5504
55042 = (32 + 7)(52 + 7)(62 + 7)(372 + 7).
Page of Squares : First Upload December 28, 2013 ; Last Revised December 28, 2013by Yoshio Mimura, Kobe. Japan
5506
55062 = 30316036, and 302 + 312 + 602 + 32 + 62.
55062 = 30316036, 32 + 02 + 32 + 12 + 62 + 02 + 32 + 62 = 102.
Page of Squares : First Upload December 10, 2007 ; Last Revised November 25, 2008by Yoshio Mimura, Kobe. Japan
5508
55082 = (12 + 8)(22 + 8)(142 + 8)(372 + 8) = (12 + 8)(22 + 8)(5302 + 8)
= (102 + 8)(142 + 8)(372 + 8) = (102 + 8)(5302 + 8) = (22 + 2)(42 + 2)(222 + 2)(242 + 2)
= (22 + 8)(32 + 8)(102 + 8)(372 + 8).
55082 = 723 + 1293 + 3033 = 903 + 2183 + 2683 = 2073 + 2163 + 2253
= 124 + 244 + 424 + 724 = 184 + 364 + 364 + 724 = 284 + 424 + 564 + 644.
by Yoshio Mimura, Kobe. Japan
5511
55112 = 1783 + 1853 + 2643.
Page of Squares : First Upload September 18, 2008 ; Last Revised September 18, 2008by Yoshio Mimura, Kobe. Japan
5514
55142 = 30404196, a zigzag square.
The square root of 74.2563...., and 74 = 22 + 52 + 62 + 32.
Page of Squares : First Upload December 10, 2007 ; Last Revised December 10, 2007by Yoshio Mimura, Kobe. Japan
5516
46k + 170k + 202k + 258k are squares for k = 1,2,3 (262, 3722, 55162).
Page of Squares : First Upload June 21, 2011 ; Last Revised June 21, 2011by Yoshio Mimura, Kobe. Japan
5517
55172 = 573 + 2283 + 2643.
Page of Squares : First Upload September 18, 2008 ; Last Revised September 18, 2008by Yoshio Mimura, Kobe. Japan
5518
55182 = 733 + 1043 + 3073.
Page of Squares : First Upload September 18, 2008 ; Last Revised September 18, 2008by Yoshio Mimura, Kobe. Japan
5520
55202 = (22 - 1)(32 - 1)(242 - 1)(472 - 1) = (52 - 1)(242 - 1)(472 - 1).
Page of Squares : First Upload December 28, 2013 ; Last Revised December 28, 2013by Yoshio Mimura, Kobe. Japan
5522
55225 = 5134309107467193632 : 52 + 12 + 32 + 42 + 32 + 02 + 92 + 102 + 72 + 42 + 62 + 712 + 92 + 32 + 62 + 32 + 22 = 5522.
Page of Squares : First Upload December 8, 2008 ; Last Revised December 8, 2008by Yoshio Mimura, Kobe. Japan
5525
55252 = (82 + 1)(182 + 1)(382 + 1).
Loop of length 56 by the function f(N) = ... + c2 + b2 + a2 where N = ... + 1002c + 100b + a:
5525 - 3650 - 3796 - 10585 - ... - 6817 - 4913 - 2570 - 5525
(Note f(5525) = 552 + 252 = 3650, f(3650) = 362 + 502 = 3796, etc. See 41)
by Yoshio Mimura, Kobe. Japan
5526
55262 = 30536676, 305 * 3 * 6 + 6 * 7 - 6 = 305 * 3 * 6 - 6 + 7 * 6 = 5526.
Page of Squares : First Upload December 10, 2007 ; Last Revised December 10, 2007by Yoshio Mimura, Kobe. Japan
5529
55292 = 63 + 1303 + 3053.
55292 = 30569841, a sqaure with different digits.
55292 = 30569841, 3 * 0 + 56 * 98 + 41 = 5529.
55292± 2 are primes.
55294 = 934515178765281, and 92 + 32 + 42 + 52 + 152 + 12 + 72 + 82 + 72 + 652 + 282 + 12 = 5529.
Page of Squares : First Upload December 10, 2007 ; Last Revised December 29, 2013by Yoshio Mimura, Kobe. Japan
5530
55302 = (22 + 6)(82 + 6)(2092 + 6).
55302 = 542 x 543 + 544 x 545 + 546 x 547 + 548 x 549 + ... + 698 x 699.
Page of Squares : First Upload December 10, 2007 ; Last Revised December 28, 2013by Yoshio Mimura, Kobe. Japan
5531
55312 = 813 + 2243 + 2663.
