## ETC Midpoints.

#### Last update: 2012/02/07.

##### 4965 points sampled.
The appearance of {j, k} after a triangle centre X(n) means that X(n) is the Midpoint of X(j) and X(k).

Centre  Midpoints
X(1){2,3241},{3,1482},{4,944},{5,1483},{6,3242},{7,390},{8,145},{9,3243},{10,3244},{11,1317},{20,962},{55,2099},{56,2098},{65,3057},{72,3555},{100,1320},{221,1854},{388,3486},{497,3476},{644,1280},{663,4449},{1056,3488},{1113,2102},{1114,2103},{1120,3699},{1125,3635},{1279,4864},{1358,3021},{1359,3318},{1361,1364},{1362,3022},{1469,3056},{1697,3340},{2136,3680},{2254,4895},{2263,4319},{2292,2650},{2446,2447},{3023,3027},{3024,3028},{3100,4318},{3237,3238},{3319,3326},{3322,3328},{3616,3623},{3632,3633},{3640,3641},{3655,3656},{3669,4162},{3671,4314},{3672,4344},{3868,3869},{3870,3872},{3873,3877},{3874,3878},{3875,3886},{3879,3883},{3881,3884},{3889,3890},{3892,3898},{3894,3899},{3896,3902},{4010,4922},{4294,4295},{4297,4301},{4315,4342},{4349,4356},{4367,4879},{4378,4775},{4419,4644}
X(2){1,3679},{3,381},{4,376},{5,549},{6,599},{8,3241},{10,551},{20,3543},{37,4688},{51,3917},{69,1992},{75,4664},{99,671},{115,2482},{140,547},{141,597},{154,1853},{165,1699},{190,903},{192,4740},{210,354},{329,2094},{355,3655},{392,3753},{591,1991},{648,1494},{664,1121},{668,3227},{670,3228},{1086,4370},{1125,3828},{1635,4728},{1638,1639},{1641,1648},{1644,1647},{1650,1651},{2454,2455},{2479,2480},{2979,3060},{3524,3545},{3534,3830},{3654,3656},{3681,3873},{3739,4755},{3740,3742},{3929,4654},{4120,4750},{4364,4499},{4379,4893},{4430,4661},{4643,4795},{4763,4928}
X(3){1,40},{2,376},{4,20},{5,550},{6,1350},{8,944},{10,4297},{21,3651},{22,378},{36,2077},{55,3428},{58,3430},{64,1498},{72,1071},{74,110},{84,1490},{98,99},{100,104},{101,103},{102,109},{105,1292},{106,1293},{107,1294},{108,1295},{111,1296},{112,1297},{122,3184},{140,548},{165,3576},{182,3098},{186,2071},{329,2096},{381,3534},{382,1657},{476,477},{573,991},{631,3522},{691,842},{805,2698},{840,2742},{843,2709},{901,953},{917,1305},{925,1300},{927,2724},{929,2723},{930,1141},{934,972},{935,2697},{990,1766},{1092,1204},{1113,1114},{1160,1161},{1290,2687},{1298,1303},{1304,2693},{1308,2717},{1309,2734},{1379,1380},{1381,1382},{1385,3579},{1670,1671},{2043,2044},{2130,3348},{2131,3355},{2222,2716},{2554,2555},{2556,2557},{2688,2690},{2689,2695},{2691,2752},{2692,2758},{2694,2766},{2696,2770},{2699,2703},{2700,2702},{2701,2708},{2704,2711},{2705,2712},{2706,2713},{2707,2714},{2710,2715},{2718,2743},{2719,2744},{2720,2745},{2721,2746},{2722,2747},{2725,2736},{2726,2737},{2727,2738},{2728,2739},{2729,2740},{2730,2751},{2731,2757},{2732,2762},{2733,2765},{2735,2768},{3146,3529},{3182,3345},{3183,3346},{3347,3353},{3354,3472},{3523,3528},{3563,3565},{3654,3655},{4220,4221},{4549,4846}
