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9500 - 9599

9500

95002 = 1023 + 1793 + 4373 = 2153 + 2253 + 4103.

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

9501

95015 = 77418827637152547501 :
772 + 42 + 182 + 82 + 22 + 72 + 62 + 32 + 72 + 12 + 52 + 22 + 542 + 72 + 52 + 02 + 12 = 9501.

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

9504

95042 = (12 + 8)(22 + 8)(42 + 8)(62 + 8)(282 + 8) = (12 + 8)(22 + 8)(62 + 8)(82 + 8)(162 + 8)
= (32 - 1)(72 - 1)(4852 - 1) = (42 + 8)(62 + 8)(102 + 8)(282 + 8) = (62 + 8)(82 + 8)(102 + 8)(162 + 8).

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

9505

95052 = 1653 + 3433 + 3573.

The square root of 9505 is 97.49...., and 97 = 42 + 92.

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

9506

The square root of 9506 is 97.49...., and 97 = 42 + 92.

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

9507

95072 = 2143 + 2733 + 3923 = 2253 + 3163 + 3623.

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

9508

95082 = 90402064, a zigzag square.

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

9511

95115 = 77827110813173108551 :
72 + 782 + 22 + 72 + 12 + 12 + 02 + 82 + 12 + 32 + 12 + 72 + 32 + 102 + 82 + 552 + 12
= 772 + 82 + 22 + 72 + 12 + 12 + 02 + 82 + 12 + 32 + 172 + 32 + 12 + 02 + 82 + 552 + 12
= 72 + 782 + 22 + 72 + 12 + 102 + 82 + 12 + 32 + 12 + 72 + 32 + 12 + 02 + 82 + 552 + 12 = 9511.

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

9512

95122 = (32 - 1)(33632 - 1).

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

9513

95132 = 1853 + 3303 + 3643.

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

9514

95142 = 90516196, a zigzag square.

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

9515

95152 = (72 + 6)(12832 + 6).

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

9519

95192 = 93 + 2603 + 4183 = 473 + 2673 + 4153.

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

9520

95202= 281 x 282 + 282 x 283 + 283 x 284 +...+ 664 x 665.

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

9521

95212 = 90649441, and 90 - 6 - 4 + 9441 = 9521.

60k + 241k + 282k + 378k are squares for k = 1,2,3 (312, 5332, 95212).

Page of Squares : First Upload September 29, 2008 ; Last Revised July 18, 2011
by Yoshio Mimura, Kobe, Japan

9522

95222 = 694 + 694 + 694 + 694.

95224 = 8220773990858256,
and 82 + 22 + 202 + 72 + 72 + 392 + 92 + 02 + 852 + 82 + 22 + 52 + 62 = 9522.

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

9524

95242 = 90706576, a zigzag square.

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

9526

95262 = 1073 + 3303 + 3773.

95262 = 90744676, and 9074 - 4 + 6 * 76 = 9526.

95265 = 78442763614058241376 :
782 + 42 + 422 + 72 + 62 + 32 + 62 + 12 + 42 + 02 + 52 + 82 + 22 + 42 + 12 + 372 + 62 = 9526.

Page of Squares : First Upload September 29, 2008 ; Last Revised December 8, 2008
by Yoshio Mimura, Kobe, Japan

9527

1 / 9527 = 0.0001049648367, 102 + 492 + 62 + 42 + 832 + 62 + 72 = 9527.

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

9528

95282 = 163 + 3113 + 3933.

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

9531

95312 = 95 + 95 + 125 + 125 + 395.

95315 = 78648844741523376651 :
782 + 62 + 42 + 82 + 82 + 42 + 42 + 72 + 412 + 52 + 22 + 32 + 372 + 62 + 62 + 52 + 12
= 72 + 82 + 62 + 482 + 82 + 42 + 42 + 742 + 12 + 52 + 22 + 32 + 372 + 62 + 62 + 52 + 12
= 782 + 62 + 42 + 82 + 82 + 442 + 72 + 42 + 12 + 52 + 22 + 332 + 72 + 62 + 62 + 52 + 12 = 9531.

