# List of all pairs of integers (x,y) such that
# x + y is a cube, gcd(x,y) is cube-free, x >= y, |x| >= |y|, and the only primes dividing x and y lie in S,
# where S = {2, 3, 5, 7, 11}.
# It contains 883 pairs (x,y).
# Format: "(x,y)".
# Computing this list took 7931 seconds.
# Authors: Rafael von Känel and Benjamin Matschke, 2015.
# License: Creative commons 3.0 by-nc.
#
(1,-1)
(2,-2)
(2,-1)
(3,-3)
(3,-2)
(4,-4)
(4,-3)
(4,4)
(5,-5)
(5,-4)
(5,3)
(6,-6)
(6,-5)
(6,2)
(7,-7)
(7,-6)
(7,1)
(8,-7)
(9,-9)
(9,-8)
(9,-1)
(10,-10)
(10,-9)
(10,-2)
(11,-11)
(11,-10)
(11,-3)
(12,-12)
(12,-11)
(12,-4)
(14,-14)
(14,-6)
(15,-15)
(15,-14)
(15,-7)
(15,12)
(16,-15)
(16,11)
(18,-18)
(18,-10)
(18,9)
(20,-20)
(20,-12)
(20,7)
(21,-21)
(21,-20)
(21,6)
(22,-22)
(22,-21)
(22,-14)
(22,5)
(24,3)
(25,-25)
(25,-24)
(25,2)
(28,-28)
(28,-27)
(28,-20)
(28,-1)
(30,-30)
(30,-22)
(30,-3)
(32,-5)
(33,-33)
(33,-32)
(33,-25)
(33,-6)
(35,-35)
(35,-27)
(35,-8)
(36,-36)
(36,-35)
(36,-28)
(36,-9)
(36,28)
(42,-42)
(42,-15)
(42,22)
(44,-44)
(44,-36)
(44,20)
(45,-45)
(45,-44)
(45,-18)
(48,-21)
(49,-49)
(49,-48)
(49,-22)
(49,15)
(50,-50)
(50,-49)
(50,-42)
(50,14)
(54,10)
(55,-55)
(55,-54)
(55,-28)
(55,9)
(56,-55)
(60,-60)
(60,-33)
(60,4)
(63,-63)
(63,-55)
(63,-36)
(63,1)
(64,-63)
(66,-66)
(66,-2)
(70,-70)
(70,-6)
(70,55)
(72,-45)
(75,-75)
(75,-48)
(75,-11)
(75,50)
(77,-77)
(77,-50)
(77,48)
(80,45)
(81,-80)
(81,44)
(84,-84)
(84,-20)
(90,-90)
(90,-63)
(90,35)
(98,-98)
(98,-90)
(98,27)
(99,-99)
(99,-98)
(99,-72)
(99,-35)
(100,-100)
(100,-99)
(100,-36)
(100,25)
(105,-105)
(105,20)
(108,-100)
(108,-44)
(110,-110)
(110,15)
(120,5)
(121,-121)
(121,-120)
(121,4)
(125,-98)
(126,-126)
(126,-125)
(126,-99)
(126,-1)
(126,90)
(128,-3)
(132,-132)
(132,-105)
(132,-7)
(132,84)
(135,-10)
(140,-140)
(140,-132)
(140,-15)
(147,-147)
(147,-120)
(147,-22)
(150,-150)
(150,-25)
(150,66)
(154,-154)
(154,-90)
(160,-35)
(162,-154)
(162,-98)
(165,-165)
(165,-40)
(175,-175)
(175,-50)
(175,168)
(176,-175)
(180,-180)
(180,-55)
(180,36)
(189,-125)
(189,-64)
(189,154)
(192,-165)
(196,-196)
(196,-132)
(196,20)
(196,147)
(198,-198)
(198,18)
(200,-75)
(210,-210)
(210,6)
(220,-220)
(220,-4)
(224,-99)
(225,-225)
(225,-224)
(225,-198)
(225,-100)
(225,-9)
(231,-231)
(231,-15)
(231,112)
(242,-242)
(243,-242)
(243,100)
(245,-245)
(245,-120)
(245,98)
(250,-242)
(252,-252)
(252,-225)
(252,-36)
(270,242)
(275,-275)
(275,-150)
(280,63)
(288,55)
(294,-294)
(294,49)
(300,-300)
(300,-175)
(300,-84)
(308,-308)
(308,-300)
(308,35)
(315,-315)
(315,-288)
(315,-99)
(315,28)
(330,-330)
(336,7)
(350,-350)
(350,-225)
(350,-7)
(350,162)
(352,-9)
(363,-363)
(363,-336)
(363,-147)
(363,-20)
(375,-32)
(378,-35)
(385,-385)
(385,-384)
(385,-42)
(392,-49)
(396,-396)
(396,-180)
(400,-275)
(405,-280)
(420,-420)
(420,-77)
