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congruent numbers
A number which is the area of a right triangle with rational sides. more

The first 600 congruent numbers :
5, 6, 7, 13, 14, 15, 20, 21, 22, 23, 24, 28, 29, 30, 31, 34, 37, 38, 39, 41, 45, 46, 47, 52, 53, 54, 55, 56, 60, 61, 62, 63, 65, 69, 70, 71, 77, 78, 79, 80, 84, 85, 86, 87, 88, 92, 93, 94, 95, 96, 101, 102, 103, 109, 110, 111, 112, 116, 117, 118, 119, 120, 124, 125, 126, 127, 133, 134, 135, 136, 137, 138, 141, 142, 143, 145, 148, 149, 150, 151, 152, 154, 156, 157, 158, 159, 161, 164, 165, 166, 167, 173, 174, 175, 180, 181, 182, 183, 184, 188, 189, 190, 191, 194, 197, 198, 199, 205, 206, 207, 208, 210, 212, 213, 214, 215, 216, 219, 220, 221, 222, 223, 224, 226, 229, 230, 231, 237, 238, 239, 240, 244, 245, 246, 247, 248, 252, 253, 254, 255, 257, 260, 261, 262, 263, 265, 269, 270, 271, 276, 277, 278, 279, 280, 284, 285, 286, 287, 291, 293, 294, 295, 299, 301, 302, 303, 306, 308, 309, 310, 311, 312, 313, 316, 317, 318, 319, 320, 323, 325, 326, 327, 330, 333, 334, 335, 336, 340, 341, 342, 343, 344, 348, 349, 350, 351, 352, 353, 357, 358, 359, 365, 366, 367, 368, 369, 371, 372, 373, 374, 375, 376, 380, 381, 382, 383, 384, 386, 389, 390, 391, 395, 397, 398, 399, 404, 405, 406, 407, 408, 410, 412, 413, 414, 415, 421, 422, 423, 426, 429, 430, 431, 434, 436, 437, 438, 439, 440, 442, 444, 445, 446, 447, 448, 453, 454, 455, 457, 461, 462, 463, 464, 465, 468, 469, 470, 471, 472, 476, 477, 478, 479, 480, 485, 486, 487, 493, 494, 495, 496, 500, 501, 502, 503, 504, 505, 508, 509, 510, 511, 514, 517, 518, 519, 525, 526, 527, 532, 533, 534, 535, 536, 540, 541, 542, 543, 544, 546, 548, 549, 550, 551, 552, 557, 558, 559, 561, 564, 565, 566, 567, 568, 572, 573, 574, 575, 580, 581, 582, 583, 585, 589, 590, 591, 592, 596, 597, 598, 599, 600, 602, 604, 605, 606, 607, 608, 609, 613, 614, 615, 616, 621, 622, 623, 624, 628, 629, 630, 631, 632, 636, 637, 638, 639, 644, 645, 646, 647, 651, 653, 654, 655, 656, 658, 660, 661, 662, 663, 664, 668, 669, 670, 671, 674, 677, 678, 679, 685, 686, 687, 689, 692, 693, 694, 695, 696, 700, 701, 702, 703, 709, 710, 711, 717, 718, 719, 720, 721, 723, 724, 725, 726, 727, 728, 731, 732, 733, 734, 735, 736, 741, 742, 743, 749, 750, 751, 752, 756, 757, 758, 759, 760, 761, 764, 765, 766, 767, 773, 774, 775, 776, 777, 781, 782, 783, 788, 789, 790, 791, 792, 793, 796, 797, 798, 799, 805, 806, 807, 813, 814, 815, 820, 821, 822, 823, 824, 828, 829, 830, 831, 832, 837, 838, 839, 840, 845, 846, 847, 848, 850, 852, 853, 854, 855, 856, 860, 861, 862, 863, 864, 866, 869, 870, 871, 876, 877, 878, 879, 880, 884, 885, 886, 887, 888, 889, 890, 892, 893, 894, 895, 896, 901, 902, 903, 904, 905, 909, 910, 911, 915, 916, 917, 918, 919, 920, 924, 925, 926, 927, 933, 934, 935, 941, 942, 943, 948, 949, 950, 951, 952, 956, 957, 958, 959, 960, 965, 966, 967, 973, 974, 975, 976, 980, 981, 982, 983, 984, 985, 987, 988, 989, 990, 991, 992, 995, 997, 998, 999, 1003, 1005, 1006, 1007, 1008, 1012, 1013, 1014, 1015, 1016, 1020, 1021, 1022, 1023, 1025, 1028, 1029, 1030, 1031, 1037, 1038, 1039, 1040, 1044, 1045, 1046, 1047, 1048, 1052, 1053, 1054, 1055.

Distribution of the remainders when the numbers in this family are divided by n=2, 3,..., 11. (I took into account 5410361 values, from 5 to 9999999).

n\r 0  1 
227252932685068 2 
3182998517905721789804 3 
41370461135751813548321327550 4 
511179641085801106054410601741085878 5 
6923391889487900817906594901085888987 6 
7807086767159767116767133766934767536767397 7 
869074610751810483277550679715125000012500001250000 8 
9613997596972596732610137596776596421605851596824596651 9 
10563765538581533363526893547664554199547220527181533281538214 10 
11504913490604490336490647490416490331490580490529490692490625490688

A pictorial representation of the table above
motab
Imagine to divide the members of this family by a number n and compute the remainders. Should they be uniformly distributed, each remainder from 0 to n-1 would be obtained in about (1/n)-th of the cases. This outcome is represented by a white square. Reddish (resp. bluish) squares represent remainders which appear more (resp. less) frequently than 1/n.