X(4){2,3543},{3,382},{5,3627},{8,962},{20,3146},{146,3448},{147,148},{149,153},{150,152},{381,3830},{546,3853},{1750,3586},{1829,1902},{1885,3575},{3062,4312}
X(5){1,355},{2,381},{3,4},{6,1352},{8,1482},{10,946},{11,119},{20,382},{68,155},{69,1351},{76,3095},{79,3652},{110,265},{113,125},{114,115},{116,118},{117,124},{122,133},{127,132},{128,137},{129,130},{131,136},{140,546},{182,3818},{195,2888},{316,2080},{329,2095},{339,2967},{376,3830},{399,3448},{403,2072},{548,3853},{549,3845},{550,3627},{631,3843},{632,3858},{1209,3574},{1312,1313},{1368,1596},{1656,3091},{1657,3146},{2039,2040},{2070,3153},{2971,2974},{3090,3851},{3526,3832},{3530,3861},{3534,3543},{3628,3850},{3656,3679}
X(6){1,3751},{2,1992},{3,1351},{5,1353},{69,193},{110,895},{141,3629},{182,576},{287,648},{651,1814},{1113,2104},{1114,2105},{1316,2452},{1332,2991},{1386,4663},{1570,1692},{1666,1667},{1689,1690},{2451,3049},{2987,4558},{3056,3779},{3729,3875}
X(7){1,4312}
X(8){1,3632},{10,3625},{145,3621},{3057,3893},{3626,4701},{3679,4677},{4474,4814},{4668,4816}
X(9){7,144},{8,390},{100,1156},{190,673},{2294,3958},{2951,3062}
X(10){1,8},{2,3679},{3,355},{4,40},{6,3416},{9,2550},{11,1145},{31,4680},{32,4769},{37,3696},{38,4692},{46,3436},{55,3419},{57,3421},{63,1478},{65,72},{69,3751},{75,984},{80,100},{144,4312},{145,3632},{150,1282},{153,1768},{191,2475},{210,3753},{244,4738},{291,668},{319,4649},{321,4424},{329,2093},{381,3654},{551,4669},{594,4026},{656,4086},{661,4761},{676,4528},{756,4714},{938,4882},{982,4737},{986,4385},{1046,1330},{1089,4642},{1109,4736},{1111,4712},{1125,3626},{1213,4733},{1577,4041},{1698,3617},{1706,2551},{1734,4391},{1738,3717},{1739,4723},{1757,4645},{1769,4768},{1834,3704},{2254,3762},{2292,4647},{2321,3755},{2533,4705},{2948,3448},{3035,3036},{3040,3042},{3122,4783},{3241,4677},{3244,3625},{3616,4668},{3621,3633},{3623,4816},{3624,4678},{3634,4691},{3635,4701},{3636,4746},{3670,4696},{3678,3754},{3697,3698},{3701,3987},{3714,4646},{3742,4711},{3773,4085},{3778,4710},{3801,4808},{3812,4662},{3828,4745},{3842,4732},{3894,4661},{3918,4015},{3919,4134},{3921,4731},{3922,4533},{3923,4660},{3952,4674},{3956,3968},{3962,4018},{3983,4002},{3992,4695},{3993,4709},{4000,4901},{4004,4005},{4008,4073},{4010,4730},{4017,4404},{4067,4084},{4088,4707},{4127,4757},{4129,4807},{4133,4780},{4170,4729},{4363,4643},{4364,4665},{4376,4805},{4377,4735},{4419,4659},{4462,4905},{4487,4694},{4525,4744},{4527,4743},{4670,4690}
X(11){1,80},{4,104},{5,1484},{7,1156},{8,1320},{9,3254},{36,3583},{79,3065},{100,149},{1109,2611}
X(12){35,3585}
X(13){148,617},{621,3180}
X(14){148,616},{622,3181}
X(15){616,3180}
X(16){617,3181}
X(20){3,1657},{4,3529}
X(21){1,191}
X(31){3744,4641}
X(32){371,372}
X(35){2975,3871},{3585,4324}
X(36){1,484},{1155,1319},{1290,1325},{3218,4511},{3583,4316},{4867,4880}
