 20 | 210 | 30660 | 160n-87 | 20(2n-1) | 10(46n-25)(2n-1) | 20(160n-87)(46n-25) | A, AB, BP |
73 | 20 | 219 | 4380 | 11n-4 | 3n-1 | 3(11n-4) | 3(3n-1)(11n-4) | B=kP |
73 | 20 | 220 | 4015 | 60n-47 | 5(3n-2) | 5(9n-7)(3n-2) | 5(60n-47)(9n-7) | A, AB, BP |
73 | 20 | 292 | 730 | 15n-2 | 4n | 4(15n-2) | 2n(15n-2) | B=kP |
73 | 21 | 140 | 30660 | 168n-95 | 21(2n-1) | 14(23n-13)(2n-1) | 42(168n-95)(23n-13) | A, AB, BP |
73 | 21 | 146 | 3066 | 7n-4 | 2n-1 | 2(7n-4) | 2(2n-1)(7n-4) | B=kP |
73 | 22 | 110 | 4015 | 132n-59 | 11(3n-1) | 11(9n-4)(3n-1) | 11(132n-59)(9n-4) | A, AB, BP |
79 | 20 | 1581 | 2497980 | 240n-161 | 20(3n-2) | 3(1601n-1074)(3n-2) | 60(240n-161)(1601n-1074) | A, AB, BP |
79 | 20 | 1582 | 1249780 | 160n-81 | 20(2n-1) | 2(1602n-811)(2n-1) | 20(160n-81)(1602n-811) | A, AB, BP |
79 | 20 | 1584 | 625680 | 120n-41 | 10(3n-1) | 3(401n-137)(3n-1) | 30(120n-41)(401n-137) | A, AB, BP |
79 | 20 | 1585 | 500860 | 160n-81 | 20(2n-1) | 5(642n-325)(2n-1) | 20(160n-81)(642n-325) | A, AB, BP |
79 | 20 | 1588 | 313630 | 120n-41 | 10(3n-1) | 2(603n-206)(3n-1) | 10(120n-41)(603n-206) | A, AB, BP |
79 | 20 | 1590 | 251220 | 160n-81 | 20(2n-1) | 10(322n-163)(2n-1) | 20(160n-81)(322n-163) | A, AB, BP |
79 | 20 | 1596 | 157605 | 60n-41 | 5(3n-2) | 3(101n-69)(3n-2) | 15(60n-41)(101n-69) | A, AB, BP |
79 | 20 | 1600 | 126400 | 120n-41 | 10(3n-1) | 5(243n-83)(3n-1) | 10(120n-41)(243n-83) | A, AB, BP |
79 | 20 | 1605 | 101436 | 32n-17 | 4(2n-1) | (130n-69)(2n-1) | 4(32n-17)(130n-69) | A, AB, BP |
79 | 20 | 1620 | 63990 | 120n-41 | 10(3n-1) | 30(41n-14)(3n-1) | 30(120n-41)(41n-14) | A, AB, BP |
79 | 20 | 1630 | 51508 | 32n-17 | 4(2n-1) | 2(66n-35)(2n-1) | 4(32n-17)(66n-35) | A, AB, BP |
79 | 20 | 1659 | 33180 | 83n-4 | 21n-1 | 21(83n-4) | 21(21n-1)(83n-4) | B=kP |
79 | 20 | 1660 | 32785 | 60n-41 | 5(3n-2) | 5(63n-43)(3n-2) | 5(60n-41)(63n-43) | A, AB, BP |
79 | 20 | 1680 | 26544 | 24n-17 | 2(3n-2) | 3(17n-12)(3n-2) | 6(24n-17)(17n-12) | A, AB, BP |
79 | 20 | 1738 | 17380 | 87n-8 | 2(11n-1) | 22(87n-8) | 22(11n-1)(87n-8) | B=kP |
79 | 20 | 1780 | 14062 | 24n-17 | 2(3n-2) | 2(27n-19)(3n-2) | 2(24n-17)(27n-19) | A, AB, BP |
79 | 20 | 1896 | 9480 | 95n-16 | 4(6n-1) | 24(95n-16) | 24(6n-1)(95n-16) | B=kP |
79 | 20 | 1975 | 7900 | 99n-20 | 5(5n-1) | 25(99n-20) | 25(5n-1)(99n-20) | B=kP |
79 | 20 | 1980 | 7821 | 12n-5 | 3n-1 | 3(5n-2)(3n-1) | 3(12n-5)(5n-2) | A, AB, BP |
79 | 20 | 2212 | 5530 | 111n-32 | 4(7n-2) | 28(111n-32) | 14(7n-2)(111n-32) | B=kP |
79 | 20 | 2370 | 4740 | 119n-40 | 10(3n-1) | 30(119n-40) | 30(3n-1)(119n-40) | B=kP |
79 | 20 | 2844 | 3555 | 143n-64 | 4(9n-4) | 36(143n-64) | 9(9n-4)(143n-64) | B=kP |
