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6300 - 6399

6300

63002 = (62 - 1)(262 - 1)(412 - 1).

63002 = 1033 + 1443 + 3293 = 204 + 404 + 604 + 704 = 304 + 604 + 604 + 604.

Komachi equations:
63002 = 92 * 82 * 72 * 62 * 52 / 42 / 32 / 22 * 102 = 92 * 82 * 72 / 62 * 52 / 42 * 32 * 22 * 102
 = 92 / 82 * 72 * 62 * 52 * 42 / 32 * 22 * 102 = 982 / 72 * 62 * 52 / 42 * 32 * 22 * 102.

Page of Squares : First Upload September 29, 2008 ; Last Revised January 11, 2014
by Yoshio Mimura, Kobe, Japan

6301

63012 = 1003 + 1133 + 3343.

Page of Squares : First Upload September 29, 2008 ; Last Revised September 29, 2008
by Yoshio Mimura, Kobe, Japan

6302

63022 = 39715204, a square with different digits.

Page of Squares : First Upload February 12, 2008 ; Last Revised February 12, 2008
by Yoshio Mimura, Kobe, Japan

6306

63062 = 39765636, and 3 * 9 * 7 * 6 * 5 + 636 = 3 * 976 + 563 * 6 = 6306.

Page of Squares : First Upload February 12, 2008 ; Last Revised February 12, 2008
by Yoshio Mimura, Kobe, Japan

6308

63082 = 39790864, 3 + 9 + 790 * 8 - 6 * 4 = 6308.

Page of Squares : First Upload February 12, 2008 ; Last Revised February 12, 2008
by Yoshio Mimura, Kobe, Japan

6310

(63102 + 8) = (32 + 8)(92 + 8)(112 + 8)(142 + 8).

Page of Squares : First Upload February 12, 2008 ; Last Revised February 12, 2008
by Yoshio Mimura, Kobe, Japan

6315

63152± 2 are primes.

Page of Squares : First Upload January 11, 2014 ; Last Revised January 11, 2014
by Yoshio Mimura, Kobe, Japan

6316

63162 = 39891856, a zigzag square.

63162 = 39891856, and 32 + 92 + 82 + 92 + 12 + 82 + 52 + 62 = 192.

Page of Squares : First Upload February 12, 2008 ; Last Revised February 12, 2008
by Yoshio Mimura, Kobe, Japan

6317

63174 = 1592368242351121,
and 12 + 52 + 92 + 22 + 32 + 682 + 242 + 232 + 52 + 12 + 12 + 212 = 6317,
and 12 + 52 + 92 + 232 + 682 + 242 + 22 + 32 + 52 + 12 + 12 + 212 = 6317.

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

6318

63182 = 3! + 3! + 4! + 4! + 4! + 5! + 5! + 11!.

Page of Squares : First Upload February 12, 2008 ; Last Revised February 12, 2008
by Yoshio Mimura, Kobe, Japan

6319

63192 = 1! + 6! + 6! + 6! + 6! + 7! + 7! + 11!.

63192 = 39929761, 39 * 9 * 2 * 9 + 7 - 6 * 1 = 6319.

Page of Squares : First Upload February 12, 2008 ; Last Revised February 12, 2008
by Yoshio Mimura, Kobe, Japan

6322

63222 = 473 + 2183 + 3093.

Page of Squares : First Upload September 29, 2008 ; Last Revised September 29, 2008
by Yoshio Mimura, Kobe, Japan

6323

The square root of 6323 is 79.5172...., and 79 = 52 + 12 + 72 + 22.

Page of Squares : First Upload February 12, 2008 ; Last Revised February 12, 2008
by Yoshio Mimura, Kobe, Japan

6324

63242 = 35 + 165 + 215 + 275 + 295.

63244 = 1599438129336576,
and 12 + 52 + 92 + 92 + 42 + 382 + 12 + 22 + 92 + 32 + 362 + 572 + 62 = 6324.

Page of Squares : First Upload September 29, 2008 ; Last Revised December 1, 2008
by Yoshio Mimura, Kobe, Japan

6325

63252 = 40005625, where 4 = 22 and 5625 = 752.

63252 = 10852 + 10862 + 10872 + 10882 + 10892 + 10902 + ... + 11172.

63252 = (133 + 134 + 135 + 136 + 137)2 + (138 + 139 + 140 + 141 + 142)2 + (143 + 144 + 145 + 146 + 147)2 + ... + (293 + 294 + 295 + 296 + 297)2.