X(37){1,984},{2,4664},{10,3993},{75,192},{190,335},{665,4526},{1278,3644},{2643,4094},{2667,3728},{3739,4681},{3879,4416},{4686,4718},{4687,4704},{4764,4788}
X(39){3,3095},{6,3094},{76,194},{99,1916},{115,1569},{2026,2027},{2028,2029},{3102,3103},{3104,3105},{3106,3107}
X(40){8,20},{2100,2101},{2448,2449}
X(42){321,3896}
X(43){3752,4849}
X(44){190,239},{238,1757},{1266,4480},{2325,4700},{3218,3257},{4432,4753}
X(45){3707,4029}
X(49){3043,3047}
X(51){2,3060},{381,568}
X(54){3,195}
X(55){63,3870},{1478,4302},{3872,3895}
X(56){1,46},{1210,4311},{1479,4299}
X(57){1,2093},{2,2094},{3,2095},{4,2096},{6,2097},{497,3474}
X(58){1,1046}
X(65){8,3868},{10,4084},{72,4018},{3754,4757},{3919,4744}
X(66){2892,3448}
X(67){69,3448}
X(69){141,3630}
X(72){8,3869},{10,4067},{65,3962},{3621,3885},{3678,4127},{3877,4661},{3988,4536},{4134,4525}
X(74){20,3448}
X(75){2,4740},{37,4686},{192,1278},{3644,4764},{3739,4726},{4699,4821}
X(80){8,149}
X(98){20,148}
X(99){20,147},{616,617}
X(100){20,153},{1155,3689},{1490,2950},{3218,3935},{3245,4867}
X(101){1,1282},{20,152},{664,3732}
X(103){20,150}
X(104){1,1768},{20,149}
X(106){1,1054}
X(109){20,151}
X(110){1,2948},{3,399},{6,2930},{20,146},{23,323},{155,2931},{1495,3292},{1498,2935}
X(113){4,110},{74,146},{265,399},{1495,1531},{1511,1539},{1553,3258}
X(114){4,99},{98,147},{325,1513}
X(115){2,671},{4,98},{13,14},{76,1916},{99,148},{316,385},{2009,2010}
X(116){4,103},{101,150},{1146,1565}
X(117){4,109},{102,151}
X(118){4,101},{103,152},{910,1530},{2678,2685},{2681,2684}
X(119){4,100},{104,153},{908,1512},{1145,1537},{2680,2683}
X(120){4,1292}
X(121){4,1293}
X(122){4,1294}
X(123){4,1295}
X(124){4,102}
X(125){3,265},{4,74},{6,67},{66,1177},{69,895},{110,3448},{858,3580},{1205,1843}
X(126){4,1296}
X(127){4,1297}
X(128){4,930}
X(129){4,1303}
X(130){4,1298}
X(131){4,925}
X(132){4,112}
X(133){4,107}
X(135){4,1299}
X(136){4,1300}
X(137){4,1141},{5,1263}
X(140){2,549},{3,5},{4,550},{8,1483},{10,1385},{20,3627},{69,1353},{100,1484},{125,1511},{141,182},{376,3845},{389,1216},{546,548},{631,632},{930,1263},{946,3579},{2883,3357},{3522,3858},{3528,3857},{3530,3628}
X(141){1,3416},{2,599},{3,1352},{4,1350},{6,69},{8,3242},{66,159},{67,110},{76,3094},{329,2097},{670,694},{1086,4437},{1843,3313},{2321,3663},{2930,3448},{3098,3818},{3589,3631},{3620,3763},{3629,3630},{3642,3643},{3923,4655}
X(142){1,2550},{7,9},{8,3243},{100,3254},{4361,4851}
X(143){5,52},{185,3627},{1353,1843}
X(145){1,3633},{3868,3885}
X(156){26,155}
X(159){1350,1498}
X(165){40,3576},{3158,3928}
X(182){3,6},{52,3313},{576,3098},{1350,1351},{1662,1663},{1664,1665},{1691,2456}
X(184){22,1993}
X(186){3,2070},{23,2071}
X(187){3,2080},{15,16},{23,691},{99,385},{352,843},{1691,2076},{2459,2460}
X(190){3912,4480}
X(191){442,3650},{2475,3648}
X(192){37,4718},{75,3644},{1278,4788}
X(206){6,159},{110,1177}
