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centered pentagonal n.  and  strong prime

First numbers that belong to both sets:

331, 4951, 9151, 12781, 21391, 33931, 107641, 126001, 139831, 143401, 174901, 185641, 224251, 244141, 248851, 261631, 346891, 375391, 415141, 417181, 485101, 491731, 511891, 567631, 603931, 626251, 633781, 636301, 763141, 934831, 984391, 1100581, 1127281, 1212781, 1326781, 1678951, 1761901, 1799881, 1920631, 2040781, 2187901, 2344981, 2379001, 2403451, 2482531, 2644531, 2722231, 2785201, 2806351, 3049801, 3229081, 3251851, 3454501, 3460381, 3478051, 3597001, 3621031, 3693601, 3766891, 3797641, 3946981, 4041781, 4176391, 4195801, 4221751, 4359301, 4438891, 4600231, 4620601, 4736881, 4785181, 4924531, 5016181, 5122981, 5274391, 5810251, 5871391, 5902081, 5994631, 6205501, 6244951, 6460141, 6654481, 7127581, 7460641, 7573351, 7599481, 7643131, 8203831, 8212891, 8505451, 8653651, 8953891, 9297781, 10165681, 10490881, 10686391, 11030251, 11188351, 11273131, 11315641, 11497201, 12061531, 12956131, 13127431, 13450201, 14502181, 14975641, 15122851, 15172081, 15731431, 16021231, 16071901, 16186201, 16647451, 16958551, 17536381, 17909131, 18110431, 18830701, 19037101, 19383601, 19930381, 20341891, 20556391, 20613781, 20858581, 20901931, 21955831, 22672831, 22687891, 23279131, 24141391, 24156931, 25146031, 25288951, 25912951, 28031131, 28417531, 29506651, 30686281, 30914431, 31267081, 31746331, 33114901, 33333631, 34308301, 34363891, 34438081, 35259451, 35428651, 35787181, 37781641, 38093281, 38269141, 38740081, 38956891, 39035881, 39610951, 40390951, 40572031, 41117701, 41381731, 41544631, 41626201, 43025131, 43087381, 43607881, 43837891, 44089501, 44278681, 44679391, 44785141, 45103141, 45188131, 45294481, 45379651, 45550231, 46128301, 46926391, 47775031, 48675391, 49272901, 49361731, 49628701, 50703781, 51358891, 51972601, 52246531, 52452451, 52521181, 52819531, 52888501, 53626981, 53928451, 54463891, 54557281, 56441881, 58455151, 59061151, 59328781, 59353141, 59841391, 60012751, 60528301, 60602131, 60725281, 60799231, 62512501, 62812891, 62913181, 64097581, 64122901, 64503301, 65012251, 65114281, 65241931, 66473731, 66861031, 67197601, 67483051, 67509031, 69287401, 71275651, 71382481, 74542651, 74843281, 77186731, 77270101, 77409151, 77492641, 77827051, 79171891, 79200031, 80103151, 81553081, 81667351, 82268581, 86450701, 86774431, 87394141, 87482851, 87956731, 90616051, 90736501, 90826891, 91824151, 93284431, 93528931, 94848601, 95465551, 96581101, 96985531, 97328401, 97734391, 98203891, 98863081, 99998251.