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5900 - 5999

5901

59012 = 1613 + 2163 + 2743 = 1853 + 2323 + 2523.

59015 = 7155303724638129501 : 72 + 12 + 52 + 52 + 302 + 32 + 72 + 22 + 42 + 62 + 382 + 12 + 292 + 502 + 12 = 5901.

Page of Squares : First Upload September 22, 2008 ; Last Revised December 8, 2008
by Yoshio Mimura, Kobe, Japan

5904

59042 = (42 + 8)(82 + 8)(1422 + 8).

59042 = 404 + 404 + 604 + 644.

59042 = 34857216, a square with different digits.

59042 = 34857216, 3 * 48 + 5 * 72 * 16 = 5904.

Page of Squares : First Upload January 15, 2008 ; Last Revised December 28, 2013
by Yoshio Mimura, Kobe, Japan

5905

59052 = 34869025, a square with different digits.

The quadratic polynomial 5905X2 - 27230X + 34321 takes the values 1142, 592, 762, 1412, 2142, 2892 at X = 1, 2,..., 6,

Page of Squares : First Upload January 15, 2008 ; Last Revised December 15, 2008
by Yoshio Mimura, Kobe, Japan

5907

59072 = 1313 + 2253 + 2773.

59072 = 34892649, 3 + 489 * 2 * 6 + 4 * 9 = 5907.

330k + 1353k + 4026k + 4092k are squares for k = 1,2,3 (992, 59072, 3691712).

Page of Squares : First Upload January 15, 2008 ; Last Revised June 24, 2011
by Yoshio Mimura, Kobe, Japan

5908

59082 = 34904464, 3 * 490 * 4 + 4 + 6 * 4 = 3 * 490 * 4 + 4 * 6 + 4 = 5908.

Page of Squares : First Upload January 15, 2008 ; Last Revised January 15, 2008
by Yoshio Mimura, Kobe, Japan

5910

59105 = 7210035522395100000 : 72 + 22 + 12 + 02 + 02 + 352 + 52 + 222 + 392 + 512 + 02 + 02 + 02 + 02 + 02 = 5910.

Page of Squares : First Upload December 8, 2008 ; Last Revised December 8, 2008
by Yoshio Mimura, Kobe, Japan

5911

59112 = 76 + 126 + 146 + 146 + 166.

Page of Squares : First Upload September 22, 2008 ; Last Revised September 22, 2008
by Yoshio Mimura, Kobe, Japan

5913

59132 = 44 + 324 + 544 + 714 = 364 + 484 + 484 + 694.

Komachi equations:
59132 = 92 * 8762 * 52 / 42 * 32 * 22 / 102 = 92 * 8762 / 52 / 42 * 32 / 22 * 102.

Page of Squares : First Upload September 22, 2008 ; Last Revised October 25, 2010
by Yoshio Mimura, Kobe, Japan

5914

59142 = 1593 + 1653 + 2983 = 2003 + 2353 + 2413.

Page of Squares : First Upload September 22, 2008 ; Last Revised September 22, 2008
by Yoshio Mimura, Kobe, Japan

5915

59152 = 34987225, 3 * 4 * 987 / 2 - 2 - 5 = 5915.

Page of Squares : First Upload January 15, 2008 ; Last Revised January 15, 2008
by Yoshio Mimura, Kobe, Japan

5917

59172 = 95 + 105 + 125 + 165 + 325.

Loop of length 5 :   5917 --- 592 + 172 = 3770 -- 372 + 702 = 6269 --- 622 + 692 = 8605 --- 862 + 052 = 7421 --- 742 + 212 = 5917

Page of Squares : First Upload September 22, 2008 ; Last Revised October 9, 2008
by Yoshio Mimura, Kobe, Japan

5919

59192 = 35034561, 32 + 52 + 02 + 32 + 42 + 52 + 62 + 12 = 112.

Page of Squares : First Upload January 15, 2008 ; Last Revised January 15, 2008
by Yoshio Mimura, Kobe, Japan

5921

59212 = 1213 + 2463 + 2643.

59212 = 35058241, 32 + 52 + 02 + 52 + 82 + 22 + 42 + 12 = 122.

Page of Squares : First Upload January 15, 2008 ; Last Revised September 22, 2008
by Yoshio Mimura, Kobe, Japan

5922

59222 = (12 + 5)(42 + 5)(182 + 5)(292 + 5) = (112 + 5)(182 + 5)(292 + 5)
= (22 + 5)(32 + 5)(182 + 5)(292 + 5).