X(210){2,3681},{8,3877},{10,4134},{72,3753},{960,4711},{3678,3956},{3873,4661},{3919,4525},{3921,4539},{3968,4532},{3971,4685},{4067,4744}
X(214){1,100},{36,4511},{1145,1317},{3218,4867}
X(216){264,3164},{648,1972}
X(226){1,1478},{55,1836},{3434,3870}
X(229){1,267}
X(230){98,1513},{115,187},{297,2966},{325,385},{395,396}
X(232){3269,3331}
X(235){4,24}
X(238){1,1757},{44,1279},{239,3685},{4693,4716}
X(239){238,4716}
X(241){2183,3942},{2310,3000}
X(244){1,4674},{1739,4694}
X(262){1699,3097}
X(265){4,3448}
X(297){340,648}
X(298){616,621}
X(299){617,622}
X(312){3840,4135}
X(315){637,638}
X(316){621,622}
X(321){42,4365}
X(325){99,316},{298,299}
X(335){192,4440}
X(351){1635,1962}
X(354){2,3873},{3681,4430},{3833,3881}
X(355){4,8},{3625,4301}
X(375){51,210}
X(376){2,20},{3,3534},{1657,3830}
X(381){2,4},{3,3830},{5,3845},{355,3656},{376,3543},{382,3534},{3545,3839},{3850,3860},{4301,4669}
X(382){4,3146},{2041,2042}
X(385){3180,3181}
X(389){3,52},{4,185},{125,1986},{974,1112}
X(390){144,145}
X(392){2,3877},{3241,3681}
X(395){14,16},{298,385},{299,3181}
X(396){13,15},{298,3180},{299,385}
X(402){2,1651},{1650,4240}
X(403){4,186},{23,3153}
X(427){4,378}
X(440){27,3151}
X(441){297,401},{325,2966}
X(442){4,3651},{21,2475},{79,191}
X(468){23,858},{110,3580},{125,1495},{186,403},{2070,2072}
X(474){2478,4190}
X(484){36,3245}
X(485){487,2996}
X(486){488,2996}
X(495){55,1478},{3419,3870}
X(496){1,1837},{56,1479},{149,2932}
X(497){1,3586}
X(546){3,3627},{4,5},{125,1539},{140,3853},{381,3845},{382,550},{549,3830},{3843,3858},{3850,3861}
X(547){2,5},{3,3845},{381,549},{550,3830},{3530,3860},{3534,3627}
X(548){3,550},{5,20},{549,3534},{1657,3627},{3579,4297}
X(549){1,3654},{2,3},{4,3534},{20,3830},{40,3656},{376,381},{550,3845},{568,2979},{3655,3679}
X(550){3,20},{4,1657},{376,3534},{382,3529}
X(551){1,2},{3,3656},{145,4677},{354,392},{381,3655},{1482,3654},{3241,3679},{3244,4669},{3635,4745}
X(575){3,576},{6,182},{141,1353},{1351,3098},{1385,4663}
X(576){6,1351},{193,1352}
X(578){1181,1593}
X(594){319,894},{4357,4431}
X(597){2,6},{599,1992}
X(599){2,69}
X(618){13,616},{14,99},{15,298}
X(619){13,99},{14,617},{16,299}
X(620){2,2482},{3,114},{76,1569},{99,115},{187,325},{618,619}
X(623){13,298},{15,621},{16,316}
X(624){14,299},{15,316},{16,622}
X(625){115,325},{187,316},{623,624}
X(626){1,4769},{32,315},{639,640},{4136,4920},{4381,4837}
X(629){17,627}
X(630){18,628}
X(631){3,1656},{548,3859},{3091,3522}
X(632){3,3091},{631,1656},{3522,3843}
X(635){61,633}
X(636){62,634}
X(639){315,372},{371,637}
X(640){315,371},{372,638}
X(641){485,488}
X(642){486,487}
X(647){669,3005},{3267,4580},{3288,3569}
X(649){650,4790},{659,4784},{667,4834},{693,4380},{1019,4063}
X(650){649,661},{659,1491},{663,4041},{667,4705},{1635,4893},{1734,4040},{1960,4770},{2254,4724},{2488,4524},{3239,4765},{3251,4825},{3716,4913},{4025,4468},{4367,4490},{4391,4560},{4730,4775},{4814,4895}
