Search a number
centered square n.  and  twin primes

First numbers that belong to both sets:

5, 13, 41, 61, 181, 313, 421, 1301, 2113, 2381, 3121, 5101, 21013, 21841, 24421, 26681, 30013, 37813, 38921, 41761, 44701, 47741, 60901, 68821, 83641, 86113, 100801, 110921, 134681, 135721, 143113, 161881, 163021, 165313, 167621, 177013, 204161, 210601, 218461, 241513, 244301, 273061, 304981, 312841, 335381, 370661, 413141, 437113, 450301, 491041, 529421, 584281, 595141, 603901, 637321, 697381, 750313, 770041, 825613, 859361, 904513, 909901, 1006781, 1064341, 1108561, 1171981, 1187341, 1304113, 1326821, 1446701, 1470613, 1529501, 1629013, 1727941, 1803101, 1806901, 2070613, 2313401, 2343613, 2542513, 2574181, 2601481, 2610613, 2740141, 2763601, 2853661, 3228341, 3238513, 3248701, 3408661, 3429581, 3535141, 3567121, 3696481, 3723721, 3729181, 3917201, 4007281, 4058401, 4307113, 4715521, 4832941, 4901581, 4945513, 5123201, 5136013, 5415341, 5763013, 5879021, 5885881, 6128501, 7035001, 7445941, 7924181, 8197201, 8359961, 8491321, 8773861, 8815801, 9249301, 9456901, 10174561, 10264981, 10529461, 10621441, 11134481, 11381221, 11563241, 12206741, 12395221, 12806861, 13153321, 13442113, 13755013, 13933921, 14050301, 14103361, 14413081, 14607013, 14747881, 14965921, 15262813, 15295981, 15518021, 15629641, 15933013, 16068781, 16125521, 16216513, 16353481, 16445113, 16468061, 16594561, 16791013, 17163941, 18513613, 18843661, 19313113, 20028121, 20218441, 20282081, 20962813, 21549613, 21852661, 21918821, 23045261, 23181241, 23194861, 23605321, 24019381, 24074861, 24999521, 25027813, 25197901, 25554101, 25927201, 26172613, 26201561, 26216041, 26506481, 26930461, 26945141, 28569241, 29961541, 30039001, 30349841, 32040013, 33874681, 34105541, 34122061, 34188181, 34486513, 35238013, 36252613, 36645361, 37316161, 37541113, 38027921, 38150113, 38272501, 38325013, 38447681, 39970741, 40149761, 41578081, 41907013, 42182113, 42864541, 43421881, 43814161, 44039113, 44415313, 45458113, 45496261, 45553513, 45706361, 47054701, 47248921, 48226021, 48619661, 48698581, 48915941, 49252813, 50551513, 51501101, 51521401, 52336681, 52890613, 53240881, 53261521, 56063461, 56169401, 56828461, 57298513, 58872101, 58915513, 59089321, 60731221, 61704941, 62060941, 63157561, 63833701, 64173121, 65906681, 67616821, 68573761, 68667481, 68737813, 68784721, 69090013, 69278221, 69372421, 70935961, 72060013, 72132061, 72468761, 72854521, 73872013, 75657301, 75706513, 76397161, 76446613, 77140621, 77389241, 80530741, 81779261, 82960081, 83527813, 83838301, 84487001, 85086013, 87133201, 87794501, 88964461, 90384013, 90437801, 91003541, 91057513, 93038441, 93147601.

Some larger examples :