COOKIE CONSENT: By continuing to browse my site you agree to its use of cookies. OK or Tell me more
Search a number
happy n.  and  Proth n.

First numbers that belong to both sets:

13, 49, 97, 129, 193, 673, 833, 1281, 1857, 2177, 2369, 2881, 3137, 3329, 3713, 4225, 4481, 4609, 5121, 5633, 6017, 7169, 7425, 7937, 9089, 9857, 10881, 11521, 12033, 12801, 13185, 13697, 13825, 14081, 14465, 19969, 21761, 22273, 25345, 25857, 30209, 30465, 30977, 31233, 31745, 32257, 34817, 39169, 40449, 41473, 42753, 44801, 46593, 47105, 48641, 51201, 54017, 54273, 55553, 57089, 58113, 59649, 60673, 61441, 61697, 62721, 62977, 64257, 65281, 68097, 70145, 73729, 74241, 75265, 79361, 82945, 85505, 87041, 100353, 101377, 104449, 105473, 115201, 115713, 120321, 128001, 134145, 137729, 140801, 145409, 151041, 151553, 152065, 156161, 159233, 160769, 168961, 169473, 173057, 176641, 179713, 181249, 183297, 183809, 186881, 198145, 201729, 202753, 208897, 217601, 219649, 222209, 224769, 232449, 233985, 235521, 238593, 247297, 249857, 251393, 256513, 258049, 262145, 263169, 266241, 271361, 274433, 279553, 291841, 294913, 296961, 303105, 312321, 321537, 322561, 342017, 347137, 357377, 370689, 376833, 380929, 405505, 408577, 410625, 413697, 416769, 421889, 436225, 450561, 454657, 455681, 458753, 464897, 472065, 473089, 476161, 484353, 486401, 492545, 495617, 502785, 505857, 506881, 512001, 514049, 515073, 516097, 523265, 530433, 536577, 541697, 548865, 549889, 551937, 561153, 568321, 569345, 574465, 582657, 586753, 589825, 595969, 596993, 600065, 614401, 624641, 633857, 634881, 635905, 641025, 646145, 647169, 650241, 668673, 669697, 670721, 671745, 683009, 696321, 702465, 703489, 704513, 708609, 713729, 717825, 726017, 732161, 737281, 742401, 760833, 780289, 781313, 791553, 793601, 799745, 800769, 826369, 836609, 837633, 842753, 843777, 848897, 870401, 872449, 879617, 881665, 882689, 885761, 886785, 903169, 904193, 911361, 913409, 920577, 932865, 955393, 956417, 957441, 966657, 979969, 986113, 1013761, 1022977, 1031169, 1035265, 1050625, 1067009, 1069057, 1073153, 1095681, 1099777, 1103873, 1112065, 1122305, 1136641, 1157121, 1159169, 1165313, 1167361, 1185793, 1189889, 1193985, 1200129, 1206273, 1241089, 1255425, 1269761, 1280001, 1292289, 1300481, 1329153, 1333249, 1361921, 1370113, 1384449, 1398785, 1431553, 1460225, 1476609, 1515521.

Some larger examples :