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9400 - 9499

9404

94042 = 113 + 3013 + 3943.

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

9405

94052 = (262 - 1)(3622 - 1).

94052 = (101 + 102 + 103 + ... + 115)2 + (116 + 117 + 118 + ... + 130)2 + (131 + 132 + 133 + ... + 145)2 + ... + (251 + 252 + 253 + ... + 265)2.

94052 = (236 + 237 + 238 + 239 + 240 + 241)2 + (242 + 243 + 244 + 245 + 246 + 247)2 + (248 + 249 + 250 + 251 + 252 + 253)2 + ... + (380 + 381 + 382 + 383 + 384 + 385)2.

Page of Squares : First Upload September 22, 2008 ; Last Revised January 11, 2014
by Yoshio Mimura, Kobe, Japan

9407

94072 = 88491649, and 8 + 8 * 49 * 1 * 6 * 4 - 9 = 9407.

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

9408

94082 = 73 + 1403 + 4413 = 983 + 2383 + 4203 = 1263 + 2743 + 4043.

94085 = 73703233850355744768 :
72 + 32 + 72 + 02 + 322 + 32 + 382 + 52 + 02 + 352 + 572 + 42 + 472 + 62 + 82
= 72 + 372 + 02 + 32 + 22 + 332 + 82 + 52 + 02 + 352 + 572 + 42 + 472 + 62 + 82 = 9408.

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

9409

The square of 97.

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

9414

94142 = 1163 + 3253 + 3753.

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

9415

94155 = 73977835758530134375 :
72 + 32 + 92 + 72 + 72 + 832 + 52 + 72 + 52 + 82 + 52 + 32 + 02 + 132 + 432 + 72 + 52 = 9415.

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

9416

94162 = (12 + 7)(22 + 7)(102 + 7)(972 + 7) = (92 + 7)(102 + 7)(972 + 7).

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

9417

94172 = 88679889, a square every digit of which is greater than 5.

94172 = 88679889, and 8 * 86 + 7 + 98 * 89 = 9417.

Page of Squares : First Upload September 22, 2008 ; Last Revised September 7, 2013
by Yoshio Mimura, Kobe, Japan

9418

94182 = 74 + 174 + 174 + 974.

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

9419

94192 = 88717561, and 82 + 82 + 72 + 12 + 72 + 52 + 62 + 12 = 172.

94192 = 4463 + 45 + 17.

Page of Squares : First Upload September 22, 2008 ; Last Revised November 29, 2010
by Yoshio Mimura, Kobe, Japan

9420

The square root of 9420 is 97.0566...., and 97 = 02 + 52 + 62 + 62.

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

9422

94223 = 836429419448, and 82 + 32 + 62 + 42 + 22 + 942 + 192 + 42 + 42 + 82 = 9422.

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

9423

94232 = 23 + 3043 + 3933 = 333 + 1343 + 4423 = 1353 + 1593 + 4353.

S2(9423) = S2(5559) + S2(8728), where S2(n) = 12 + 22 + 32 + 42 + ... + n2.

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

9424

1 / 9424 = 0.0001061120543293718, 102 + 612 + 122 + 0542 + 32 + 292 + 372 + 182 = 9424.

94242 = 88811776, and 888 + 11 * 776 = 9424.

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

9425

94255 = 74371543414619140625 :
72 + 432 + 72 + 152 + 42 + 342 + 12 + 42 + 612 + 92 + 12 + 402 + 62 + 252
= 742 + 32 + 72 + 152 + 432 + 42 + 12 + 42 + 62 + 12 + 92 + 12 + 402 + 62 + 22 + 52 = 9425.

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

9430

94302 = 116 x 117 + 117 x 118 + 118 x 119 +...+ 644 x 645
= 424 x 425 + 425 x 426 + 426 x 427 +...+ 699 x 700.

94305 = 74569024831294300000 :
72 + 42 + 52 + 62 + 92 + 02 + 242 + 832 + 12 + 292 + 42 + 302 + 02 + 02 + 02 + 02 = 9430.