Page of Squares : First Upload September 18, 2008 ; Last Revised September 18, 2008by Yoshio Mimura, Kobe. Japan
5535
55352 = 30636225, 306 * 3 * 6 + 2 + 25 = 306 * 3 * 6 + 22 + 5 = 5535.
Page of Squares : First Upload December 10, 2007 ; Last Revised December 10, 2007by Yoshio Mimura, Kobe. Japan
5536
55362 = 243 + 643 + 3123 = 973 + 2263 + 2633.
55362 = 30647296, a zigzag square.
Page of Squares : First Upload December 10, 2007 ; Last Revised September 18, 2008by Yoshio Mimura, Kobe. Japan
5540
95540955409 = 3090972.
Page of Squares : First Upload December 10, 2007 ; Last Revised December 10, 2007by Yoshio Mimura, Kobe. Japan
5541
The square root of 5541 is 74.437...., and 74 = 42 + 32 + 72.
Page of Squares : First Upload December 10, 2007 ; Last Revised December 10, 2007by Yoshio Mimura, Kobe. Japan
5542
55422 = 34 + 94 + 574 + 674.
55422 = 30713764, 32 + 02 + 72 + 12 + 32 + 72 + 62 + 42 = 132.
Page of Squares : First Upload December 10, 2007 ; Last Revised September 18, 2008by Yoshio Mimura, Kobe. Japan
5544
55442 = (102 - 1)(132 - 1)(432 - 1) = (32 - 1)(102 - 1)(1972 - 1).
852 + 5544 = 1132, 852 - 5544 = 412.
The integral triangle of sides 10549, 12322, 22185 has square area 55442.
Page of Squares : First Upload August 2, 2011 ; Last Revised December 28, 2013by Yoshio Mimura, Kobe. Japan
5545
55452 = 373 + 2213 + 2713.
Page of Squares : First Upload September 18, 2008 ; Last Revised September 18, 2008by Yoshio Mimura, Kobe. Japan
5549
5549 = (12 + 22 + 32 + ... + 8052) / (12 + 22 + 32 + ... + 452).
Page of Squares : First Upload November 25, 2008 ; Last Revised November 25, 2008by Yoshio Mimura, Kobe. Japan
5550
55502 = (12 + 9)(42 + 9)(182 + 9)(192 + 9) = (12 + 9)(42 + 9)(3512 + 9).
Page of Squares : First Upload December 28, 2013 ; Last Revised December 28, 2013by Yoshio Mimura, Kobe. Japan
5552
55522 = 343 + 1483 + 3023.
Page of Squares : First Upload September 18, 2008 ; Last Revised September 18, 2008by Yoshio Mimura, Kobe. Japan
5554
55542± 3 are primes.
1 / 5554 = 0.00018005041411595, 182 + 0052 + 042 + 12 + 412 + 12 + 592 + 52 = 5554,
1 / 5554 = 0.00018005041411595, 182 + 0052 + 0412 + 42 + 12 + 12 + 592 + 52 = 5554.
by Yoshio Mimura, Kobe. Japan
5556
55562 = 823 + 2363 + 2583.
55562 = 30869136, 30 + 8 * 6 + 913 * 6 = 5556.
Page of Squares : First Upload December 10, 2007 ; Last Revised September 18, 2008by Yoshio Mimura, Kobe. Japan
5559
55592 = 473 + 1093 + 3093.
Page of Squares : First Upload September 18, 2008 ; Last Revised September 18, 2008by Yoshio Mimura, Kobe. Japan
5561
55612 = 283 + 813 + 3123.
The square root of 5561 is 74.57...., and 74 = 52 + 72.
Page of Squares : First Upload December 10, 2007 ; Last Revised September 18, 2008by Yoshio Mimura, Kobe. Japan
5562
55622 = 394 + 394 + 574 + 634.
The square root of 5562 is 74.57...., and 74 = 52 + 72.
Page of Squares : First Upload December 10, 2007 ; Last Revised September 18, 2008by Yoshio Mimura, Kobe. Japan
5563
55632 = 75 + 85 + 115 + 235 + 305.
Page of Squares : First Upload September 18, 2008 ; Last Revised September 18, 2008by Yoshio Mimura, Kobe. Japan
5564
55642 = 30958096, a zigzag.
Page of Squares : First Upload December 10, 2007 ; Last Revised December 10, 2007by Yoshio Mimura, Kobe. Japan
5567
55672 = 344 + 364 + 484 + 694.
55675 = 5346949797563452607 : 52 + 32 + 42 + 62 + 92 + 492 + 72 + 92 + 72 + 52 + 62 + 32 + 452 + 262 + 02 + 72 = 5567.
Page of Squares : First Upload September 18, 2008 ; Last Revised December 8, 2008by Yoshio Mimura, Kobe. Japan
5568
55682 = 1443 + 2243 + 2563.