5922k + 95410k + 151998k + 179634k are squares for k = 1,2,3 (6582, 2539882, 1008806122).

Komachi equations:
59222 = 9872 / 62 * 542 / 32 * 22 */ 12.

Page of Squares : First Upload October 25, 2010 ; Last Revised December 28, 2013
by Yoshio Mimura, Kobe, Japan

5923

59232 = 253 + 1523 + 3163 = 833 + 1273 + 3193.

59232 = 35081929, a zigzag square.

Page of Squares : First Upload January 15, 2008 ; Last Revised September 22, 2008
by Yoshio Mimura, Kobe, Japan

5926

59262 = 35117476, 351 * 17 - 47 + 6 = 5926.

Page of Squares : First Upload January 15, 2008 ; Last Revised January 15, 2008
by Yoshio Mimura, Kobe, Japan

5928

59282 = (12 + 3)(32 + 3)(62 + 3)(1372 + 3) = (12 + 3)(42 + 3)(152 + 3)(452 + 3)
= (12 + 3)(42 + 3)(62 + 3)(72 + 3)(152 + 3).

59282 = 163 + 1043 + 3243 = 783 + 1463 + 3163.

Komachi equation: 59282 = 12 / 22 * 32 * 4562 * 782 / 92.

Page of Squares : First Upload September 22, 2008 ; Last Revised December 28, 2013
by Yoshio Mimura, Kobe, Japan

5929

The square of 77.

Page of Squares : First Upload January 15, 2008 ; Last Revised January 15, 2008
by Yoshio Mimura, Kobe, Japan

5934

59342 = (82 + 5)(92 + 5)(772 + 5).

59342 = 1313 + 1323 + 3133.

Page of Squares : First Upload September 22, 2008 ; Last Revised December 28, 2013
by Yoshio Mimura, Kobe, Japan

5935

59355 = 7363827669358459375 : 72 + 32 + 62 + 32 + 82 + 22 + 72 + 62 + 62 + 92 + 32 + 582 + 452 + 92 + 32 + 72 + 52 = 5935.

Page of Squares : First Upload December 8, 2008 ; Last Revised December 8, 2008
by Yoshio Mimura, Kobe, Japan

5936

59362 = 1263 + 1943 + 2963.

Page of Squares : First Upload September 22, 2008 ; Last Revised September 22, 2008
by Yoshio Mimura, Kobe, Japan

5937

59372 = 24 + 124 + 614 + 684.

Page of Squares : First Upload September 22, 2008 ; Last Revised September 22, 2008
by Yoshio Mimura, Kobe, Japan

5938

59382 = 174 + 374 + 534 + 714.

Page of Squares : First Upload September 22, 2008 ; Last Revised September 22, 2008
by Yoshio Mimura, Kobe, Japan

5940

59402 = (102 - 1)(232 - 1)(262 - 1) = (22 - 1)(42 - 1)(102 - 1)(892 - 1).

59402 = 813 + 2313 + 2823 = 1763 + 2103 + 2743.

786k + 1614k + 3882k + 4122k are squares for k = 1,2,3 (1022, 59402, 3650042).

Page of Squares : First Upload September 22, 2008 ; Last Revised December 28, 2013
by Yoshio Mimura, Kobe, Japan

5941

59412 = 35295481, 32 + 52 + 22 + 92 + 52 + 42 + 82 + 12 = 152.

Page of Squares : First Upload January 15, 2008 ; Last Revised January 15, 2008
by Yoshio Mimura, Kobe, Japan

5943

59432 = 224 + 364 + 434 + 744.

Page of Squares : First Upload September 22, 2008 ; Last Revised September 22, 2008
by Yoshio Mimura, Kobe, Japan

5944

59442 = 35331136, a square with odd digits except the last digit 6.

Page of Squares : First Upload August 24, 2013 ; Last Revised August 24, 2013
by Yoshio Mimura, Kobe, Japan

5945

2291k + 2465k + 2755k + 5945k are squares for k = 1,2,3 (1162, 73662, 5079642).

Page of Squares : First Upload June 24, 2011 ; Last Revised June 24, 2011
by Yoshio Mimura, Kobe, Japan

5946

59462 = 493 + 1073 + 3243.

59462 = 35354916, a zigzag square.

1 / N = 0.0001681...., and 1681 = 412 for N = 5946, 5947, 5948.

