List of Square Numbers
Below is a list of the first 1000 square numbers. As you can see, there are relatively few square numbers. There are only 1000 square numbers up to one million. You have to go beyond one billion to get to the 32000th square number.
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 = 1,024
332 = 1,089
342 = 1,156
352 = 1,225
362 = 1,296
372 = 1,369
382 = 1,444
392 = 1,521
402 = 1,600
412 = 1,681
422 = 1,764
432 = 1,849
442 = 1,936
452 = 2,025
462 = 2,116
472 = 2,209
482 = 2,304
492 = 2,401
502 = 2,500
512 = 2,601
522 = 2,704
532 = 2,809
542 = 2,916
552 = 3,025
562 = 3,136
572 = 3,249
582 = 3,364
592 = 3,481
602 = 3,600
612 = 3,721
622 = 3,844
632 = 3,969
642 = 4,096
652 = 4,225
662 = 4,356
672 = 4,489
682 = 4,624
692 = 4,761
702 = 4,900
712 = 5,041
722 = 5,184
732 = 5,329
742 = 5,476
752 = 5,625
762 = 5,776
772 = 5,929
782 = 6,084
792 = 6,241
802 = 6,400
812 = 6,561
822 = 6,724
832 = 6,889
842 = 7,056
852 = 7,225
862 = 7,396
872 = 7,569
882 = 7,744
892 = 7,921
902 = 8,100
912 = 8,281
922 = 8,464
932 = 8,649
942 = 8,836
952 = 9,025
962 = 9,216
972 = 9,409
982 = 9,604
992 = 9,801
1002 = 10,000
1012 = 10,201
1022 = 10,404
1032 = 10,609
1042 = 10,816
1052 = 11,025
1062 = 11,236
1072 = 11,449
1082 = 11,664
1092 = 11,881
1102 = 12,100
1112 = 12,321
1122 = 12,544
1132 = 12,769
1142 = 12,996
1152 = 13,225
1162 = 13,456
1172 = 13,689
1182 = 13,924
1192 = 14,161
1202 = 14,400
1212 = 14,641
1222 = 14,884
1232 = 15,129
1242 = 15,376
1252 = 15,625
1262 = 15,876
1272 = 16,129
1282 = 16,384
1292 = 16,641
1302 = 16,900
1312 = 17,161
1322 = 17,424
1332 = 17,689
1342 = 17,956
1352 = 18,225
1362 = 18,496
1372 = 18,769
1382 = 19,044
1392 = 19,321
1402 = 19,600
1412 = 19,881
1422 = 20,164
1432 = 20,449
1442 = 20,736
1452 = 21,025
1462 = 21,316
1472 = 21,609
1482 = 21,904
1492 = 22,201
1502 = 22,500
1512 = 22,801
1522 = 23,104
1532 = 23,409
1542 = 23,716
1552 = 24,025
1562 = 24,336
1572 = 24,649
1582 = 24,964
1592 = 25,281
1602 = 25,600
1612 = 25,921
1622 = 26,244
1632 = 26,569
1642 = 26,896
1652 = 27,225
1662 = 27,556
1672 = 27,889
1682 = 28,224
1692 = 28,561
1702 = 28,900
1712 = 29,241
1722 = 29,584
1732 = 29,929
1742 = 30,276
1752 = 30,625
1762 = 30,976
1772 = 31,329
1782 = 31,684
1792 = 32,041
1802 = 32,400
1812 = 32,761
1822 = 33,124
1832 = 33,489
1842 = 33,856
1852 = 34,225
1862 = 34,596
1872 = 34,969
1882 = 35,344
1892 = 35,721
1902 = 36,100
1912 = 36,481
1922 = 36,864
1932 = 37,249
1942 = 37,636
1952 = 38,025
1962 = 38,416
1972 = 38,809
1982 = 39,204
1992 = 39,601
2002 = 40,000
2012 = 40,401
2022 = 40,804
2032 = 41,209
2042 = 41,616
2052 = 42,025
2062 = 42,436
2072 = 42,849
2082 = 43,264
2092 = 43,681
2102 = 44,100
2112 = 44,521
2122 = 44,944
2132 = 45,369
2142 = 45,796
2152 = 46,225
2162 = 46,656
2172 = 47,089
2182 = 47,524
2192 = 47,961
2202 = 48,400
2212 = 48,841
2222 = 49,284
2232 = 49,729
2242 = 50,176
2252 = 50,625
2262 = 51,076
