Search a number
gapful n.  and  square n.

First numbers that belong to both sets:

100, 121, 225, 400, 484, 900, 1296, 1600, 1764, 1936, 2025, 2304, 2500, 3600, 5184, 9025, 9216, 10000, 10816, 11025, 12100, 12544, 13456, 14400, 14641, 15376, 16900, 17689, 18225, 18496, 19600, 21025, 22500, 24025, 24336, 25600, 27225, 28224, 28900, 30276, 30625, 32400, 34596, 40000, 41209, 47089, 48400, 50176, 52900, 57600, 61504, 69696, 70756, 78400, 90000, 101761, 102400, 103684, 104329, 104976, 108900, 112896, 115600, 116281, 118336, 119025, 122500, 126736, 129600, 132496, 136900, 140625, 141376, 142884, 144400, 147456, 152100, 153664, 156816, 160000, 163216, 164025, 168100, 173056, 176400, 179776, 184041, 184900, 189225, 190096, 190969, 193600, 197136, 202500, 207025, 211600, 216225, 219024, 220900, 225625, 230400, 235225, 240100, 242064, 243049, 244036, 245025, 250000, 255025, 260100, 265225, 270400, 275625, 278784, 280900, 286225, 291600, 297025, 298116, 318096, 324900, 331776, 334084, 346921, 352836, 354025, 360000, 367236, 374544, 389376, 396900, 405769, 407044, 409600, 414736, 416025, 435600, 455625, 462400, 465124, 480249, 490000, 497025, 499849, 504100, 511225, 518400, 532900, 544644, 547600, 562500, 571536, 577600, 588289, 592900, 608400, 627264, 652864, 656100, 692224, 705600, 731025, 763876, 783225, 788544, 810000, 826281, 846400, 874225, 883600, 894916, 915849, 921600, 968256, 980100, 1000000, 1002001, 1008016, 1010025, 1014049, 1016064, 1020100, 1032256, 1040400, 1044484, 1048576, 1060900, 1071225, 1073296, 1081600, 1089936, 1102500, 1115136, 1123600, 1132096, 1134225, 1144900, 1157776, 1162084, 1166400, 1172889, 1175056, 1185921, 1188100, 1192464, 1199025, 1201216, 1210000, 1218816, 1232100, 1234321, 1245456, 1254400, 1263376, 1265625, 1276900, 1290496, 1299600, 1308736, 1317904, 1322500, 1334025, 1336336, 1345600, 1350244, 1354896, 1368900, 1382976, 1392400, 1401856, 1404225, 1416100, 1430416, 1432809, 1437601, 1440000, 1449616, 1464100, 1476225, 1478656, 1483524, 1488400, 1490841, 1498176, 1512900, 1517824, 1527696, 1537600, 1547536, 1550025, 1562500, 1577536, 1587600, 1597696, 1612900, 1620529, 1625625, 1628176, 1638400, 1648656, 1658944, 1664100, 1679616, 1690000, 1695204, 1700416, 1703025, 1713481, 1716100, 1731856, 1742400, 1752976, 1768900, 1771561, 1782225, 1784896, 1795600, 1806336, 1822500, 1838736.

Some larger examples :