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

9431

94312 = 88943761, and
8 - 8 + 9437 - 6 * 1 = 8 / 8 + 9437 - 6 - 1 = 8 / 8 * 9437 - 6 * 1 = 9431.

94315 = 74608571407001716151 :
72 + 42 + 602 + 82 + 52 + 72 + 142 + 02 + 702 + 02 + 12 + 72 + 162 + 152 + 12 = 9431.

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

9432

94322 = 283 + 1703 + 4383.

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

9437

94375 = 74846203356105710957 :
742 + 82 + 462 + 202 + 332 + 52 + 62 + 12 + 02 + 52 + 72 + 12 + 02 + 92 + 52 + 72 = 9437.

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

9438

858k + 9438k + 17394k + 27066k are squares for k = 1,2,3 (2342, 335402, 50923082).

Page of Squares : First Upload July 18, 2011 ; Last Revised July 18, 2011
by Yoshio Mimura, Kobe, Japan

9440

94402± 3 are primes.

94405 = 74965246174822400000 :
72 + 42 + 92 + 62 + 522 + 462 + 12 + 72 + 482 + 222 + 402 + 02 + 02 + 02 + 02 = 9440.

Page of Squares : First Upload December 8, 2008 ; Last Revised January 18, 2014
by Yoshio Mimura, Kobe, Japan

9441

94415 = 75004960756562223201 :
72 + 502 + 02 + 42 + 92 + 62 + 02 + 752 + 62 + 52 + 62 + 22 + 22 + 22 + 322 + 02 + 12 = 9441.

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

9442

Loop of length 35 by the function f(N) = ... + c2 + b2 + a2 where N = ... + 1002c + 100b + a:
9442 - 10600 - 37 - 1369 - ,,, - 14621 - 2558 - 3989 - 9442
(Note f(9442) = 942 + 422 = 10600,   f(10600) = 12 + 062 + 002 = 37, etc. See 37)

94422 = 2393 + 3013 + 3643.

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

9444

94442 = 1423 + 3243 + 3743.

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

9447

94472 = 34 + 344 + 564 + 944 = 44 + 284 + 574 + 944.

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

9448

94482 = 89264704, a zigzag square.

The square root of 9448 is 97.20082304...., and 97 = 22 + 02 + 02 + 82 + 22 + 32 + 02 + 42.

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

9449

94492 = 89283601, a zigzag square.

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

9450

94502 = 1053 + 1803 + 4353 = 2253 + 3153 + 3603.

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

9452

94522 = 89340304, a zigzag square.

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

9456

94562 = 363 + 2363 + 4243 = 433 + 2843 + 4053 = 1213 + 1353 + 4403.

94562 = 89415936, and 8 + 9415 + 9 * 3 + 6 = 9456.

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

9458

94582 = 13 + 1363 + 4433.

94582 = 89453764, and 8 + 9453 + 7 - 6 - 4 = 9458.

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

9462

94622 = (22 + 2)(92 + 2)(4242 + 2).

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

9463

94632 = 413 + 1763 + 4383.

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

9464

94642 = (12 + 3)(52 + 3)(72 + 3)(1242 + 3).

94642 = 2603 + 4163.

Page of Squares : First Upload September 22, 2008 ; Last Revised January 11, 2014
by Yoshio Mimura, Kobe, Japan

9471

94712 = (376 + 377 + 378)2 + (379 + 380 + 381)2 + (382 + 383 + 384)2 + ... + (520 + 521 + 522)2.

94714 = 8046061475425281, and
82 + 02 + 42 + 602 + 62 + 12 + 42 + 72 + 542 + 22 + 522 + 82 + 12 = 9471.

94715 = 76204248233752836351, and
72 + 62 + 202 + 42 + 22 + 42 + 82 + 232 + 32 + 752 + 22 + 82 + 32 + 62 + 32 + 512 = 9471.

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

9473

1 / 9473 = 0.00010556317956, 102 + 552 + 62 + 32 + 12 + 792 + 52 + 62 = 9473.

94732 = 89737729, and 892 + 72 + 372 + 72 + 22 + 92.

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

9477

94772± 2 are primes.

94772 = 2343 + 3303 + 3453.