2272 = 51,529
2282 = 51,984
2292 = 52,441
2302 = 52,900
2312 = 53,361
2322 = 53,824
2332 = 54,289
2342 = 54,756
2352 = 55,225
2362 = 55,696
2372 = 56,169
2382 = 56,644
2392 = 57,121
2402 = 57,600
2412 = 58,081
2422 = 58,564
2432 = 59,049
2442 = 59,536
2452 = 60,025
2462 = 60,516
2472 = 61,009
2482 = 61,504
2492 = 62,001
2502 = 62,500
2512 = 63,001
2522 = 63,504
2532 = 64,009
2542 = 64,516
2552 = 65,025
2562 = 65,536
2572 = 66,049
2582 = 66,564
2592 = 67,081
2602 = 67,600
2612 = 68,121
2622 = 68,644
2632 = 69,169
2642 = 69,696
2652 = 70,225
2662 = 70,756
2672 = 71,289
2682 = 71,824
2692 = 72,361
2702 = 72,900
2712 = 73,441
2722 = 73,984
2732 = 74,529
2742 = 75,076
2752 = 75,625
2762 = 76,176
2772 = 76,729
2782 = 77,284
2792 = 77,841
2802 = 78,400
2812 = 78,961
2822 = 79,524
2832 = 80,089
2842 = 80,656
2852 = 81,225
2862 = 81,796
2872 = 82,369
2882 = 82,944
2892 = 83,521
2902 = 84,100
2912 = 84,681
2922 = 85,264
2932 = 85,849
2942 = 86,436
2952 = 87,025
2962 = 87,616
2972 = 88,209
2982 = 88,804
2992 = 89,401
3002 = 90,000
3012 = 90,601
3022 = 91,204
3032 = 91,809
3042 = 92,416
3052 = 93,025
3062 = 93,636
3072 = 94,249
3082 = 94,864
3092 = 95,481
3102 = 96,100
3112 = 96,721
3122 = 97,344
3132 = 97,969
3142 = 98,596
3152 = 99,225
3162 = 99,856
3172 = 100,489
3182 = 101,124
3192 = 101,761
3202 = 102,400
3212 = 103,041
3222 = 103,684
3232 = 104,329
3242 = 104,976
3252 = 105,625
3262 = 106,276
3272 = 106,929
3282 = 107,584
3292 = 108,241
3302 = 108,900
3312 = 109,561
3322 = 110,224
3332 = 110,889
3342 = 111,556
3352 = 112,225
3362 = 112,896
3372 = 113,569
3382 = 114,244
3392 = 114,921
3402 = 115,600
3412 = 116,281
3422 = 116,964
3432 = 117,649
3442 = 118,336
3452 = 119,025
3462 = 119,716
3472 = 120,409
3482 = 121,104
3492 = 121,801
3502 = 122,500
3512 = 123,201
3522 = 123,904
3532 = 124,609
3542 = 125,316
3552 = 126,025
3562 = 126,736
3572 = 127,449
3582 = 128,164
3592 = 128,881
3602 = 129,600
3612 = 130,321
3622 = 131,044
3632 = 131,769
3642 = 132,496
3652 = 133,225
3662 = 133,956
3672 = 134,689
3682 = 135,424
3692 = 136,161
3702 = 136,900
3712 = 137,641
3722 = 138,384
3732 = 139,129
3742 = 139,876
3752 = 140,625
3762 = 141,376
3772 = 142,129
3782 = 142,884
3792 = 143,641
3802 = 144,400
3812 = 145,161
3822 = 145,924
3832 = 146,689
3842 = 147,456
3852 = 148,225
3862 = 148,996
3872 = 149,769
3882 = 150,544
3892 = 151,321
3902 = 152,100
3912 = 152,881
3922 = 153,664
3932 = 154,449
3942 = 155,236
3952 = 156,025
3962 = 156,816
3972 = 157,609
3982 = 158,404
3992 = 159,201
4002 = 160,000
4012 = 160,801
4022 = 161,604
4032 = 162,409
4042 = 163,216
4052 = 164,025
4062 = 164,836
4072 = 165,649
4082 = 166,464
4092 = 167,281
4102 = 168,100
4112 = 168,921
4122 = 169,744
4132 = 170,569
4142 = 171,396
4152 = 172,225
4162 = 173,056
4172 = 173,889
4182 = 174,724
4192 = 175,561
4202 = 176,400
4212 = 177,241
4222 = 178,084
4232 = 178,929
4242 = 179,776
4252 = 180,625