79 | 20 | 3160 | 3160 | 4n-1 | n | 2n(4n-1) | 2n(4n-1) | A=B or B=C |
79 | 21 | 332 | 550788 | 168n-89 | 21(2n-1) | 2(353n-187)(2n-1) | 42(168n-89)(353n-187) | A, AB, BP |
79 | 21 | 336 | 26544 | 168n-89 | 21(2n-1) | 42(17n-9)(2n-1) | 42(168n-89)(17n-9) | A, AB, BP |
79 | 21 | 420 | 1580 | 24n-17 | 3(2n-1) | 6(3n-2)(2n-1) | 2(24n-17)(3n-2) | A, AB, BP |
79 | 21 | 474 | 1106 | 23n-13 | 3(2n-1) | 6(23n-13) | 2(2n-1)(23n-13) | B=kP |
79 | 22 | 198 | 7821 | 132n-53 | 11(3n-1) | 33(5n-2)(3n-1) | 33(132n-53)(5n-2) | A, AB, BP |
79 | 22 | 220 | 1580 | 24n-17 | 2(3n-1) | 2(3n-2)(3n-1) | 2(24n-17)(3n-2) | A, AB, BP |
79 | 24 | 112 | 26544 | 144n-65 | 12(3n-1) | 2(51n-23)(3n-1) | 12(144n-65)(51n-23) | A, AB, BP |
79 | 24 | 120 | 1580 | 56n-33 | 2(7n-2) | (7n-4)(7n-2) | 2(56n-33)(7n-4) | A, AB, BP |
79 | 25 | 100 | 1580 | 60n-41 | 5(3n-1) | 5(3n-2)(3n-1) | 5(60n-41)(3n-2) | A, AB, BP |
79 | 28 | 70 | 1580 | 64n-49 | 4(4n-1) | 2(4n-3)(4n-1) | 4(64n-49)(4n-3) | A, AB, BP |
79 | 30 | 60 | 1580 | 160n-81 | 10(4n-1) | 20(2n-1)(4n-1) | 20(160n-81)(2n-1) | A, AB, BP |
79 | 36 | 44 | 7821 | 180n-101 | 9(5n-1) | (25n-14)(5n-1) | 9(180n-101)(25n-14) | A, AB, BP |
79 | 36 | 45 | 1580 | 160n-81 | 4(10n-1) | 5(2n-1)(10n-1) | 20(160n-81)(2n-1) | A, AB, BP |
79 | 40 | 40 | 1580 | 4n-1 | 2n | 2n | n(4n-1) | A=B or B=C |
83 | 21 | 1744 | 3039792 | 168n-85 | 21(2n-1) | 2(1765n-893)(2n-1) | 42(168n-85)(1765n-893) | A, AB, BP |
83 | 21 | 1746 | 1014426 | 168n-85 | 21(2n-1) | 6(589n-298)(2n-1) | 42(168n-85)(589n-298) | A, AB, BP |
83 | 21 | 1750 | 435750 | 168n-85 | 21(2n-1) | 14(253n-128)(2n-1) | 42(168n-85)(253n-128) | A, AB, BP |
83 | 21 | 1752 | 339304 | 56n-29 | 7(2n-1) | 2(197n-102)(2n-1) | 14(56n-29)(197n-102) | A, AB, BP |
83 | 21 | 1764 | 146412 | 168n-85 | 21(2n-1) | 42(85n-43)(2n-1) | 42(168n-85)(85n-43) | A, AB, BP |
83 | 21 | 1792 | 63744 | 24n-13 | 3(2n-1) | 2(37n-20)(2n-1) | 6(24n-13)(37n-20) | A, AB, BP |
83 | 21 | 1806 | 49966 | 56n-29 | 7(2n-1) | 14(29n-15)(2n-1) | 14(56n-29)(29n-15) | A, AB, BP |
83 | 21 | 1826 | 38346 | 87n-4 | 22n-1 | 22(87n-4) | 22(22n-1)(87n-4) | B=kP |
83 | 21 | 1890 | 22410 | 24n-13 | 3(2n-1) | 6(13n-7)(2n-1) | 6(24n-13)(13n-7) | A, AB, BP |
83 | 21 | 1992 | 13944 | 95n-12 | 3(8n-1) | 24(95n-12) | 24(8n-1)(95n-12) | B=kP |
83 | 21 | 2184 | 8632 | 8n-5 | 2n-1 | 2(5n-3)(2n-1) | 2(8n-5)(5n-3) | A, AB, BP |
83 | 21 | 2324 | 6972 | 111n-28 | 7(4n-1) | 28(111n-28) | 28(4n-1)(111n-28) | B=kP |
83 | 21 | 2490 | 5810 | 119n-36 | 3(10n-3) | 30(119n-36) | 10(10n-3)(119n-36) | B=kP |
83 | 21 | 3486 | 3486 | 4n-1 | n | 2n(4n-1) | 2n(4n-1) | A=B or B=C |
