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centered pentagonal n.  and  interprime n.

First numbers that belong to both sets:

6, 76, 1756, 4731, 6126, 6376, 6891, 7701, 8266, 10726, 13506, 14631, 17016, 20026, 33351, 34516, 44556, 46581, 49351, 64401, 66831, 72676, 76126, 82356, 88831, 111831, 118266, 135141, 136306, 151906, 187006, 205206, 209526, 215356, 264876, 266506, 269781, 274731, 293266, 303631, 321306, 328516, 360051, 363856, 365766, 373456, 421276, 435766, 469806, 498406, 505126, 516426, 525556, 623751, 700926, 730351, 735766, 746656, 774231, 799476, 822256, 859956, 922641, 947101, 971881, 1028806, 1103901, 1164516, 1191976, 1237281, 1323141, 1356081, 1411881, 1480326, 1503501, 1642276, 1683051, 1787176, 1851151, 1885731, 1933801, 1938201, 2036266, 2109106, 2146006, 2268141, 2369256, 2393656, 2398551, 2527576, 2588266, 2608656, 2613766, 2639391, 2659981, 2696206, 2748381, 2764131, 2822266, 2891751, 3038766, 3055326, 3083026, 3105276, 3138801, 3150016, 3291891, 3303376, 3326406, 3395976, 3705766, 3791481, 4060876, 4092801, 4099201, 4339516, 4365906, 4559626, 4607016, 4702531, 4750656, 4764451, 4771356, 4805956, 5080126, 5238141, 5576356, 5636256, 5772201, 5856076, 5863731, 5948266, 5955981, 6119151, 6308331, 6316276, 6356076, 6428031, 6452106, 6508456, 6524601, 6802126, 7043406, 7102276, 7212256, 7400301, 7408906, 7582056, 7651876, 8032641, 8221956, 8249181, 8450206, 8756281, 8925526, 9077326, 9125026, 9172851, 9201606, 9697326, 9815856, 9985006, 10216156, 10226266, 10368331, 10480641, 10593556, 10956856, 11082826, 11347576, 11379556, 11518656, 11637016, 11647806, 11864656, 11919181, 12149551, 12304356, 12337656, 12560806, 12572016, 12673131, 12978906, 13161826, 13196266, 13265281, 13334476, 13438606, 14083756, 14262331, 14346051, 14454051, 14671266, 14719756, 15110556, 15147456, 15481581, 16033891, 16544391, 16570126, 16583001, 16932516, 17049831, 17089026, 17233126, 17246256, 17669056, 18123891, 18489201, 18530016, 18543631, 18611781, 18899376, 19119976, 19286266, 19300156, 19467226, 19523076, 19845766, 19916266, 20015176, 20085976, 20542056, 20714406, 21469576, 21719391, 22029981, 22104256, 22447531, 22567551, 23081206, 23309656, 23340201, 23477901, 23585281, 23708301, 23739106, 24048256, 24079281, 24110326, 24484426, 24625456, 24798376, 25432276, 25560016, 25576006, 25592001, 25768276, 26009626, 26041891, 26122641, 26398126, 27431641, 27713926, 27797226, 28047876, 28586356, 29095831, 29833926, 29937651, 29972266, 30371776, 30651256, 30826581, 31037631, 31373266, 31568406, 32265141, 32319051, 32987641, 33023976, 33260641, 33516456, 34123326, 34289781, 34326826, 34642516, 34754281, 34791576, 34903581.

Some larger examples :