First 22 terms of A226950 and their partitions into two distinct higher powers A226950(1) = 7449150177 = 1953^3 = (3^2 * 7 * 31) ^ 3 = A226777(61) = A076467(2367) = 1389928896 + 6059221281 = 1116^3 + 279^4 = (2^2*3^2*31)^3 + (3^2*31)^4 = A076467(1398) + A076467(2218) = 2217373921 + 5231776256 = 217^4 + 1736^3 = (7*31)^4 + (2^3*7*31)^3 = A076467(1618) + A076467(2117) A226950(2) = 8936757492481 = 1729^4 = (7 * 13 * 19) ^ 4 = A051388(1)^4 = A226777(231) = A076467(22946) = 5168743489 + 8931588748992 = 1729^3 + 20748^3 = (7*13*19)^3 + (2^2*3*7*13*19)^3 = A076467(2110) + A076467(22941) = 3768014003481 + 5168743489000 = 15561^3 + 17290^3 = (3^2*7*13*19)^3 + (2*5*7*13*19)^3 = A076467(17349) + A076467(19215) A226950(3) = 11587386200625 = 1845^4 = (3 ^ 2 * 5 * 41) ^ 4 = A226777(243) = A076467(24963) = 1766100625 + 11585620100000 = 205^4 + 410^5 = (5*41)^4 + (2*5*41)^5 = A076467(1505) + A076467(24961) = 4746193387776 + 6841192812849 = 1476^4 + 369^5 = (2^2*3^2*41)^4 + (3^2*41)^5 = A076467(18693) + A076467(21042) A226950(4) = 22449633661000 = 28210^3 = (2 * 5 * 7 * 13 * 31) ^ 3 = A226777(266) = A076467(30942) = 275894451000 + 22173739210000 = 6510^3 + 2170^4 = (2*3*5*7*31)^3 + (2*5*7*31)^4 = A076467(7476) + A076467(30818) = 5964206610375 + 16485427050625 = 18135^3 + 2015^4 = (3^2*5*13*31)^3 + (5*13*31)^4 = A076467(20127) + A076467(27988) A226950(5) = 30511719124992 = 31248^3 = (2^4 * 3^2 * 7 * 31) ^ 3 = A226777(283) = A076467(34186) = 5693148758016 + 24818570366976 = 17856^3 + 2232^4 = (2^6*3^2*31)^3 + (2^3*3^2*31)^4 = A076467(19826) + A076467(31966) = 9082363580416 + 21429355544576 = 1736^4 + 27776^3 = (2^3*7*31)^4 + (2^7*7*31)^3 = A076467(23066) + A076467(30479) A226950(6) = 36443545848801 = 2457^4 = (3^3 * 7 * 13) ^ 4 = A051388(2)^4 = A226777(287) = A076467(36220) = 526144285017 + 35917401563784 = 8073^3 + 32994^3 = (3^3*13*23)^3 + (2*3^3*13*47)^3 = A076467(9195) + A076467(36050) = 10812920196897 + 25630625651904 = 22113^3 + 29484^3 = (3^5*7*13)^3 + (2^2*3^4*7*13)^3 = A076467(24409) + A076467(32303) A226950(7) = 283680450809856 = 4104^4 = (2^3 * 3^3 * 19) ^ 4 = A051388(3)^4 = A226777(421) = A076467(70714) = 552983334912 + 283127467474944 = 8208^3 + 65664^3 = (2^4*3^3*19)^3 + (2^7*3^3*19) = A076467(9344) + A076467(70668) = 50390606393856 + 233289844416000 = 36936^3 + 61560^3 = (2^3*3^5*19)^3 + (2^3*3^4*5*19)^3 = A076467(40248) + A076467(66339) A226950(8) = 583096733580816 = 4914^4 = (2 * 3^3 * 7 * 13) ^ 4 = A051388(4)^4 = A226777(474) = A076467(89493) = 118660303944 + 582978073276872 = 4914^3 + 83538^3 = (2*3^3*7*13)^3 + (2*3^3*7*13*17)^3 = A076467(5705) + A076467(89487) = 50059815726375 + 533036917854441 = 36855^3 + 81081^3 = (3^4*5*7*13)^3 + (3^4*7*11*13)^3 = A076467(40161) + A076467(86905) A226950(9) = 613579106939841 = 4977^4 = (3^2 * 7 * 79) ^ 4 = A051388(5)^4 = A226777(479) = A076467(90999) = 7890107061312 + 605688999878529 = 19908^3 + 84609^3 = (2^2*3^2*7*79)^3 + (3^2*7*17*79)^3 = A076467(22036) + A076467(90614) = 250547427470088 + 363031679469753 = 63042^3 + 71337^3 = (2*3*7*19*79)^3 + (3*7*43*79)^3 = A076467(67904) + A076467(76651) A226950(10) = 3958783819215057 = 158193^3 = (3^6 * 7 * 31) ^ 3 = A226777(650) = A076467(167626) = 738665202419136 + 3220118616795921 = 90396^3 + 7533^4 = (2^2*3^6*31)^3 + (3^5*31)^4 = A076467(96697) + A076467(156645) = 1178403413950161 + 2780380405264896 = 5859^4 + 140616^3 = (3^3*7*31)^4 + (2^3*3^4*7*31)^3 = A076467(112672) + A076467(149279) A226950(11) = 4098048384032001 = 8001^4 = (3^2 * 7 * 127) ^ 4 = A051388(6)^4 = A226777(658) = A076467(169536) = 512192024001 + 4097536192008000 = 8001^3 + 160020^3 = (3^2*7*127)^3 + (2^2*3^2*5*7*127)^3 = A076467(9116) + A076467(169529) = 201993358206024 + 3896055025825977 = 58674^3 + 157353^3 = (2*3*7*11*127)^3 + (3*7*59*127)^3 = A076467(63290) + A076467(166749) A226950(12) = 4556608567054336 = 8216^4 = (2^3 * 13 * 79) ^ 4 = A051388(7)^4 = A226777(670) = A076467(175541) = 119793993486336 + 4436814573568000 = 49296^3 + 164320^3 = (2^4*3*13*79)^3 + (2^2*3*11*13*79)^3 = A076467(53371) + A076467(174013) = 2065267858768192 + 2491340708286144 = 127348^3 + 135564^3 = (2^2*13*31*79) + (2^2*3*11*13*79)^3 = A076467(135415) + A076467(144002) A226950(13) = 13469350037585841 = 10773^4 = (3^4 * 7 * 19) ^ 4 = A051388(8)^4 = A226777(807) = A076467(250603) = 156285969989625 + 13313064067596216 = 53865^3 + 237006^3 = (3^4*5*7*19)^3 + (2*3^4*7*11*19)^3 = A076467(58206) + A076467(249644) = 4764020553183744 + 8705329484402097 = 168264^3 + 205713^3 = (2^3*3^3*19*41)^3 + (3^3*19*401)^3 = A076467(178124) + A076467(217116) A226950(14) = 23887131799781376 = 12432^4 = (2^4 * 3 * 7 * 37) ^ 4 = A226777(893) = A076467(302551) = 6218016399360000 + 17669115400421376 = 8880^4 + 1776^5 = (2^4*3*5*37)^4 + (2^4*3*37)^5 = A076467(194401) + A076467(273990) = 6926801387290624 + 16960330412490752 = 190624^3 + 256928^3 = (2^5*7*23*37)^3 + (2^6*3*7*13*19)^3 = A076467(201415) + A076467(270326) A226950(15) = 36604958689202176 = 13832^4 = (2^3 * 7 * 13 * 19) ^ 4 = A051388(9)^4 = A226777(958) = A076467(348168) = 21171173330944 + 36583787515871232 = 27664^3 + 331968^3 = (2^4*7*13*19)^3 + (2^6*3*7*13*19)^3 = A076467(30360) + A076467(348101) = 15433785358258176 + 21171173330944000 = 248976^3 + 276640^3 = (2^4*3^2*7*13*19)^3 + (2^5*5*7*13*19)^3 = A076467(262071) + A076467(290777) A226950(16) = 58634065908167841 = 15561^4 = (3^2 * 7 * 13 * 19) ^ 4 = A051388(10)^4 = A226777(1027) = A076467(406577) = 18512252799102153 + 40121813109065688 = 264537^3 + 342342^3 = (3^2*7*13*17*19)^3 + (2*3^2*7*11*13*19)^3 = A076467(278222) + A076467(358839) = 23610509457935841 + 35023556450232000 = 286881^3 + 327180^3 = (3*7*19*719)^3 + (2^2*3*5*7*19*41)^3 = A076467(301394) + A076467(343145) A226950(17) = 69952404620958561 = 16263^4 = (3^2 * 13 * 139) ^ 4 = A051388(11)^4 = A226777(1063) = A076467(430907) = 19913529182625 + 69932491091775936 = 27105^3 + 411996^3 = (3*5*13*139)^3 + (2^2*3*13*19*139)^3 = A076467(29761) + A076467(430866) = 17618216154918912 + 52334188466039649 = 260208^3 + 374049^3 = (2^4*3^2*13*139)^3 + (3^2*13*23*139)^3 = A076467(273730) + A076467(391642) A226950(18) = 91953699475456000 = 451360^3 = (2^5 * 5 * 7 * 13 * 31) ^ 3 = A226777(1110) = A076467(471525) = 1130063671296000 + 90823635804160000 = 104160^3 + 17360^4 = (2^5*3*5*7*31)^3 + (2^4*5*7*31)^4 = A076467(111137) + A076467(469607) = 24429390276096000 + 67524309199360000 = 290160^3 + 16120^4 = (2^4*3^2*5*13*31)^3 + (2^3*5*13*31)^4 = A076467(304792) + A076467(425923) A226950(19) = 124976001535967232 = 499968^3 = (2^8 * 3^2 * 7 * 31) ^ 3 = A226777(1272) = A076467(521690) = 23319137312833536 + 101656864223133696 = 285696^3 + 17856^4 = (2^10*3^2*31)^3 + (2^6*3^2*31)^4 = A076467(300165) + A076467(487370) = 37201361225383936 + 87774640310583296 = 13888^4 + 444416^3 = (2^6*7*31)^4 + (2^11*7*31)^3 = A076467(350024) + A076467(464355) A226950(20) = 149272763796688896 = 19656^4 = (2^3 * 3^3 * 7 * 13) ^ 4 = A051388(12)^4 = A226777(1201) = A076467(553149) = 2155086991429632 + 147117676805259264 = 129168^3 + 527904^3 = (2^4*3^3*13*23)^3 + (2^5*3^3*13*47)^3 = A076467(137317) + A076467(550503) = 44289721126490112 + 104983042670198784 = 353808^3 + 471744^3 = (2^4*3^5*7*13)^3 + (2^6*3^4*7*13)^3 = A076467(370705) + A076467(492568) A226950(21) = 183001280170947121 = 20683^4 = (13 * 37 * 43) ^ 4 = A051388(13)^4 = A226777(1249) = A076467(591570) = 8847907951987000 + 174153372218960121 = 206830^3 + 558441^3 = (2*5*13*37*43)^3 + (3^3*13*37*43)^3 = A076467(218277) + A076467(581983) = 60687800642678833 + 122313479528268288 = 392977^3 + 496392^3 = (13*19*37*43)^3 + (2^3*3*13*37*43)^3 = A076467(411211) + A076467(518002) A226950(22) = 225430653627891712 = 608608^3 = (2^5 * 7 * 11 * 13 * 19) ^ 3 = A226777(1288) = A076467(633672) = 2218158763831296 + 223212494864060416 = 130416^3 + 21736^4 = (2^4*3*11*13*19)^3 + (2^3*11*13*19)^4 = A076467(138620) + A076467(631609) = 30170561963773231 + 195260091664118481 = 311311^3 + 21021^4 = (7*11*13*311)^3 + (3*7^2*11*13)^4 = A076467(326711) + A076467(604352) -------------------------------------------------------------------------------- a226950.txt (Jun 26 2013)