63255 = 10122846450126953125 :
102 + 122 + 22 + 82 + 462 + 452 + 02 + 122 + 62 + 92 + 52 + 312 + 252
= 12 + 02 + 122 + 282 + 462 + 42 + 52 + 02 + 122 + 62 + 92 + 532 + 122 + 52
= 102 + 122 + 22 + 82 + 42 + 62 + 42 + 52 + 02 + 122 + 692 + 52 + 312 + 22 + 52 = 6325.

Page of Squares : First Upload February 12, 2008 ; Last Revised December 8, 2008
by Yoshio Mimura, Kobe, Japan

6327

63272± 2 are primes.

Page of Squares : First Upload January 11, 2014 ; Last Revised January 11, 2014
by Yoshio Mimura, Kobe, Japan

6328

63282 = 73 + 2253 + 3063.

63282 + 63292 + 63302 + ... + 63842 = 63852 + 63862 + 63872 + ... + 64402.

Page of Squares : First Upload September 29, 2008 ; Last Revised September 16, 2011
by Yoshio Mimura, Kobe, Japan

6329

A cubic polynomial :
(X + 30962)(X + 32252)(X + 44802) = X3 + 63292X2 + 223789202X + 447310080002.

Page of Squares : First Upload February 12, 2008 ; Last Revised February 12, 2008
by Yoshio Mimura, Kobe, Japan

6334

63344 = 1609578773637136,
and 12 + 62 + 02 + 92 + 52 + 72 + 82 + 772 + 32 + 62 + 32 + 72 + 12 + 32 + 62 = 6334.

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

6335

Komachi equation: 63352 = 982 / 72 / 62 * 5432 / 22 * 102.

Page of Squares : First Upload October 29, 2010 ; Last Revised October 29, 2010
by Yoshio Mimura, Kobe, Japan

6339

63392 = 433 + 1653 + 3293.

Page of Squares : First Upload September 29, 2008 ; Last Revised September 29, 2008
by Yoshio Mimura, Kobe, Japan

6341

63412 = 40208281, a zigzag square.

Page of Squares : First Upload February 12, 2008 ; Last Revised February 12, 2008
by Yoshio Mimura, Kobe, Japan

6343

63432 = 64 + 184 + 514 + 764.

Page of Squares : First Upload September 29, 2008 ; Last Revised September 29, 2008
by Yoshio Mimura, Kobe, Japan

6344

63442 = 86 + 126 + 126 + 186.

63442 = 40246336, and 4 + 0 * 2 + 4 + 6336 = 4 * 0 + 2 * 4 + 6336 = 6344.

Page of Squares : First Upload February 12, 2008 ; Last Revised September 29, 2008
by Yoshio Mimura, Kobe, Japan

6346

63462± 3 are primes.

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

6351

63512 = 40335201, and 42 + 02 + 32 + 32 + 52 + 22 + 02 + 12 = 82.

Page of Squares : First Upload February 12, 2008 ; Last Revised February 12, 2008
by Yoshio Mimura, Kobe, Japan

6352

63524 = 1627953357193216,
and 12 + 62 + 272 + 92 + 532 + 352 + 72 + 192 + 322 + 12 + 62 = 6352.

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

6353

63532 = 1053 + 2563 + 2823.

Page of Squares : First Upload September 29, 2008 ; Last Revised September 29, 2008
by Yoshio Mimura, Kobe, Japan

6354

63542 = 274 + 454 + 454 + 754.

Page of Squares : First Upload September 29, 2008 ; Last Revised September 29, 2008
by Yoshio Mimura, Kobe, Japan

6355

63555 = 10365202102235471875 :
102 + 32 + 652 + 22 + 02 + 22 + 102 + 222 + 352 + 42 + 72 + 12 + 82 + 72 + 52
= 12 + 02 + 362 + 522 + 02 + 212 + 02 + 222 + 352 + 42 + 72 + 12 + 82 + 72 + 52 = 6355.

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

6357

63572 = 1563 + 2023 + 3053.

Page of Squares : First Upload September 29, 2008 ; Last Revised September 29, 2008
by Yoshio Mimura, Kobe, Japan

6358

63582 = 40424164, a zigzag sqaure.

578k + 2754k + 6358k + 8806k are squares for k = 1,2,3 (1362, 112202, 9802882).