Page of Squares : First Upload September 22, 2008 ; Last Revised January 11, 2014
by Yoshio Mimura, Kobe, Japan

9480

The quadratic polynomial 9480X2 - 51480X + 71929 takes the values 1732, 832, 532, 1332, 2272, 3232 at X = 1, 2,..., 6,

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

9481

94812 = 89889361, and
82 + 92 + 82 + 82 + 92 + 32 + 62 + 12 = 202.

94815 = 76607401752190271401 : 762 + 62 + 02 + 72 + 42 + 02 + 172 + 522 + 192 + 02 + 22 + 72 + 142 + 02 + 12 = 9481.

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

9482

5390k + 9482k + 12034k + 12298k are squares for k = 1,2,3 (1982, 203722, 21475082).

Page of Squares : First Upload July 18, 2011 ; Last Revised July 18, 2011
by Yoshio Mimura, Kobe, Japan

9484

94845 = 76728679936471911424 :
762 + 72 + 22 + 82 + 62 + 72 + 92 + 92 + 362 + 42 + 72 + 12 + 92 + 112 + 422 + 42
= 72 + 62 + 722 + 82 + 62 + 72 + 92 + 92 + 362 + 472 + 192 + 12 + 12 + 42 + 22 + 42 = 9484.

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

9485

94852 = 113 + 1753 + 4393 = 763 + 2493 + 4203.

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

9486

7626k + 9486k + 11656k + 18321k are squares for k = 1,2,3 (2172, 248932, 30050472).

Page of Squares : First Upload July 18, 2011 ; Last Revised July 18, 2011
by Yoshio Mimura, Kobe, Japan

9488

The square root of 9488 is 97.40636...., and 97 = 42 + 02 + 62 + 32 + 62.

94882 = 1063 + 375 + 117.

Page of Squares : First Upload September 22, 2008 ; Last Revised November 29, 2010
by Yoshio Mimura, Kobe, Japan

9489

94892 = 93 + 503 + 4483 = 1443 + 1613 + 4363.

94895 = 76931151535717786449 :
762 + 92 + 32 + 12 + 12 + 52 + 12 + 52 + 32 + 572 + 12 + 72 + 72 + 82 + 62 + 42 + 42 + 92 = 9489.

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

9490

94902 = (12 + 9)(30012 + 9).

94902 = 2343 + 3353 + 3413.

Page of Squares : First Upload September 22, 2008 ; Last Revised January 11, 2014
by Yoshio Mimura, Kobe, Japan

9491

1 / 9491 = 0.00010536297545042, 102 + 52 + 362 + 292 + 72 + 542 + 502 + 422 = 9491.

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

9492

The integral triangle of sides 12769, 15170, 23137 has square area 94922.

Page of Squares : First Upload October 21, 2011 ; Last Revised October 21, 2011
by Yoshio Mimura, Kobe, Japan

9494

94943 = 855751525784, 82 + 552 + 752 + 12 + 52 + 252 + 72 + 82 + 42 = 9494.

94945 = 77134050335121552224 :
772 + 12 + 32 + 42 + 02 + 502 + 32 + 32 + 52 + 12 + 212 + 52 + 52 + 22 + 222 + 42
= 772 + 12 + 32 + 42 + 02 + 502 + 32 + 32 + 52 + 12 + 212 + 52 + 52 + 222 + 22 + 42 = 9494.

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

9495

94952 = 1423 + 1773 + 4343.

94952 = (371 + 372 + 373)2 + (374 + 375 + 376)2 + (377 + 378 + 379)2 + ... + (518 + 519 + 520)2.

94955 = 77174681418467184375 :
72 + 712 + 72 + 42 + 62 + 82 + 12 + 42 + 182 + 462 + 72 + 182 + 42 + 372 + 52
= 72 + 712 + 72 + 462 + 82 + 12 + 42 + 182 + 42 + 62 + 72 + 182 + 42 + 372 + 52 = 9495.

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

9497

The square root of 9496 is 97.4474...., and 97 = 42 + 42 + 72 + 42.

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

9498

94982 = 214 + 594 + 794 + 794.

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

9499

94992 = 683 + 3083 + 3933.

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