(440,-315)
(441,-441)
(441,-440)
(441,-225)
(441,-98)
(441,288)
(448,-105)
(450,-450)
(462,-462)
(462,50)
(484,-484)
(484,-420)
(484,28)
(484,245)
(490,-490)
(490,-147)
(490,22)
(495,-495)
(500,12)
(504,225)
(525,-525)
(525,-400)
(539,-539)
(539,-512)
(539,-196)
(539,-27)
(540,-539)
(540,-28)
(550,-550)
(550,-486)
(550,450)
(567,-224)
(567,-55)
(588,-588)
(588,-245)
(605,-605)
(605,-480)
(630,-630)
(630,99)
(640,-297)
(660,-660)
(675,-550)
(693,-693)
(693,-350)
(693,36)
(700,-700)
(700,-484)
(700,300)
(704,25)
(720,-693)
(720,9)
(726,-726)
(726,3)
(726,605)
(735,-735)
(735,-392)
(735,-6)
(750,-686)
(750,-21)
(770,-770)
(784,-441)
(784,-55)
(792,-63)
(792,539)
(800,-675)
(825,-825)
(825,-700)
(825,-96)
(825,175)
(847,-847)
(847,-504)
(847,484)
(875,-363)
(882,-882)
(882,-539)
(891,440)
(900,-900)
(900,100)
(924,-924)
(945,55)
(960,-231)
(968,-625)
(968,363)
(972,-847)
(972,28)
(980,-980)
(980,-972)
(980,20)
(990,-990)
(990,10)
(1029,-300)
(1050,-1050)
(1050,-50)
(1056,-1029)
(1056,275)
(1078,-1078)
(1078,-735)
(1089,-1089)
(1089,-360)
(1089,242)
(1100,-1100)
(1100,-588)
(1100,-100)
(1100,231)
(1125,-396)
(1152,-1125)
(1155,-1155)
(1155,176)
(1210,-1210)
(1210,-210)
(1210,121)
(1225,-1225)
(1225,-1100)
(1225,-882)
(1225,-225)
(1225,972)
(1232,99)
(1250,81)
(1260,-1260)
(1280,-1155)
(1296,35)
(1320,11)
(1323,-980)
(1323,8)
(1331,-1323)
(1350,-1225)
(1350,-350)
(1350,847)
(1372,825)
(1375,-44)
(1386,-1386)
(1386,-55)
(1408,-77)
(1452,-1452)
(1452,-121)
(1470,-1470)
(1485,-154)
(1540,-1540)
(1540,-540)
(1568,-1225)
(1575,-1575)
(1575,-1232)
(1617,-1617)
(1650,-1650)
(1694,-1694)
(1694,-363)
(1694,1050)
(1715,-384)
(1750,-22)
(1764,-1764)
(1764,-36)
(1764,980)
(1792,405)
(1800,1575)
(1815,-1815)
(1815,-484)
(1875,-1848)
(1875,-147)
(1925,-1925)
(1925,-1800)
(1925,-594)
(1936,-605)
(1960,-1617)
(1980,-1980)
(1980,-1764)
(1980,-980)
(1980,-252)
(2058,-330)
(2100,-2100)
(2100,-1100)
(2156,-2156)
(2156,-825)
(2156,588)
(2178,-2178)
(2178,-847)
(2178,-450)
(2187,10)
(2200,-3)
(2205,-2205)
(2205,-2178)
(2205,-8)
(2205,539)
(2268,-1925)
(2304,-1575)
(2310,-2310)
(2401,-2400)
(2420,-2420)
(2420,-1089)
(2420,324)
(2450,-2450)
(2450,294)
(2475,-2475)
(2475,900)
(2541,-2541)
(2541,-1210)
(2560,-363)
(2640,735)
(2646,98)
(2673,2240)
(2695,-2695)
(2695,-2352)
(2695,49)
(2700,44)
(2750,-6)
(2772,-2772)
(2772,-28)
(2816,-1485)
(2880,495)
(2940,-2940)
(2940,-196)
(3025,-3025)
(3025,-3024)
(3025,-2025)
(3025,-1694)
(3025,350)
(3072,-875)
(3087,288)
(3150,-3150)
(3150,-3025)
(3150,225)
(3200,175)
(3234,-3234)
(3234,-490)
(3267,-1936)
(3300,-3300)
(3300,75)
(3360,15)
(3388,-3388)
(3430,-2430)
(3430,-55)
(3465,-3465)
(3465,-90)
(3500,-756)
(3520,-1323)
(3528,-1331)
(3564,-3500)
(3600,-225)
(3630,-3630)
(3645,-3520)
(3675,-3675)
