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centered heptagonal n.  and  Sophie Germain prime

First numbers that belong to both sets:

953, 5741, 10781, 14561, 46691, 54251, 68111, 93563, 357281, 384623, 569843, 676061, 1037681, 1717451, 1837151, 1976633, 2024261, 3673601, 5946893, 8338373, 9650411, 11548853, 12050081, 12363821, 14288471, 14975423, 15856793, 18506951, 27215063, 27744641, 32420123, 33710993, 37116773, 37734803, 39056291, 52135091, 52785503, 56014001, 57366233, 69137531, 72634031, 76118813, 77199893, 84052151, 92163023, 95205041, 95533901, 105087221, 107284913, 114494381, 114975323, 124179623, 138716621, 149906681, 156014783, 159397883, 160675901, 164540573, 168596891, 170496971, 171671543, 174032783, 178203761, 182879243, 214006031, 216476261, 231253793, 231937091, 233993033, 281518973, 284540453, 291397751, 295242641, 305357291, 308503763, 336723353, 346891931, 354459113, 375907463, 381806531, 382903991, 389078873, 425079971, 437434271, 443796011, 451633841, 458097641, 458337923, 503622071, 506396843, 526033691, 528095303, 540288701, 542378033, 560565881, 567764513, 604722581, 628131743, 636033581, 641707991, 645409871, 651125861, 660323861, 661189481, 670748723, 679791113, 681255233, 704597363, 707281541, 722890043, 766691801, 772920611, 793338281, 853890731, 882999503, 901440233, 902788811, 912257081, 927577421, 950970203, 969055361, 998275013, 1026849293, 1034416853, 1042737011, 1045638791, 1050362783, 1069365221, 1074878351, 1091131973, 1094100281, 1101911273, 1118367251, 1149741251, 1156220801, 1179235331, 1213400231, 1231847261, 1238158853, 1254405923, 1263566501, 1276768151, 1312307963, 1364458481, 1399930001, 1402871471, 1419739091, 1437133013, 1445229521, 1455917471, 1548133973, 1601586953, 1606532201, 1617799751, 1731239441, 1739188403, 1835996093, 1861091891, 1881972863, 1894166513, 1896121151, 1929504221, 1939378211, 1956718331, 2057285231, 2098217591, 2143708883, 2156721533, 2217615443, 2226081131, 2240403551, 2348469593, 2409238763, 2422480103, 2445184673, 2500444493, 2501005823, 2552350571, 2575084751, 2604789881, 2646201293, 2649089213, 2650822721, 2680960283, 2686193693, 2706594353, 2711852711, 2727658403, 2755870811, 2815708463, 2858157233, 2943398501, 3066456401, 3100739111, 3267948923, 3273726653, 3394929581, 3469237703, 3505696433, 3540341771, 3645977651, 3677903153, 3700402091, 3760046333, 3804226973, 3840313751, 4069715651, 4100565743, 4161891203, 4175661491, 4266822491, 4305035393, 4345638263, 4501667213, 4528820843, 4534866071, 4561361351, 4562119493, 4616108603, 4792406543, 4949081243, 5008483943, 5040310283, 5137198613, 5188009751, 5394579191, 5406953021, 5499792341, 5685302393, 5691228551, 5705633501, 5993210231, 6067302011, 6111975563, 6232792301, 6263847521, 6388840151, 6399611261, 6404101901, 6411290201, 6424779131, 6544092941, 6555902921, 6731567081, 6745388651, 6752765951, 6800816681, 6861119651, 6961903901, 7032325301, 7036091063, 7067197061, 7188499781, 7221848201, 7322356511, 7372389221, 7518642083, 7612370963, 7636874813, 7644724361, 7734296753, 7793640863, 7970027381, 8074587473, 8085686561, 8166636521, 8334869201, 8367694721, 8416024163, 8462427443, 8606567663, 8691124373, 8736180461, 8765581931, 9023885333, 9080488061, 9156591683, 9264318533, 9303254423, 9326004731, 9350953613, 9491501951, 9586882313, 9626489531, 9929501513, 9956364461.