Examples
The squares (sequence A000290 in OEIS) smaller than 602 are:
- 02 = 0
- 12 = 1
- 22 = 4
- 32 = 9
- 42 = 16
- 52 = 25
- 62 = 36
- 72 = 49
- 82 = 64
- 92 = 81
- 102 = 100
- 112 = 121
- 122 = 144
- 132 = 169
- 142 = 196
- 152 = 225
- 162 = 256
- 172 = 289
- 182 = 324
- 192 = 361
- 202 = 400
- 212 = 441
- 222 = 484
- 232 = 529
- 242 = 576
- 252 = 625
- 262 = 676
- 272 = 729
- 282 = 784
- 292 = 841
- 302 = 900
- 312 = 961
- 322 = 1024
- 332 = 1089
- 342 = 1156
- 352 = 1225
- 362 = 1296
- 372 = 1369
- 382 = 1444
- 392 = 1521
- 402 = 1600
- 412 = 1681
- 422 = 1764
- 432 = 1849
- 442 = 1936
- 452 = 2025
- 462 = 2116
- 472 = 2209
- 482 = 2304
- 492 = 2401
- 502 = 2500
- 512 = 2601
- 522 = 2704
- 532 = 2809
- 542 = 2916
- 552 = 3025
- 562 = 3136
- 572 = 3249
- 582 = 3364
- 592 = 3481
The difference between any perfect square and its predecessor is given by the identity . Equivalently, it is possible to count up square numbers by adding together the last square, the last square's root, and the current root, that is, .
Read more about this topic: Square Number
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—Michel de Montaigne (1533–1592)