(3675,-300)
(3850,-3850)
(3872,-2541)
(3969,-1225)
(4116,-20)
(4200,-825)
(4235,-4235)
(4235,-2904)
(4312,-3969)
(4356,-4356)
(4356,-3025)
(4374,539)
(4375,-4374)
(4375,-4032)
(4375,-2178)
(4410,-4410)
(4500,-2772)
(4620,-4620)
(4851,-4851)
(4851,-3520)
(4851,4410)
(4900,-4900)
(4900,-2156)
(4928,-15)
(4950,-4950)
(4950,-1575)
(4950,882)
(5082,-5082)
(5082,750)
(5346,-1250)
(5390,-5390)
(5390,-2646)
(5445,-5445)
(5760,-847)
(5775,-5775)
(5775,-2400)
(5929,-5929)
(6050,-6050)
(6075,784)
(6075,1925)
(6125,3136)
(6174,-5445)
(6272,-5929)
(6300,-6300)
(6400,-3025)
(6468,-6468)
(6468,-6125)
(6615,-6272)
(6720,2541)
(6776,-5445)
(6804,55)
(6860,-1)
(6875,-5544)
(6875,-16)
(6875,3773)
(6875,5292)
(6930,-6930)
(7056,2205)
(7260,-7260)
(7260,-5929)
(7260,3388)
(7350,-7350)
(7623,-7623)
(7623,3025)
(7700,-7700)
(7700,300)
(7875,1386)
(7938,-3025)
(7986,14)
(8000,-3087)
(8085,-8085)
(8085,1176)
(8100,-100)
(8470,-8470)
(8470,-4374)
(8470,2178)
(8820,-8820)
(8820,-5445)
(8820,441)
(9072,-6875)
(9075,-9075)
(9075,-7744)
(9216,45)
(9240,21)
(9317,-56)
(9408,-147)
(9702,-9702)
(9702,-441)
(9800,-539)
(9801,-9800)
(9801,-8470)
(9801,847)
(9900,-9900)
(10164,-10164)
(10164,484)
(10692,-44)
(10780,-10780)
(10780,-132)
(10890,-10890)
(10890,-242)
(10935,-9604)
(10935,1232)
(11025,-11025)
(11025,-3025)
(11025,-1764)
(11550,-11550)
(11858,-11858)
(11858,-1210)
(11979,-11250)
(11979,-5120)
(12005,-11880)
(12005,162)
(12100,-12100)
(12100,-1452)
(12250,-11907)
(12250,9702)
(12288,-121)
(12375,-12348)
(12600,3025)
(12705,-12705)
(12936,-3675)
(13068,-2420)
(13125,11264)
(13475,-13475)
(13860,-13860)
(13860,-36)
(14112,-4851)
(14400,-11025)
(14400,1225)
(14700,-14700)
(15092,-14580)
(15246,-15246)
(15400,225)
(15680,-55)
(16038,-5390)
(16170,-16170)
(16940,-16940)
(17325,-17325)
(17325,-8064)
(17787,-17787)
(18150,-18150)
(18150,-17150)
(18150,17787)
(18865,-3240)
(19404,-19404)
(20412,1540)
(21175,-21175)
(21780,-21780)
(21875,77)
(22050,-22050)
(22050,-98)
(22050,4950)
(22400,-22275)
(23100,-23100)
(23232,12705)
(23716,-23716)
(23716,-13068)
(23716,-1764)
(23716,6075)
(24200,-22869)
(24200,-8575)
(24200,189)
(24255,-24255)
(25088,17787)
(25410,-25410)
(25725,-25600)
(26460,-23716)
(26950,-26950)
(26950,50)
(27225,-27225)
(27225,-225)
(27225,8712)
(27951,-24576)
(28125,22528)
(29400,13475)
(29645,-29645)
(29645,13230)
(29700,9604)
(30250,-19602)
(30492,-30492)
(30492,5445)
(30976,-29645)
(32340,-32340)
(32670,98)
(33075,9800)
(33275,9600)
(33614,-16038)
(33957,-28125)
(33957,1980)
(34300,29700)
(34650,-34650)
(34848,1089)
(35574,-35574)
(35574,363)
(36000,-63)
(36300,-36300)
(36300,-363)
(37268,-4500)
(38115,-38115)
(38115,-18432)
(38115,-2178)
(39200,3675)
(39204,100)
(40425,-40425)
(40425,2450)
(42336,539)
(42350,-42350)
(42350,525)