4262 = 181,476
4272 = 182,329
4282 = 183,184
4292 = 184,041
4302 = 184,900
4312 = 185,761
4322 = 186,624
4332 = 187,489
4342 = 188,356
4352 = 189,225
4362 = 190,096
4372 = 190,969
4382 = 191,844
4392 = 192,721
4402 = 193,600
4412 = 194,481
4422 = 195,364
4432 = 196,249
4442 = 197,136
4452 = 198,025
4462 = 198,916
4472 = 199,809
4482 = 200,704
4492 = 201,601
4502 = 202,500
4512 = 203,401
4522 = 204,304
4532 = 205,209
4542 = 206,116
4552 = 207,025
4562 = 207,936
4572 = 208,849
4582 = 209,764
4592 = 210,681
4602 = 211,600
4612 = 212,521
4622 = 213,444
4632 = 214,369
4642 = 215,296
4652 = 216,225
4662 = 217,156
4672 = 218,089
4682 = 219,024
4692 = 219,961
4702 = 220,900
4712 = 221,841
4722 = 222,784
4732 = 223,729
4742 = 224,676
4752 = 225,625
4762 = 226,576
4772 = 227,529
4782 = 228,484
4792 = 229,441
4802 = 230,400
4812 = 231,361
4822 = 232,324
4832 = 233,289
4842 = 234,256
4852 = 235,225
4862 = 236,196
4872 = 237,169
4882 = 238,144
4892 = 239,121
4902 = 240,100
4912 = 241,081
4922 = 242,064
4932 = 243,049
4942 = 244,036
4952 = 245,025
4962 = 246,016
4972 = 247,009
4982 = 248,004
4992 = 249,001
5002 = 250,000
5012 = 251,001
5022 = 252,004
5032 = 253,009
5042 = 254,016
5052 = 255,025
5062 = 256,036
5072 = 257,049
5082 = 258,064
5092 = 259,081
5102 = 260,100
5112 = 261,121
5122 = 262,144
5132 = 263,169
5142 = 264,196
5152 = 265,225
5162 = 266,256
5172 = 267,289
5182 = 268,324
5192 = 269,361
5202 = 270,400
5212 = 271,441
5222 = 272,484
5232 = 273,529
5242 = 274,576
5252 = 275,625
5262 = 276,676
5272 = 277,729
5282 = 278,784
5292 = 279,841
5302 = 280,900
5312 = 281,961
5322 = 283,024
5332 = 284,089
5342 = 285,156
5352 = 286,225
5362 = 287,296
5372 = 288,369
5382 = 289,444
5392 = 290,521
5402 = 291,600
5412 = 292,681
5422 = 293,764
5432 = 294,849
5442 = 295,936
5452 = 297,025
5462 = 298,116
5472 = 299,209
5482 = 300,304
5492 = 301,401
5502 = 302,500
5512 = 303,601
5522 = 304,704
5532 = 305,809
5542 = 306,916
5552 = 308,025
5562 = 309,136
5572 = 310,249
5582 = 311,364
5592 = 312,481
5602 = 313,600
5612 = 314,721
5622 = 315,844
5632 = 316,969
5642 = 318,096
5652 = 319,225
5662 = 320,356
5672 = 321,489
5682 = 322,624
5692 = 323,761
5702 = 324,900
5712 = 326,041
5722 = 327,184
5732 = 328,329
5742 = 329,476
5752 = 330,625
5762 = 331,776
5772 = 332,929
5782 = 334,084
5792 = 335,241
5802 = 336,400
5812 = 337,561
5822 = 338,724
5832 = 339,889
5842 = 341,056
5852 = 342,225
5862 = 343,396
5872 = 344,569
5882 = 345,744
5892 = 346,921
5902 = 348,100
5912 = 349,281
5922 = 350,464
5932 = 351,649
5942 = 352,836
5952 = 354,025
5962 = 355,216
5972 = 356,409
5982 = 357,604
5992 = 358,801
6002 = 360,000
6012 = 361,201
6022 = 362,404
6032 = 363,609
6042 = 364,816
6052 = 366,025
6062 = 367,236
6072 = 368,449
6082 = 369,664
6092 = 370,881
6102 = 372,100
6112 = 373,321
6122 = 374,544
6132 = 375,769
6142 = 376,996
6152 = 378,225
6162 = 379,456
6172 = 380,689
6182 = 381,924