Page of Squares : First Upload February 12, 2008 ; Last Revised June 28, 2011
by Yoshio Mimura, Kobe, Japan

6360

63602 = 43 + 1893 + 3233.

63602 = 40449600, and 40 * 4 * 4 * 9 + 600 = 6360.

Page of Squares : First Upload February 12, 2008 ; Last Revised September 29, 2008
by Yoshio Mimura, Kobe, Japan

6369

63694 = 1645451157633921, and 12 + 62 + 452 + 452 + 12 + 152 + 72 + 62 + 32 + 392 + 212 = 6369.

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

6371

63712 = 2173 + 3123 = 503 + 2143 + 3133 = 1383 + 2403 + 2893.

Page of Squares : First Upload September 29, 2008 ; Last Revised September 29, 2008
by Yoshio Mimura, Kobe, Japan

6372

63722± 5 are primes.

63722 = (12 + 8)(22 + 8)(132 + 8)(462 + 8) = (102 + 8)(132 + 8)(462 + 8).

63722 = 424 + 484 + 484 + 724.

The integral triangle of sides 3609, 59177, 62530 has square area 63722.

Page of Squares : First Upload September 29, 2008 ; Last Revised January 18, 2014
by Yoshio Mimura, Kobe, Japan

6373

63732 = 783 + 2523 + 2893.

Page of Squares : First Upload September 29, 2008 ; Last Revised September 29, 2008
by Yoshio Mimura, Kobe, Japan

6374

63742 = 40627876, 40 * 6 + 2 + 7 * 876 = 6374.

Page of Squares : First Upload February 12, 2008 ; Last Revised February 12, 2008
by Yoshio Mimura, Kobe, Japan

6377

63772 = 64 + 344 + 394 + 784.

Page of Squares : First Upload September 29, 2008 ; Last Revised September 29, 2008
by Yoshio Mimura, Kobe, Japan

6378

63782± 5 are primes.

63782 = 33 + 1343 + 3373.

Page of Squares : First Upload September 29, 2008 ; Last Revised January 18, 2014
by Yoshio Mimura, Kobe, Japan

6381

63812 = 40717161, a zigzag square.

63815 = 10578978222561395901 :
102 + 572 + 82 + 92 + 72 + 82 + 222 + 252 + 62 + 12 + 392 + 52 + 92 + 02 + 12 = 6381.

Page of Squares : First Upload February 12, 2008 ; Last Revised December 8, 2008
by Yoshio Mimura, Kobe, Japan

6384

63842 = (12 + 3)(22 + 3)(32 + 3)(152 + 3)(232 + 3) = (12 + 3)(32 + 3)(42 + 3)(92 + 3)(232 + 3)
= (12 + 3)(22 + 3)(32 + 3)(42 + 3)(52 + 3)(152 + 3) = (12 + 3)(32 + 3)(152 + 3)(612 + 3)
= (12 + 3)(42 + 3)(52 + 3)(92 + 3)(152 + 3) = (12 + 3)(92 + 3)(152 + 3)(232 + 3)
= (32 + 3)(52 + 3)(152 + 3)(232 + 3) = (32 - 1)(202 - 1)(1132 - 1).

63842 = 523 + 1263 + 3383.

63844 = 1661007193767936,
and 162 + 62 + 12 + 02 + 02 + 72 + 12 + 92 + 32 + 762 + 72 + 92 + 32 + 62 = 6384.

Komachi equations:
63842 = 92 * 82 * 762 / 542 * 32 * 212 = 982 * 762 * 542 / 32 / 212.

Page of Squares : First Upload September 29, 2008 ; Last Revised January 11, 2014
by Yoshio Mimura, Kobe, Japan

6389

63895 = 10645460201530750949 :
102 + 62 + 42 + 52 + 42 + 62 + 02 + 22 + 02 + 152 + 302 + 72 + 502 + 92 + 492 = 6389.

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

6393

63932 (12 + 2)(36912 + 2).

63932 = 344 + 414 + 564 + 724.

Page of Squares : First Upload September 29, 2008 ; Last Revised January 11, 2014
by Yoshio Mimura, Kobe, Japan

6396

63962 = 1173 + 1873 + 3203 = 1953 + 2293 + 2783.

63964 = 1673531226521856,
and 162 + 72 + 32 + 532 + 122 + 22 + 62 + 522 + 182 + 52 + 62 = 6396.

Page of Squares : First Upload September 29, 2008 ; Last Revised December 1, 2008
by Yoshio Mimura, Kobe, Japan