Page of Squares : First Upload January 15, 2008 ; Last Revised September 22, 2008
by Yoshio Mimura, Kobe, Japan

5948

59482 = 33 + 453 + 3283 = 164 + 284 + 344 + 764.

Page of Squares : First Upload September 22, 2008 ; Last Revised September 22, 2008
by Yoshio Mimura, Kobe, Japan

5949

59492 = 253 + 903 + 3263 = 573 + 2063 + 2983.

59492 = 35390601, a zigzag square.

Page of Squares : First Upload January 15, 2008 ; Last Revised September 22, 2008
by Yoshio Mimura, Kobe, Japan

5950

59502 = 559 x 560 + 561 x 562 + 563 x 564 + 565 x 566 + 567 x 568 + ... + 727 x 728.

Page of Squares : First Upload January 15, 2008 ; Last Revised January 15, 2008
by Yoshio Mimura, Kobe, Japan

5954

1898k + 4862k + 5954k + 20410k are squares for k = 1,2,3 (1822, 218922, 29723722).

Page of Squares : First Upload June 24, 2011 ; Last Revised June 24, 2011
by Yoshio Mimura, Kobe, Japan

5956

59562 = 35473936, a zigzag square.

Page of Squares : First Upload January 15, 2008 ; Last Revised January 15, 2008
by Yoshio Mimura, Kobe, Japan

5957

59572 = 35485849, a zigzag square.

Page of Squares : First Upload January 15, 2008 ; Last Revised January 15, 2008
by Yoshio Mimura, Kobe, Japan

5961

59614 = 1262631114657441, and 12 + 22 + 62 + 22 + 62 + 32 + 112 + 142 + 62 + 52 + 742 + 42 + 12 = 5961.

Page of Squares : First Upload December 1, 2008 ; Last Revised December 1, 2008
by Yoshio Mimura, Kobe, Japan

5962

59622 = 663 + 1733 + 3113.

59622 = 35545444, a square consisting of just 3 kinds of digits.

59625 = 7532859348554844832 : 72 + 52 + 322 + 82 + 52 + 92 + 342 + 82 + 52 + 52 + 42 + 82 + 42 + 482 + 322 = 72 + 52 + 322 + 82 + 52 + 92 + 342 + 82 + 52 + 52 + 482 + 42 + 42 + 82 + 322 = 5962.

Page of Squares : First Upload January 15, 2008 ; Last Revised December 8, 2008
by Yoshio Mimura, Kobe, Japan

5963

59632 = 123 + 2333 + 2843.

59632 = 35557369, 35 * 5 * 5 * 7 - 3 * 6 * 9 = 5963.

Page of Squares : First Upload January 15, 2008 ; Last Revised September 22, 2008
by Yoshio Mimura, Kobe, Japan

5964

59642± 5 are primes.

59642= 672 x 673 + 673 x 674 + 674 x 675 + 675 x 676 + ...+ 742 x 743.

59645 = 7545502614168013824 : 72 + 52 + 452 + 502 + 22 + 62 + 142 + 162 + 82 + 02 + 132 + 82 + 242 = 5964.

Page of Squares : First Upload January 15, 2008 ; Last Revised January 18, 2014
by Yoshio Mimura, Kobe, Japan

5965

59652 = 35581225, 3 * 5 * 5 * 81 - 22 * 5 = 5965.

5965 = 772 + 062 and 7706 = 592 + 652.

Page of Squares : First Upload January 15, 2008 ; Last Revised October 9, 2008
by Yoshio Mimura, Kobe, Japan

5966

59662 = 35593156, a square with odd digits except the last digit 6.

59662 = 1183 + 1573 + 3113.

Page of Squares : First Upload September 22, 2008 ; Last Revised August 24, 2013
by Yoshio Mimura, Kobe, Japan

5968

59682 = 35617024, a square with different digits.

59682 = (52 + 7)(10552 + 7).

59682 = 913 + 1653 + 3123.

Page of Squares : First Upload January 15, 2008 ; Last Revised December 28, 2013
by Yoshio Mimura, Kobe, Japan

5969

59692 = 35628961, 32 + 52 + 62 + 22 + 82 + 92 + 62 + 12 = 162.

Page of Squares : First Upload January 15, 2008 ; Last Revised January 15, 2008
by Yoshio Mimura, Kobe, Japan

5970

5970 = (12 + 22 + 32 + ... + 992) / (12 + 22 + 32 + 42 + 52).