6192 = 383,161
6202 = 384,400
6212 = 385,641
6222 = 386,884
6232 = 388,129
6242 = 389,376
6252 = 390,625
6262 = 391,876
6272 = 393,129
6282 = 394,384
6292 = 395,641
6302 = 396,900
6312 = 398,161
6322 = 399,424
6332 = 400,689
6342 = 401,956
6352 = 403,225
6362 = 404,496
6372 = 405,769
6382 = 407,044
6392 = 408,321
6402 = 409,600
6412 = 410,881
6422 = 412,164
6432 = 413,449
6442 = 414,736
6452 = 416,025
6462 = 417,316
6472 = 418,609
6482 = 419,904
6492 = 421,201
6502 = 422,500
6512 = 423,801
6522 = 425,104
6532 = 426,409
6542 = 427,716
6552 = 429,025
6562 = 430,336
6572 = 431,649
6582 = 432,964
6592 = 434,281
6602 = 435,600
6612 = 436,921
6622 = 438,244
6632 = 439,569
6642 = 440,896
6652 = 442,225
6662 = 443,556
6672 = 444,889
6682 = 446,224
6692 = 447,561
6702 = 448,900
6712 = 450,241
6722 = 451,584
6732 = 452,929
6742 = 454,276
6752 = 455,625
6762 = 456,976
6772 = 458,329
6782 = 459,684
6792 = 461,041
6802 = 462,400
6812 = 463,761
6822 = 465,124
6832 = 466,489
6842 = 467,856
6852 = 469,225
6862 = 470,596
6872 = 471,969
6882 = 473,344
6892 = 474,721
6902 = 476,100
6912 = 477,481
6922 = 478,864
6932 = 480,249
6942 = 481,636
6952 = 483,025
6962 = 484,416
6972 = 485,809
6982 = 487,204
6992 = 488,601
7002 = 490,000
7012 = 491,401
7022 = 492,804
7032 = 494,209
7042 = 495,616
7052 = 497,025
7062 = 498,436
7072 = 499,849
7082 = 501,264
7092 = 502,681
7102 = 504,100
7112 = 505,521
7122 = 506,944
7132 = 508,369
7142 = 509,796
7152 = 511,225
7162 = 512,656
7172 = 514,089
7182 = 515,524
7192 = 516,961
7202 = 518,400
7212 = 519,841
7222 = 521,284
7232 = 522,729
7242 = 524,176
7252 = 525,625
7262 = 527,076
7272 = 528,529
7282 = 529,984
7292 = 531,441
7302 = 532,900
7312 = 534,361
7322 = 535,824
7332 = 537,289
7342 = 538,756
7352 = 540,225
7362 = 541,696
7372 = 543,169
7382 = 544,644
7392 = 546,121
7402 = 547,600
7412 = 549,081
7422 = 550,564
7432 = 552,049
7442 = 553,536
7452 = 555,025
7462 = 556,516
7472 = 558,009
7482 = 559,504
7492 = 561,001
7502 = 562,500
7512 = 564,001
7522 = 565,504
7532 = 567,009
7542 = 568,516
7552 = 570,025
7562 = 571,536
7572 = 573,049
7582 = 574,564
7592 = 576,081
7602 = 577,600
7612 = 579,121
7622 = 580,644
7632 = 582,169
7642 = 583,696
7652 = 585,225
7662 = 586,756
7672 = 588,289
7682 = 589,824
7692 = 591,361
7702 = 592,900
7712 = 594,441
7722 = 595,984
7732 = 597,529
7742 = 599,076
7752 = 600,625
7762 = 602,176
7772 = 603,729
7782 = 605,284
7792 = 606,841
7802 = 608,400
7812 = 609,961
7822 = 611,524
7832 = 613,089
7842 = 614,656
7852 = 616,225
7862 = 617,796
7872 = 619,369
7882 = 620,944
7892 = 622,521
7902 = 624,100
7912 = 625,681
7922 = 627,264
7932 = 628,849
7942 = 630,436
7952 = 632,025
7962 = 633,616
7972 = 635,209
7982 = 636,804
7992 = 638,401
8002 = 640,000
8012 = 641,601
8022 = 643,204
8032 = 644,809
8042 = 646,416
8052 = 648,025
8062 = 649,636
8072 = 651,249
8082 = 652,864
8092 = 654,481
8102 = 656,100
8112 = 657,721