83 | 22 | 366 | 167079 | 132n-49 | 11(3n-1) | 3(97n-36)(3n-1) | 33(132n-49)(97n-36) | A, AB, BP |
83 | 22 | 374 | 15521 | 132n-49 | 11(3n-1) | 11(27n-10)(3n-1) | 11(132n-49)(27n-10) | A, AB, BP |
83 | 22 | 462 | 1743 | 16n-13 | 2(2n-1) | 2(4n-3)(2n-1) | (16n-13)(4n-3) | A, AB, BP |
83 | 24 | 156 | 8632 | 64n-45 | 8(2n-1) | 4(10n-7)(2n-1) | 8(64n-45)(10n-7) | A, AB, BP |
83 | 24 | 166 | 1992 | 7n-1 | 2n | 2(7n-1) | 2n(7n-1) | B=kP |
83 | 24 | 168 | 1743 | 36n-25 | 3(3n-1) | 3(3n-2)(3n-1) | 3(36n-25)(3n-2) | A, AB, BP |
83 | 26 | 104 | 8632 | 208n-125 | 26(2n-1) | 52(5n-3)(2n-1) | 52(208n-125)(5n-3) | A, AB, BP |
83 | 27 | 90 | 22410 | 72n-61 | 9(2n-1) | 2(13n-11)(2n-1) | 18(72n-61)(13n-11) | A, AB, BP |
83 | 28 | 83 | 2324 | 3n-1 | n | 3n-1 | n(3n-1) | B=kP |
83 | 28 | 84 | 1743 | 140n-57 | 7(5n-1) | 7(5n-2)(5n-1) | 7(140n-57)(5n-2) | A, AB, BP |
83 | 30 | 70 | 1743 | 72n-61 | 6(3n-1) | 2(6n-5)(3n-1) | 3(72n-61)(6n-5) | A, AB, BP |
83 | 36 | 49 | 146412 | 288n-205 | 36(2n-1) | (170n-121)(2n-1) | 36(288n-205)(170n-121) | A, AB, BP |
83 | 42 | 42 | 1743 | 4n-1 | 2n | 2n | n(4n-1) | A=B or B=C |
89 | 23 | 690 | 61410 | 184n-95 | 23(2n-1) | 46(31n-16)(2n-1) | 46(184n-95)(31n-16) | A, AB, BP |
89 | 23 | 712 | 16376 | 31n-4 | 8n-1 | 8(31n-4) | 8(8n-1)(31n-4) | B=kP |
89 | 24 | 306 | 108936 | 192n-103 | 24(2n-1) | 6(110n-59)(2n-1) | 24(192n-103)(110n-59) | A, AB, BP |
89 | 24 | 312 | 13884 | 72n-55 | 6(3n-2) | 3(21n-16)(3n-2) | 6(72n-55)(21n-16) | A, AB, BP |
89 | 24 | 356 | 2136 | 15n-1 | 4n | 4(15n-1) | 4n(15n-1) | B=kP |
89 | 24 | 534 | 712 | 23n-3 | 6n | 6(23n-3) | 2n(23n-3) | B=kP |
89 | 26 | 156 | 13884 | 208n-119 | 26(2n-1) | 52(7n-4)(2n-1) | 52(208n-119)(7n-4) | A, AB, BP |
89 | 26 | 178 | 1157 | 7n-2 | 2n | 2(7n-2) | n(7n-2) | B=kP |
89 | 30 | 89 | 2670 | 3n-1 | n | 3n-1 | n(3n-1) | B=kP |
89 | 39 | 52 | 13884 | 312n-223 | 39(2n-1) | 26(7n-5)(2n-1) | 78(312n-223)(7n-5) | A, AB, BP |
97 | 25 | 810 | 392850 | 200n-103 | 25(2n-1) | 10(167n-86)(2n-1) | 50(200n-103)(167n-86) | A, AB, BP |
97 | 25 | 850 | 16490 | 40n-23 | 5(2n-1) | 10(7n-4)(2n-1) | 10(40n-23)(7n-4) | A, AB, BP |
97 | 25 | 970 | 4850 | 39n-20 | 5(2n-1) | 10(39n-20) | 10(2n-1)(39n-20) | B=kP |
97 | 26 | 364 | 35308 | 208n-111 | 26(2n-1) | 52(15n-8)(2n-1) | 52(208n-111)(15n-8) | A, AB, BP |
97 | 26 | 388 | 5044 | 15n-8 | 2(2n-1) | 4(15n-8) | 4(2n-1)(15n-8) | B=kP |
97 | 28 | 182 | 35308 | 224n-127 | 28(2n-1) | 14(30n-17)(2n-1) | 28(224n-127)(30n-17) | A, AB, BP |
97 | 28 | 194 | 2716 | 7n-1 | 2n | 2(7n-1) | 2n(7n-1) | B=kP |
97 | 34 | 85 | 16490 | 272n-175 | 34(2n-1) | 17(14n-9)(2n-1) | 34(272n-175)(14n-9) | A, AB, BP |
E-mail : kc2h-msm@asahi-net.or.jp三島 久典