(42525,350)
(43120,-245)
(43560,-7623)
(43659,-784)
(44100,-44100)
(44100,-1225)
(44800,-1925)
(47628,3025)
(47916,-1260)
(48000,11319)
(48510,-48510)
(50625,28)
(50688,-35)
(50820,-50820)
(52822,-50625)
(53361,-53361)
(53361,-44100)
(53361,-17424)
(53900,-53900)
(53900,-11025)
(53900,972)
(54450,-54450)
(59290,-59290)
(59895,-576)
(61740,-47916)
(62720,-19845)
(63525,-63525)
(66825,-51200)
(69300,-69300)
(71148,-71148)
(71148,-60500)
(71148,2940)
(73205,17920)
(73205,30618)
(73500,588)
(76230,-76230)
(77440,-41503)
(80850,-80850)
(81312,-45375)
(83006,-81675)
(83006,2178)
(84700,-84700)
(84700,484)
(84700,81675)
(86625,-50688)
(88209,-3025)
(88935,-88935)
(88935,77440)
(91875,-17787)
(94325,-3200)
(97020,-97020)
(105875,-104544)
(106722,-106722)
(108900,-108900)
(108900,-23716)
(114688,-114345)
(116424,1225)
(117600,49)
(118580,-118580)
(120050,4950)
(121275,-121275)
(121275,-78400)
(122500,-4851)
(127050,-127050)
(127575,-84700)
(131769,882)
(133100,-8100)
(145200,21175)
(147015,19360)
(148225,-148225)
(148225,18150)
(152460,-152460)
(157500,-36)
(161700,-161700)
(163350,3025)
(166012,363)
(166320,55)
(169400,-3025)
(174636,980)
(177870,-177870)
(184877,-36000)
(188650,-22275)
(190575,-190575)
(190575,-24200)
(193600,-27225)
(193600,107163)
(196000,-195657)
(196020,-29645)
(197568,-12375)
(204974,405)
(213444,-213444)
(216090,-90)
(225280,1701)
(225792,24255)
(242550,-242550)
(254100,-254100)
(266805,-266805)
(266805,189728)
(272250,15246)
(274400,225)
(275968,-275625)
(290521,-3025)
(296450,-296450)
(296450,160083)
(316932,-2500)
(328125,384)
(343035,-35)
(355740,-355740)
(378125,78408)
(379456,-378125)
(381150,-381150)
(388962,55)
(396900,-53900)
(401408,55125)
(422400,-525)
(426888,29645)
(433664,22869)
(441045,15488)
(444675,-444675)
(444675,11858)
(457380,-847)
(474320,-17787)
(480249,-23716)
(485100,-485100)
(523908,-67375)
(533610,-533610)
(585640,-583443)
(592900,-592900)
(592900,-196)
(614400,-275)
(680625,847)
(720896,-588245)
(741125,-284592)
(743424,226875)
(762300,-762300)
(790272,-131769)
(889350,-889350)
(893025,-717409)
(907500,-871563)
(952875,17424)
(970200,99)
(975744,-5445)
(1037575,-871200)
(1067220,-1067220)
(1071630,-130438)
(1240029,55000)
(1312200,-1037575)
(1334025,-1334025)
(1334025,-176400)
(1334025,-3025)
(1433600,251559)
(1630475,-1587600)
(1684375,784)
(1715175,-1548800)
(1778700,-1778700)
(1897280,-1440747)
(2160900,299475)
(2205225,-433664)
(2371600,-2205225)
(2668050,-2668050)
(2927232,-3025)
(3705625,-53361)
(4026275,-302400)
(4174016,-735)
(4505600,-13475)
(4593750,1434818)
(5336100,-5336100)
(5358150,1225)
(5671875,867328)
(8421875,-56448)
(13043800,-4428675)
(13660416,-1334025)
(28901376,-1630475)
(29469825,27596800)
(39649280,2541)
(56918400,148225)
(378125000,-272301183)