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centered decagonal n.  and  prime n.

First numbers that belong to both sets:

11, 31, 61, 101, 151, 211, 281, 661, 911, 1051, 1201, 1361, 1531, 1901, 2311, 2531, 3001, 3251, 3511, 4651, 5281, 6301, 6661, 7411, 9461, 9901, 12251, 13781, 14851, 15401, 18301, 18911, 19531, 20161, 22111, 24151, 24851, 25561, 27011, 27751, 31601, 32401, 33211, 34031, 36551, 38281, 39161, 43711, 44651, 51511, 54601, 56711, 57781, 59951, 61051, 63281, 65551, 66701, 69031, 76261, 81281, 82561, 86461, 91801, 94531, 95911, 97301, 101531, 110261, 111751, 114761, 117811, 130411, 135301, 136951, 140281, 141961, 143651, 148781, 154001, 159311, 162901, 175781, 183361, 187211, 189151, 203011, 205031, 207061, 211151, 217361, 219451, 225781, 234361, 243101, 247531, 252001, 261061, 267961, 274951, 277301, 286801, 308761, 318781, 321311, 328961, 341911, 347161, 349801, 355111, 357781, 360461, 363151, 365851, 371281, 379501, 393401, 399031, 401861, 410411, 419051, 424861, 427781, 433651, 442531, 460561, 466651, 482051, 485161, 497701, 500861, 510401, 516811, 520031, 523261, 526501, 529751, 533011, 536281, 546151, 559451, 566161, 579701, 593401, 596851, 600311, 603781, 607261, 617761, 631901, 635461, 649801, 660661, 697511, 712531, 720101, 723901, 727711, 731531, 739201, 758551, 766361, 770281, 786061, 794011, 806011, 814061, 818101, 826211, 842551, 846661, 850781, 859051, 871531, 875711, 892531, 922351, 939611, 943951, 957031, 965801, 970201, 979031, 983461, 996811, 1005761, 1019261, 1032851, 1037401, 1041961, 1064911, 1083451, 1097461, 1102151, 1106851, 1116281, 1121011, 1130501, 1135261, 1149601, 1154401, 1183411, 1193161, 1198051, 1212781, 1222651, 1237531, 1247501, 1277651, 1303051, 1318411, 1323551, 1339031, 1349401, 1354601, 1391281, 1396561, 1407151, 1412461, 1423111, 1433801, 1439161, 1449911, 1455301, 1466111, 1476961, 1493311, 1515251, 1531811, 1548461, 1559611, 1598951, 1604611, 1679101, 1725781, 1737551, 1803001, 1827101, 2000281, 2006611, 2012951, 2038411, 2057611, 2064031, 2070461, 2076901, 2083351, 2128781, 2148401, 2174701, 2194531, 2201161, 2221111, 2247851, 2288261, 2301811, 2322211, 2329031, 2356411, 2439511, 2453501, 2460511, 2474561, 2481601, 2502781, 2509861, 2538281, 2574031, 2581211, 2588401, 2595601, 2617261, 2675461, 2690111, 2697451, 2712161, 2719531, 2771401, 2778851, 2816251.

Some larger examples :