X(656){4017,4041}
X(657){4130,4827}
X(659){649,4724},{663,4498},{3716,4830},{4040,4063}
X(661){649,4813},{3700,4841},{4010,4824},{4041,4822}
X(663){1,4040},{650,4162},{659,4879},{667,4775},{4041,4895},{4449,4724},{4814,4959}
X(665){649,3250},{659,876}
X(667){1,4063},{649,663},{659,4367},{905,3803},{1019,4040},{3733,4057},{4449,4498},{4729,4895},{4775,4834}
X(669){647,3804}
X(671){2,148}
X(673){144,4440}
X(676){3716,4458}
X(692){59,1618},{651,1633}
X(693){649,4382},{2254,4804},{3776,4500},{4391,4801},{4784,4810}
X(756){3995,4651}
X(798){3709,4832}
X(858){316,691},{323,3448},{2071,3153}
X(859){851,855}
X(895){193,3448}
X(896){3712,4831}
X(899){4009,4706}
X(902){896,3722}
X(903){2,4440}
X(905){1,1734},{650,3669},{656,1459},{659,3777},{663,2254},{667,2530},{693,4560},{1491,4367},{4040,4905},{4041,4449},{4378,4705}
X(908){80,4867},{149,3935},{320,3257}
X(910){3509,3684}
X(936){1,4882}
X(942){1,65},{4,1071},{8,3555},{10,3874},{72,3868},{210,3894},{222,1905},{950,4292},{1364,1845},{3633,3893},{3753,3873},{3754,3881},{3869,4018},{3878,4084},{3884,4757},{3889,4004},{3892,3919},{3898,4744},{3901,3962}
X(944){20,145}
X(946){1,4},{10,4301},{11,1537},{40,962},{355,1482},{381,3656},{1012,1836},{3655,3830}
X(956){63,3872}
X(958){8,3486},{1697,4853}
X(960){1,72},{8,3057},{10,3878},{65,3869},{210,3877},{390,3059},{3678,3884},{3688,3883},{3753,3899},{3868,3962},{3874,4067},{3881,4127},{3885,3893},{3890,4005},{3892,4525},{3898,4134}
X(962){145,3146}
X(966){3247,4034}
X(970){2037,2038}
X(973){52,1209}
X(974){74,1986},{125,185}
X(984){8,192},{2292,3728}
X(990){1,1721}
X(991){1,1742}
X(993){1,63},{55,956},{1012,3428},{3434,4302},{4304,4847}
X(995){1,43}
X(997){1,200},{329,4293},{999,3940},{3421,3476}
X(999){1,57},{497,4293}
X(1001){1,9},{390,2550}
X(1012){1,1709}
X(1015){1,291},{2,3227}
X(1019){3669,4790},{3733,4840},{4367,4784},{4378,4834},{4380,4801}
X(1054){1357,3030}
X(1071){20,3868}
X(1083){105,644}
X(1084){2,3228},{6,694}
X(1086){2,903},{7,673},{75,335},{190,4440},{239,320},{1266,3912},{3008,4887},{3271,4014}
X(1089){3702,4696}
X(1100){1,4649},{894,4360},{4431,4464}
X(1101){2612,2613}
X(1112){4,1986},{52,113}
X(1113){1,2100}
X(1114){1,2101}
X(1125){1,10},{2,551},{3,946},{4,4297},{5,1385},{8,3244},{11,214},{40,4301},{65,3878},{72,3874},{75,3993},{141,1386},{142,1001},{145,3625},{210,3892},{226,993},{596,3159},{942,960},{995,3840},{999,3452},{1086,4432},{1100,3775},{1279,3836},{1319,3814},{1387,3035},{1960,3837},{3241,4669},{3246,3834},{3576,3817},{3626,3635},{3634,3636},{3647,3649},{3663,3923},{3678,3881},{3716,3960},{3753,3898},{3754,3884},{3868,4067},{3869,4084},{3873,4134},{3875,4133},{3877,3919},{3886,4780},{3894,4525},{3899,4744},{4065,4647},{4129,4367},{4364,4670},{4643,4667},{4807,4879}
X(1145){8,100}
X(1146){2,1121},{92,1952},{150,3732}
