Search a number
brilliant n.  and  centered square n.

First numbers that belong to both sets:

25, 221, 481, 841, 1513, 2813, 7081, 17113, 22261, 29041, 46513, 48361, 61601, 72581, 92881, 96361, 117613, 120541, 129541, 130561, 154013, 180601, 183013, 189113, 211901, 227813, 262813, 267181, 274541, 324013, 345281, 755221, 1731661, 1784161, 1950313, 2202901, 2245081, 2475313, 2844113, 2901641, 2930621, 2979241, 3202981, 3445313, 3615361, 3701921, 3778501, 4202101, 4266121, 4527041, 4666513, 5008613, 5742661, 5934013, 5954701, 6016981, 6163561, 6354613, 6997541, 7254241, 7277113, 7338281, 8327281, 8573941, 8732021, 8841013, 8899981, 9206341, 9326881, 9370121, 9587821, 9728461, 9985981, 10039681, 10301261, 10392241, 10483621, 10557013, 11210113, 11238541, 11305013, 11688613, 11766101, 12475013, 12979513, 13266401, 13525201, 14124613, 14338013, 14585401, 15152513, 15174541, 15562621, 15786581, 16733113, 16872241, 16965313, 17410901, 17493613, 17529121, 17612113, 18271013, 19462561, 19712921, 21313921, 21879113, 22171141, 22277813, 22317881, 23154013, 24116513, 25496941, 26681513, 26783881, 27048013, 27239581, 29992513, 30819101, 31672841, 32959081, 33611801, 33628201, 33661013, 34287481, 34453301, 34769461, 35187661, 35490313, 35777341, 36337813, 36713881, 37801513, 38816861, 39240941, 39471613, 39507161, 39613901, 39881381, 40815613, 41669321, 42587221, 43235701, 44925721, 45649013, 46648141, 46996513, 47424061, 48995101, 49610761, 50793121, 51055513, 51217321, 51663613, 54444613, 54486361, 56381581, 56658013, 56935121, 58330801, 60181421, 60665113, 60951841, 63270001, 70816901, 71748221, 72252221, 78387721, 81166541, 108030301, 114382813, 133416113, 139361513, 146187901, 149731513, 151536641, 152617921, 152967541, 157549001, 165456241, 170219701, 173259113, 175950041, 179456513, 186805121, 198024901, 199101013, 205132513, 210555721, 215053061, 216091261, 216507241, 217882813, 219639841, 220605013, 222288613, 224105621, 224486861, 233172013, 246664261, 248622701, 249068881, 249113521, 261770081, 262686121, 263695613, 265766513, 270537061, 273335581, 278739661, 285724513, 286346381, 288264061, 290621941, 296729161, 297167821, 298388021, 299023513, 303589441, 313125313, 313225421, 315381613, 322707013, 323622241, 324334981, 326426801, 332949013, 334240513, 337766041, 338234041, 341780513, 348506401, 350621681, 353009021, 353487461, 356471701, 359093201, 360327013, 363717421, 364095113, 365337481, 371145013, 377327921, 377877541, 383118881, 386447801, 388340581, 389902813, 391692061, 394552141, 397648201, 399059501, 400190341, 401322781, 412735181, 413712613, 415728613, 417171613, 417865141, 422561521, 435744721, 436453513, 441668921, 444646021, 444765313, 447274141, 454541401, 456593981, 467721113, 468945313, 474350801, 474597241, 474967021, 475398613, 480841061, 480965113, 488750113, 493262641, 497669701, 501842881, 502159741.

Some larger examples :