8122 = 659,344
8132 = 660,969
8142 = 662,596
8152 = 664,225
8162 = 665,856
8172 = 667,489
8182 = 669,124
8192 = 670,761
8202 = 672,400
8212 = 674,041
8222 = 675,684
8232 = 677,329
8242 = 678,976
8252 = 680,625
8262 = 682,276
8272 = 683,929
8282 = 685,584
8292 = 687,241
8302 = 688,900
8312 = 690,561
8322 = 692,224
8332 = 693,889
8342 = 695,556
8352 = 697,225
8362 = 698,896
8372 = 700,569
8382 = 702,244
8392 = 703,921
8402 = 705,600
8412 = 707,281
8422 = 708,964
8432 = 710,649
8442 = 712,336
8452 = 714,025
8462 = 715,716
8472 = 717,409
8482 = 719,104
8492 = 720,801
8502 = 722,500
8512 = 724,201
8522 = 725,904
8532 = 727,609
8542 = 729,316
8552 = 731,025
8562 = 732,736
8572 = 734,449
8582 = 736,164
8592 = 737,881
8602 = 739,600
8612 = 741,321
8622 = 743,044
8632 = 744,769
8642 = 746,496
8652 = 748,225
8662 = 749,956
8672 = 751,689
8682 = 753,424
8692 = 755,161
8702 = 756,900
8712 = 758,641
8722 = 760,384
8732 = 762,129
8742 = 763,876
8752 = 765,625
8762 = 767,376
8772 = 769,129
8782 = 770,884
8792 = 772,641
8802 = 774,400
8812 = 776,161
8822 = 777,924
8832 = 779,689
8842 = 781,456
8852 = 783,225
8862 = 784,996
8872 = 786,769
8882 = 788,544
8892 = 790,321
8902 = 792,100
8912 = 793,881
8922 = 795,664
8932 = 797,449
8942 = 799,236
8952 = 801,025
8962 = 802,816
8972 = 804,609
8982 = 806,404
8992 = 808,201
9002 = 810,000
9012 = 811,801
9022 = 813,604
9032 = 815,409
9042 = 817,216
9052 = 819,025
9062 = 820,836
9072 = 822,649
9082 = 824,464
9092 = 826,281
9102 = 828,100
9112 = 829,921
9122 = 831,744
9132 = 833,569
9142 = 835,396
9152 = 837,225
9162 = 839,056
9172 = 840,889
9182 = 842,724
9192 = 844,561
9202 = 846,400
9212 = 848,241
9222 = 850,084
9232 = 851,929
9242 = 853,776
9252 = 855,625
9262 = 857,476
9272 = 859,329
9282 = 861,184
9292 = 863,041
9302 = 864,900
9312 = 866,761
9322 = 868,624
9332 = 870,489
9342 = 872,356
9352 = 874,225
9362 = 876,096
9372 = 877,969
9382 = 879,844
9392 = 881,721
9402 = 883,600
9412 = 885,481
9422 = 887,364
9432 = 889,249
9442 = 891,136
9452 = 893,025
9462 = 894,916
9472 = 896,809
9482 = 898,704
9492 = 900,601
9502 = 902,500
9512 = 904,401
9522 = 906,304
9532 = 908,209
9542 = 910,116
9552 = 912,025
9562 = 913,936
9572 = 915,849
9582 = 917,764
9592 = 919,681
9602 = 921,600
9612 = 923,521
9622 = 925,444
9632 = 927,369
9642 = 929,296
9652 = 931,225
9662 = 933,156
9672 = 935,089
9682 = 937,024
9692 = 938,961
9702 = 940,900
9712 = 942,841
9722 = 944,784
9732 = 946,729
9742 = 948,676
9752 = 950,625
9762 = 952,576
9772 = 954,529
9782 = 956,484
9792 = 958,441
9802 = 960,400
9812 = 962,361
9822 = 964,324
9832 = 966,289
9842 = 968,256
9852 = 970,225
9862 = 972,196
9872 = 974,169
9882 = 976,144
9892 = 978,121
9902 = 980,100
9912 = 982,081
9922 = 984,064
9932 = 986,049
9942 = 988,036
9952 = 990,025
9962 = 992,016
9972 = 994,009
9982 = 996,004
9992 = 998,001
10002 = 1,000,000
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