Page of Squares : First Upload September 29, 2008 ; Last Revised December 8, 2008
by Yoshio Mimura, Kobe, Japan

9532

95322 = 64 + 284 + 484 + 964.

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

9534

95342± 5 are primes.

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

9535

95352 = 1343 + 1403 + 4413.

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

9536

95362 = 90935296, a zigzag square.

The square root of 9536 is 97.65244...., and 97 = 62 + 52 + 22 + 42 + 42.

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

9537

1 / 9537 = 0.0001048547761, 12 + 02 + 42 + 852 + 472 + 72 + 62 + 12 = 9537,
1 / 9537 = 0.0001048547761, 12 + 042 + 852 + 472 + 72 + 62 + 12 = 9537,
1 / 9537 = 0.000104854776135, 12 + 0482 + 52 + 42 + 772 + 62 + 12 + 352 = 9537.

95372 = 90954369, and 9 + 0 + 9543 - 6 - 9 = 9537.

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

9538

95382 = 90973444, and 9097 - 3 + 444 = 9538.

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

9540

95402 = 163 + 2103 + 4343.

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

9544

95442± 5 are primes.

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

9546

1 / 9546 = 0.000104755918, 102 + 42 + 752 + 592 + 182 = 9546.

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

9547

95475 = 79311216783521692507 :
72 + 92 + 312 + 12 + 212 + 62 + 72 + 832 + 52 + 22 + 162 + 92 + 252 + 02 + 72
= 72 + 92 + 312 + 12 + 22 + 162 + 72 + 832 + 52 + 212 + 62 + 92 + 252 + 02 + 72 = 9547.

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

9548

95482 = 343 + 4503.

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

9549

95492 = 25 + 65 + 95 + 265 + 385.

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

9553

95535 = 79560753712958542993 :
72 + 92 + 52 + 602 + 72 + 532 + 72 + 12 + 292 + 52 + 82 + 52 + 422 + 92 + 92 + 32 = 9553.

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

9554

95544 = 8331840506135056, and
82 + 32 + 32 + 12 + 82 + 42 + 02 + 52 + 02 + 612 + 32 + 502 + 562
= 82 + 32 + 32 + 12 + 82 + 42 + 02 + 502 + 612 + 32 + 52 + 02 + 562 = 9554.

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

9555

95552 = (172 + 173 + 174 + 175 + 176 + 177 + 178)2 + (179 + 180 + 181 + 182 + 183 + 184 + 185)2 + (186 + 187 + 188 + 189 + 190 + 191 + 192)2 + ... + (347 + 348 + 349 + 350 + 351 + 352 + 353)2.

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

9556

95562± 3 are primes.

95562 = 91317136, a square with odd digits except the last digit 6.

Loop of length 56 by the function f(N) = ... + c2 + b2 + a2 where N = ... + 1002c + 100b + a:
9556 - 12161 - 4163 - 5650 - ... - 16165 - 7947 - 8450 - 9556
(Note f(9556) = 952 + 562 = 12161,   f(12161) = 12 + 212 + 612 = 4163, etc. See 41)

Page of Squares : First Upload October 9, 2008 ; Last Revised January 18, 2014
by Yoshio Mimura, Kobe, Japan

9557

95572 = 133 + 1993 + 4373 = 1453 + 2483 + 4183.

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

9565

95655 = 80061711854377478125 :
82 + 02 + 02 + 62 + 12 + 712 + 12 + 82 + 52 + 42 + 372 + 72 + 472 + 82 + 12 + 252 = 9565.

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

9567

95672 = 1663 + 1853 + 4323.

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

9570

95702 = (32 + 6)(182 + 6)(1362 + 6).

6402k + 9570k + 9966k + 13266k are squares for k = 1,2,3 (1982, 201962, 21126602).

510k + 690k + 1330k + 9570k are squares for k = 1,2,3 (1102, 97002, 9377002).

