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centered square n.  and  Lehmer n.

First numbers that belong to both sets:

85, 481, 1105, 4141, 7081, 16021, 16745, 22261, 35113, 50881, 78013, 88621, 107185, 247105, 363805, 404101, 513085, 546013, 606101, 614941, 630565, 648661, 650941, 1879861, 2091013, 2181961, 2395861, 2670361, 3922801, 4318861, 4324741, 4413421, 4684861, 4746281, 5507881, 8673613, 9206341, 9781465, 14156521, 18537961, 28902805, 31513861, 33546241, 37074661, 52152685, 73459321, 74554261, 90626185, 98490613, 101973481, 104386801, 104560261, 124047001, 132991741, 140633221, 147765241, 154510621, 156414985, 158437801, 170773681, 186071341, 217966321, 238252621, 254048341, 255131461, 277277701, 297411661, 312225061, 332845801, 384171481, 399003001, 403251601, 415036861, 466681801, 519096421, 524264581, 585812221, 677451241, 752370841, 981732361, 1098539065, 1142850241, 1263084061, 1352468041, 1398094321, 1507608961, 2130804481, 2147680261, 2158310701, 2438882641, 2447270761, 2597114521, 2599277101, 2648391421, 2988340741, 3131490661, 3550632181, 3932159881, 4355337781, 5007903121, 5818507813, 5822391961, 6374221141, 6404516665, 7727855521, 8306444941, 8857671901, 9998252641, 10266155341, 10378226521, 10732443541, 12233764621, 12573649621, 14288782201, 15138870013, 15632833021, 16051123621, 17418924601, 18191064541, 18680318761, 20353750561, 20789440141, 22473908041, 24946855081, 26090360881, 26218439041, 27574677961, 28195762981, 28706715661, 37532246221, 38567809645, 41801258941, 41939582581, 52311568513, 61074775501, 61505415721, 63874885621, 67066235041, 70350380101, 72067440901, 76486253845, 78590662261, 86270687581, 86807361121, 91211048941, 93117269701, 97797396061, 111053833045, 112722742861, 139522446505, 143027447641, 147414183181, 174605632741, 189796382161, 194980765981, 205689924661, 206891070541, 207277205941, 209917657405, 214906335601, 221270133085, 249676404601, 256950581581, 280291567921, 287895549241, 290732863261, 327322214101, 341347010005, 345828346141, 399592074421, 421664076121, 434490030241, 436879716001, 436935802861, 441958874281, 451965633505, 457695805561, 480681300541, 483279180385, 519140759761, 545019157201, 569362943161, 609168455545, 651626421601, 662275046941, 721439518801, 759425830945, 777777616981, 808166682601, 828044222941, 840623381821, 843000484261, 845963574541, 868452609445, 881248931641, 920997277201, 964634109181.