X(1147){3,155}
X(1155){1,3245},{36,484},{80,4316},{100,3218}
X(1156){144,149},{1768,3062}
X(1158){40,84},{1768,2950}
X(1176){6,2916}
X(1193){1,3293}
X(1196){1613,3981}
X(1201){1,3216}
X(1209){54,2888},{195,3519}
X(1210){46,1479},{56,1837}
X(1211){81,2895},{4046,4854},{4418,4683}
X(1212){85,3177},{3208,4051}
X(1213){86,1654},{4111,4890}
X(1214){664,1952}
X(1215){1,4692},{42,321},{3896,4365}
X(1216){1352,3313}
X(1266){239,4440}
X(1278){75,4764}
X(1279){1,238},{44,4864}
X(1284){1,1756}
X(1312){4,1113},{8,2103},{69,2105}
X(1313){4,1114},{8,2102},{69,2104}
X(1316){6,2453}
X(1317){100,145}
X(1319){1,36}
X(1320){145,149}
X(1323){1155,3328},{3638,3639}
X(1326){1,2959}
X(1329){8,2098},{56,3436},{78,1837}
X(1350){20,69}
X(1351){4,193},{2104,2105}
X(1352){4,69}
X(1353){3,193}
X(1368){25,1370},{394,1899}
X(1375){2173,4466}
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X(4057){3733,4491}
X(4058){2345,4007}
X(4060){319,4431}
X(4062){896,4938}
X(4063){649,4498},{4380,4391}
X(4067){72,3962}
X(4070){2243,4144}
X(4075){10,3159}
X(4078){10,3950}
X(4079){798,4826},{3250,4502}
X(4084){8,3901},{65,4018}
X(4085){6,4660},{10,3755},{65,4523},{2321,4780},{3751,4655},{3773,4743}
X(4086){1577,4404},{4391,4397}
X(4090){3967,4849}
X(4096){210,3971},{3175,4685}
X(4098){391,4898}
X(4103){668,4568}
X(4104){4061,4656}
X(4106){661,4382},{1491,4810}
X(4111){8,3786}
X(4120){661,4931},{1635,4958}
X(4122){4024,4088}
X(4125){10,4135}
X(4127){10,3962},{72,4067}
X(4129){661,1577},{4010,4705},{4041,4170},{4761,4822}
X(4130){657,4171}
X(4134){1,4661},{8,3899},{10,4525},{72,210},{3678,4532},{3919,4067},{3968,4127}
X(4142){659,3801},{4040,4707}
X(4147){8,663},{1734,3762},{2254,4462},{2533,4490},{4041,4391},{4474,4560}
X(4157){2244,4156}
X(4162){145,4462},{663,4895},{4041,4959}
X(4163){3239,4546}
X(4164){3287,4367}
X(4170){4804,4822}
X(4221){1,2941}
X(4240){1651,3081}
X(4259){1469,3779}
X(4260){1,3779},{6,4259},{1469,3751}
X(4292){1,1770}
X(4293){3474,3476}
X(4297){1,20},{40,944},{390,2951},{3534,3655}
X(4298){1,4292}
X(4299){1,4333}
X(4301){1,962}
X(4304){1,4302}
X(4306){1,1044}
X(4310){1,4862}
X(4311){1,4299}
X(4314){1,4294},{390,4326},{1697,3486}
X(4315){1,4293},{57,3476}
X(4344){145,4461}
X(4349){1,4307}
X(4353){1,3663},{3242,3755},{3244,4660}
X(4357){319,4360}
X(4358){244,3994},{4723,4742}
X(4360){4357,4464}
X(4363){1,4659},{8,4644},{4419,4454}
X(4364){1,4643},{4363,4419}
X(4366){190,4360}
X(4367){1,1019},{649,4449},{667,4378},{2533,4922},{4369,4504},{4784,4879}
X(4369){1,4761},{649,693},{1019,1577},{2533,4367},{3700,4897},{3835,4932},{4010,4784},{4017,4581},{4024,4467},{4106,4790},{4380,4382},{4498,4801},{4750,4789},{4774,4922}
X(4370){2,190},{44,4908}
X(4374){3261,4406}
X(4379){4453,4789}
X(4389){4393,4741}
X(4391){663,4474},{693,4462},{1577,3762},{4397,4811}