Page of Squares : First Upload November 25, 2008 ; Last Revised November 25, 2008
by Yoshio Mimura, Kobe, Japan

5971

The square of 5971 is 77.27224...., and 77 = 22 + 72 + 22 + 22 + 42.

Page of Squares : First Upload January 15, 2008 ; Last Revised January 15, 2008
by Yoshio Mimura, Kobe, Japan

5973

59732 = 35676729, 32 + 52 + 62 + 72 + 62 + 72 + 22 + 92 = 172.

Page of Squares : First Upload January 15, 2008 ; Last Revised January 15, 2008
by Yoshio Mimura, Kobe, Japan

5975

59752 = 35700625, 35700 / 6 + 25 = 5975.

Page of Squares : First Upload January 15, 2008 ; Last Revised January 15, 2008
by Yoshio Mimura, Kobe, Japan

5976

59762 = 483 + 683 + 3283.

Page of Squares : First Upload September 22, 2008 ; Last Revised September 22, 2008
by Yoshio Mimura, Kobe, Japan

5978

59782 = 214 + 214 + 214 + 774.

59785 = 7634481613742526368 : 72 + 62 + 32 + 42 + 42 + 82 + 162 + 132 + 72 + 42 + 252 + 22 + 62 + 32 + 682 = 72 + 62 + 32 + 42 + 482 + 162 + 12 + 372 + 422 + 52 + 22 + 62 + 32 + 62 + 82 = 5978.

Page of Squares : First Upload September 22, 2008 ; Last Revised December 8, 2008
by Yoshio Mimura, Kobe, Japan

5979

59792 = 35748441, 32 + 52 + 72 + 42 + 82 + 42 + 42 + 12 = 142.

Page of Squares : First Upload January 15, 2008 ; Last Revised January 15, 2008
by Yoshio Mimura, Kobe, Japan

5980

Komachi equation: 59802 = 122 * 3452 / 62 * 782 / 92.

Page of Squares : First Upload October 25, 2010 ; Last Revised October 25, 2010
by Yoshio Mimura, Kobe, Japan

5981

59812 = 573 + 983 + 3263.

Page of Squares : First Upload September 22, 2008 ; Last Revised September 22, 2008
by Yoshio Mimura, Kobe, Japan

5984

59842 = 1203 + 1213 + 1223 + 1233 + 1243 + ... + 1363.

Page of Squares : First Upload November 25, 2008 ; Last Revised November 25, 2008
by Yoshio Mimura, Kobe, Japan

5985

59852 = 43 + 1403 + 3213 = 243 + 583 + 3293.

Page of Squares : First Upload September 22, 2008 ; Last Revised September 22, 2008
by Yoshio Mimura, Kobe, Japan

5986

59862 = 54 + 194 + 654 + 654.

59862 = 3213 + 195 + 67.

Page of Squares : First Upload September 22, 2008 ; Last Revised October 25, 2010
by Yoshio Mimura, Kobe, Japan

5988

The square root of 5988 is 77.382...., and 77 = 32 + 82 + 22.

Page of Squares : First Upload January 15, 2008 ; Last Revised January 15, 2008
by Yoshio Mimura, Kobe, Japan

5991

1 / 5991 = 0.000166917042230...., 162 + 692 + 12 + 72 + 042 + 22 + 22 + 302 = 5991.

Page of Squares : First Upload January 15, 2008 ; Last Revised January 15, 2008
by Yoshio Mimura, Kobe, Japan

5992

Komachi equation: 59922 = 982 / 72 / 62 / 52 * 42 * 32102.

Page of Squares : First Upload October 25, 2010 ; Last Revised October 25, 2010
by Yoshio Mimura, Kobe, Japan

5993

59932 = 35916049 , 3 - 59 + 1 * 6049 = 3 - 59 * 1 + 6049 = 35 - 91 + 6049 = 5993.

260k + 286k + 1742k + 5993k are squares for k = 1,2,3 (912, 62532, 4696512).

Page of Squares : First Upload January 15, 2008 ; Last Revised June 24, 2011
by Yoshio Mimura, Kobe, Japan

5994

59942 = 1103 + 1153 + 3213.

1 / 5994 = 0.0001668335...., 162 + 682 + 332 + 52 = 5994.

Page of Squares : First Upload January 15, 2008 ; Last Revised September 22, 2008
by Yoshio Mimura, Kobe, Japan