Page of Squares : First Upload September 18, 2008 ; Last Revised September 18, 2008by Yoshio Mimura, Kobe. Japan
5569
1 / 5569 = 0.00017956, and 17956 = 1342.
Page of Squares : First Upload December 10, 2007 ; Last Revised December 10, 2007by Yoshio Mimura, Kobe. Japan
5570
The square root of 5570 is 74.63243...., and 74 = 62 + 32 + 22 + 42 + 32.
55702 = 4552 + 4572 + 4592 + 4612 + 4632 + ... + 6532.
Page of Squares : First Upload December 10, 2007 ; Last Revised December 10, 2007by Yoshio Mimura, Kobe. Japan
5571
55712 = 1283 + 1773 + 2863.
55715 = 5366186869952956851 : 52 + 362 + 62 + 182 + 62 + 82 + 62 + 92 + 92 + 52 + 292 + 52 + 62 + 82 + 512 = 5571.
Page of Squares : First Upload September 18, 2008 ; Last Revised December 8, 2008by Yoshio Mimura, Kobe. Japan
5576
55762 = 2003 + 2243 + 2283.
Page of Squares : First Upload September 18, 2008 ; Last Revised September 18, 2008by Yoshio Mimura, Kobe. Japan
5579
55792 = 703 + 1883 + 2893.
Page of Squares : First Upload September 18, 2008 ; Last Revised September 18, 2008by Yoshio Mimura, Kobe. Japan
5582
55822 = 31158724, 32 + 12 + 12 + 52 + 82 + 72 + 22 + 42 = 132.
Page of Squares : First Upload December 10, 2007 ; Last Revised December 10, 2007by Yoshio Mimura, Kobe. Japan
5583
55832 = 24 + 534 + 544 + 624.
1 / 5583 = 0.00017911517105, 172 + 92 + 112 + 52 + 12 + 712 + 02 + 52 = 5583,
1 / 5583 = 0.00017911517105, 172 + 92 + 112 + 52 + 12 + 712 + 052 = 5583.
55835 = 5424230535860368143 : 542 + 22 + 42 + 232 + 02 + 52 + 32 + 52 + 82 + 62 + 02 + 32 + 62 + 82 + 12 + 432 = 5583.
Page of Squares : First Upload December 10, 2007 ; Last Revised December 8, 2008by Yoshio Mimura, Kobe. Japan
5584
55842 = 1523 + 1883 + 2763.
Page of Squares : First Upload September 18, 2008 ; Last Revised September 18, 2008by Yoshio Mimura, Kobe. Japan
5585
55853 = 174208576625, and 12 + 72 + 42 + 202 + 82 + 52 + 72 + 662 + 252 = 5585.
Page of Squares : First Upload December 1, 2008 ; Last Revised December 1, 2008by Yoshio Mimura, Kobe. Japan
5586
55862 = 31203396, 31 * 20 * 3 / 3 * 9 + 6 = 31 * 20 / 3 * 3 * 9 + 6 = 5586.
The integral triangle of sides 3770, 17833, 19551 has square area 55862.
Komachi equations:
55862 = 982 * 762 * 52 / 42 * 32 * 22 / 102 = 982 * 762 / 52 / 42 * 32 / 22 * 102.
by Yoshio Mimura, Kobe. Japan
5587
55872 = 37 + 57 + 77 + 77 + 107 + 117.
Page of Squares : First Upload September 18, 2008 ; Last Revised September 18, 2008by Yoshio Mimura, Kobe. Japan
5588
55882 = 1323 + 2223 + 2623.
The square root of 5588 is 74.75...., and 74 = 72 + 52.
Page of Squares : First Upload December 10, 2007 ; Last Revised September 18, 2008by Yoshio Mimura, Kobe. Japan
5589
The square root of 5589 is 74.75...., and 74 = 72 + 52.
Page of Squares : First Upload December 10, 2007 ; Last Revised December 10, 2007by Yoshio Mimura, Kobe. Japan
5595
55952 = 31304025, 32 + 12 + 32 + 02 + 42 + 02 + 22 + 52 = 82.
Page of Squares : First Upload December 10, 2007 ; Last Revised December 10, 2007by Yoshio Mimura, Kobe. Japan
5597
The square root of 5597 is 74.813...., and 74 = 82 + 12 + 32.
Page of Squares : First Upload December 10, 2007 ; Last Revised December 10, 2007by Yoshio Mimura, Kobe. Japan
5598
55984 = 982045424460816, and 92 + 82 + 202 + 452 + 42 + 242 + 462 + 02 + 82 + 162 = 5598.
Page of Squares : First Upload December 1, 2008 ; Last Revised December 1, 2008by Yoshio Mimura, Kobe. Japan