X(4394){649,650},{661,4790},{905,4063},{1734,3803},{3669,4498},{4106,4380},{4162,4729},{4468,4897}
X(4395){44,1266},{239,1086},{4700,4887}
X(4397){4086,4768}
X(4399){4416,4686}
X(4401){1,4498},{649,4040},{650,3803},{659,667},{663,4063},{1019,4724},{4170,4380}
X(4408){3261,3766}
X(4411){75,693},{3261,4374},{3766,4406}
X(4413){3711,4860}
X(4421){165,3158}
X(4422){2,4370},{6,4437},{10,4432},{44,3912},{190,1086},{238,3932},{239,3943},{594,4366},{1279,3717},{2325,3008},{3271,4553},{4864,4899}
X(4423){3305,4666}
X(4425){81,4683},{1211,4854}
X(4432){1,190},{44,4702},{238,3685},{239,4693}
X(4435){3063,4501}
X(4437){69,190}
X(4439){8,4693},{984,3797}
X(4440){1086,4409}
X(4448){659,4800},{4379,4724}
X(4458){1,4707},{3801,4367},{4467,4804}
X(4468){4088,4724}
X(4470){3617,4747}
X(4472){1,4665},{2,4499},{10,4670},{4363,4364},{4667,4690}
X(4478){319,594}
X(4498){4380,4462}
X(4499){2,4363},{3679,4795},{4667,4669}
X(4500){693,4024}
X(4502){3768,4826}
X(4504){145,4729},{4367,4922}
X(4511){36,4867}
X(4515){3061,4050}
X(4521){650,3239},{663,4163},{3676,4468},{3700,4765},{4162,4546}
X(4522){693,4088},{1491,4122},{2517,4064},{3904,4474}
X(4523){4067,4780}
X(4525){3753,3962},{3899,4661},{4067,4134}
X(4526){192,3766}
X(4527){2321,4133}
X(4528){1639,4543},{3700,4814},{4163,4546}
X(4529){3287,4140}
X(4532){72,4134},{210,4525},{3753,4067},{3898,4661},{3956,4127},{3962,4744}
X(4533){72,4002}
X(4535){10,4527},{2321,3773},{4085,4133}
X(4536){72,4127},{3678,4067},{3754,3962}
X(4537){72,4005}
X(4538){3678,3773}
X(4539){72,3921}
X(4540){10,4015},{65,4536},{3634,4662},{3678,3918},{3754,3988}
X(4547){10,3988},{72,3918},{3678,4015},{3754,4536}
X(4549){1657,3426}
X(4550){4,4549}
X(4553){190,3888}
X(4557){2183,2340}
X(4640){40,1012},{55,63},{3419,4302}
X(4643){8,4419}
X(4644){145,4454}
X(4648){3731,4888},{4371,4916}
X(4653){1,846}
X(4657){2345,3672}
X(4659){8,4454}
X(4662){8,960},{210,4711},{3626,3678},{3884,4701}
X(4663){6,3751},{193,3416}
X(4664){2,192}
X(4665){8,4363},{3625,4667},{4643,4659},{4677,4795}
X(4667){1,4644},{145,4659}
X(4668){8,3617},{1698,4816}
X(4669){2,4677},{8,3679},{551,3625},{3241,3632},{3828,4701}
X(4670){1,4363},{2,4795},{10,4667},{4643,4644},{4708,4796},{4747,4798}
X(4672){6,3923}
X(4677){3241,3621},{3632,3679}
X(4681){37,192},{75,4718},{3644,4686}
X(4682){612,940}
X(4686){75,1278},{192,4764}
X(4687){192,4821},{4699,4704}
X(4688){2,75},{4664,4740}
X(4689){2177,4414}
X(4690){8,4643}
X(4691){1,4701},{8,1125},{10,3626},{3625,3635},{3634,4746},{3679,4745},{3828,4669},{3968,4711}
X(4697){81,4418}
X(4698){2,4755},{37,3739},{75,4681},{192,4726},{1125,3842}
X(4699){75,4687},{4704,4821}
X(4701){8,3625},{10,3632},{3244,3621},{3878,3893}
X(4702){1,4693}
X(4704){192,4699}
X(4705){661,4041},{1491,4490},{2533,4824},{4729,4822}
X(4708){1,4690},{10,4364},{4643,4670}
X(4709){4677,4740}