Page of Squares : First Upload July 18, 2011 ; Last Revised January 11, 2014
by Yoshio Mimura, Kobe, Japan

9571

95712 = 473 + 2513 + 4233.

95712 = 91604041, a zigzag square.

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

9572

95722 = 91623184, a zigzag square.

95725 = 80355100704763077632 :
82 + 02 + 32 + 552 + 102 + 02 + 72 + 02 + 472 + 62 + 32 + 02 + 72 + 72 + 632 + 22
= 82 + 02 + 32 + 552 + 102 + 02 + 72 + 02 + 472 + 632 + 02 + 72 + 72 + 62 + 32 + 22 = 9572.

Page of Squares : First Upload September 29, 2008 ; Last Revised December 8, 2008
by Yoshio Mimura, Kobe, Japan

9573

95732 = 493 + 3243 + 3863.

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

9574

95742 = 91661476, and 92 + 12 + 62 + 62 + 12 + 42 + 72 + 62 = 162.

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

9576

95762 = (132 - 1)(202 - 1)(372 - 1).

95762 = (48 + 49 + 50 + ... + 68)2 + (69 + 70 + 71 + ... + 89)2 + (90 + 91 + 92 + ... + 110)2 + ... + (216 + 217 + 218 + ... + 236)2.

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

9577

95772 = 91718929, and 91 / 7 * 1 * 8 * 92 + 9 = 9577.

95773 = 878392183033, and 82 + 72 + 832 + 92 + 212 + 82 + 302 + 332 = 9577.

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

9578

95782 = 91738084, a zigzag square.

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

9579

95792 = 91757241, a zigzag square.

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

9581

95812 = 91795561, and 9 + 17 + 9556 - 1 = 9581.

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

9582

95822± 5 are primes.

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

9583

95832 = 374 + 744 + 744 + 744.

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

9584

95845 = 80860053664431079424 :
82 + 02 + 82 + 62 + 02 + 02 + 52 + 362 + 62 + 42 + 42 + 32 + 12 + 02 + 792 + 422 + 42 = 9584.

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

9586

95862 = 91891396, and 9189 + 1 + 396 = 9586.

95864 = 8444028658828816, and
82 + 42 + 42 + 42 + 02 + 282 + 62 + 52 + 882 + 282 + 82 + 12 + 62 = 9586.

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

9588

95882 = 333 + 2713 + 4163 = 1383 + 2993 + 3973.

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

9589

95892 = 653 + 2703 + 4163.

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

9591

1 / 9591 = 0.00010426441...., and 10426441 = 32292.

95912 + 95922 + 95932 + ... + 96602 = 96612 + 96622 + 96632 + ... + 97292.

95912 = 91987281, and 9 * 19 * 8 * 7 + 2 * 8 - 1 = 9591.

Page of Squares : First Upload September 29, 2008 ; Last Revised September 20, 2011
by Yoshio Mimura, Kobe, Japan

9593

The square root of 9593 is 97.94...., and 97 = 92 + 42.

95935 = 81240431668646431193 :
82 + 122 + 402 + 42 + 312 + 62 + 682 + 62 + 42 + 62 + 432 + 112 + 92 + 32
= 82 + 122 + 402 + 42 + 312 + 662 + 82 + 62 + 462 + 42 + 32 + 112 + 92 + 32 = 9593.

Page of Squares : First Upload September 29, 2008 ; Last Revised December 8, 2008
by Yoshio Mimura, Kobe, Japan

9594

The square root of 9594 is 97.94...., and 97 = 92 + 42.

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

9595

1 / 9585 = 0.000104329...., and 104329 = 3232.

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

9596

Komachi equation: 95962 = 984 - 74 - 64 - 54 * 44 + 34 + 24 + 104.

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

9597

95972 = S2(280) + S2(633), where S2(n) = 12 + 22 + 32 + 42 + ... + n2.

95974 = 8482853743603281, and
82 + 42 + 82 + 22 + 852 + 372 + 42 + 32 + 62 + 02 + 32 + 282 + 12 = 9597.

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