X(4711){8,210},{65,4661},{392,4677},{3625,3898}
X(4717){1,4365},{3902,4692}
X(4718){75,4788},{192,3644}
X(4719){1,4646}
X(4723){3992,4738},{4358,4487}
X(4726){37,1278},{75,4686},{4718,4764}
X(4728){693,4776}
X(4730){649,4814},{4041,4729}
X(4731){3753,3921}
X(4732){10,3696},{37,4709},{4669,4688}
X(4733){8,86}
X(4738){8,3952},{4487,4723}
X(4739){37,4726},{75,3739},{3664,4399},{4681,4686}
X(4740){2,1278}
X(4743){3755,4780}
X(4744){210,4018},{3901,4661},{3919,4084}
X(4745){2,4669},{8,551},{10,3679},{3241,3625},{3626,3828},{3681,3919},{4499,4690},{4664,4709}
X(4746){8,3626},{10,4701},{1125,3625},{3632,3635},{3828,4677}
X(4747){4644,4748}
X(4748){4643,4798}
X(4750){4025,4786},{4467,4789}
X(4755){2,37},{4664,4688}
X(4757){10,4018},{65,4084}
X(4758){1125,4670},{3635,4665}
X(4759){44,4432},{4702,4753}
X(4761){4774,4784}
X(4763){2,1635},{649,4776}
X(4765){4467,4468},{4790,4841},{4818,4830}
X(4769){8,315}
X(4770){661,4730},{1734,4490},{3679,4948},{4041,4705},{4761,4824},{4775,4814},{4825,4893}
X(4772){75,4751}
X(4775){661,4895}
X(4776){661,4728}
X(4782){649,659},{667,4063},{4010,4380},{4040,4834},{4367,4498},{4369,4830},{4724,4784}
X(4786){649,4750}
X(4789){4024,4750}
X(4791){1,4474},{693,3762},{1577,4391},{4774,4775}
X(4794){1,4724},{659,4775},{663,4040}
X(4795){2,4644}
X(4796){4644,4670}
X(4797){31,4376}
X(4798){3616,4470},{4747,4748}
X(4800){4010,4448}
X(4806){661,4010},{2533,4822},{4170,4705},{4804,4824}
X(4807){8,1019},{1577,4729},{2533,4730},{4041,4761}
X(4813){4810,4963}
X(4815){4017,4804},{4801,4811}
X(4816){1698,3632}
X(4820){4813,4838}
X(4821){1278,4704}
X(4823){693,1577},{1734,4804},{2517,4815},{3762,4801},{4063,4382},{4810,4834},{4813,4960}
X(4824){4784,4963}
X(4825){4814,4893}
X(4830){4380,4724}
X(4836){32,4381}
X(4847){8,3872},{55,4863},{63,3434},{956,3419}
X(4850){3240,4392}
X(4852){6,3875}
X(4856){145,4924},{193,3663},{3629,4852}
X(4859){3161,4373},{3973,4902},{4402,4869}
X(4868){42,4424}
X(4871){244,4358},{3992,4694},{3999,4009},{4695,4742}
X(4874){649,4010},{659,693},{663,2533},{667,1577},{3716,4369},{3762,4378},{4170,4834},{4367,4391},{4379,4448},{4380,4810},{4401,4823},{4474,4922},{4486,4817},{4761,4775}
X(4885){37,4411},{649,4106},{650,693},{905,1577},{3239,3676},{3669,4391},{3700,4025},{3835,4369},{3837,4874},{3960,4791},{4453,4944},{4458,4522},{4467,4820}
X(4887){320,1266},{3912,4440}
X(4891){3175,3873}
X(4892){3120,3936},{4062,4442}
X(4893){661,1635},{4775,4825},{4800,4948}
X(4895){663,4959}
X(4901){8,346}
X(4904){8,1280},{1358,4534}
X(4908){3679,4693},{3797,4664},{3943,4370}
X(4913){4041,4560},{4088,4467},{4784,4824}
X(4920){315,3905}
X(4928){2,4728},{693,4893},{1022,3762},{1639,4927},{4120,4453},{4379,4776}
X(4931){4024,4120}
X(4940){661,4106}
X(4944){649,4958},{1639,3700},{4800,4951},{4893,4931}
X(4949){4813,4820}
To ETC

Compiled by Peter J C Moses.