9500
95002 = 1023 + 1793 + 4373 = 2153 + 2253 + 4103.
Page of Squares : First Upload September 29, 2008 ; Last Revised September 29, 2008by 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.
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).
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, 2008by 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, 2008by Yoshio Mimura, Kobe, Japan
9507
95072 = 2143 + 2733 + 3923 = 2253 + 3163 + 3623.
Page of Squares : First Upload September 29, 2008 ; Last Revised September 29, 2008by Yoshio Mimura, Kobe, Japan
9508
95082 = 90402064, a zigzag square.
Page of Squares : First Upload September 29, 2008 ; Last Revised September 29, 2008by 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.
by Yoshio Mimura, Kobe, Japan
9512
95122 = (32 - 1)(33632 - 1).
Page of Squares : First Upload January 11, 2014 ; Last Revised January 11, 2014by Yoshio Mimura, Kobe, Japan
9513
95132 = 1853 + 3303 + 3643.
Page of Squares : First Upload September 29, 2008 ; Last Revised September 29, 2008by Yoshio Mimura, Kobe, Japan
9514
95142 = 90516196, a zigzag square.
Page of Squares : First Upload September 29, 2008 ; Last Revised September 29, 2008by Yoshio Mimura, Kobe, Japan
9515
95152 = (72 + 6)(12832 + 6).
Page of Squares : First Upload January 11, 2014 ; Last Revised January 11, 2014by Yoshio Mimura, Kobe, Japan
9519
95192 = 93 + 2603 + 4183 = 473 + 2673 + 4153.
Page of Squares : First Upload September 29, 2008 ; Last Revised September 29, 2008by 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, 2008by 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, 2011by 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.
by Yoshio Mimura, Kobe, Japan
9524
95242 = 90706576, a zigzag square.
Page of Squares : First Upload September 29, 2008 ; Last Revised September 29, 2008by 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.
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, 2008by Yoshio Mimura, Kobe, Japan
9528
95282 = 163 + 3113 + 3933.
Page of Squares : First Upload September 29, 2008 ; Last Revised September 29, 2008by 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.
by Yoshio Mimura, Kobe, Japan
9532
95322 = 64 + 284 + 484 + 964.
Page of Squares : First Upload September 29, 2008 ; Last Revised September 29, 2008by Yoshio Mimura, Kobe, Japan
9534
95342± 5 are primes.
Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014by Yoshio Mimura, Kobe, Japan
9535
95352 = 1343 + 1403 + 4413.
Page of Squares : First Upload September 29, 2008 ; Last Revised September 29, 2008by 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, 2008by 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, 2008by Yoshio Mimura, Kobe, Japan
9538
95382 = 90973444, and 9097 - 3 + 444 = 9538.
Page of Squares : First Upload September 29, 2008 ; Last Revised September 29, 2008by Yoshio Mimura, Kobe, Japan
9540
95402 = 163 + 2103 + 4343.
Page of Squares : First Upload September 29, 2008 ; Last Revised September 29, 2008by Yoshio Mimura, Kobe, Japan
9544
95442± 5 are primes.
Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014by 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, 2008by 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.
by Yoshio Mimura, Kobe, Japan
9548
95482 = 343 + 4503.
Page of Squares : First Upload September 29, 2008 ; Last Revised September 29, 2008by Yoshio Mimura, Kobe, Japan
9549
95492 = 25 + 65 + 95 + 265 + 385.
Page of Squares : First Upload September 29, 2008 ; Last Revised September 29, 2008by Yoshio Mimura, Kobe, Japan
9553
95535 = 79560753712958542993 :
72 + 92 + 52 + 602 + 72 + 532 + 72 + 12 + 292 + 52 + 82 + 52 + 422 + 92 + 92 + 32 = 9553.
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.
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, 2008by 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)
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, 2008by Yoshio Mimura, Kobe, Japan
9565
95655 = 80061711854377478125 :
82 + 02 + 02 + 62 + 12 + 712 + 12 + 82 + 52 + 42 + 372 + 72 + 472 + 82 + 12 + 252 = 9565.
by Yoshio Mimura, Kobe, Japan
9567
95672 = 1663 + 1853 + 4323.
Page of Squares : First Upload September 29, 2008 ; Last Revised September 29, 2008by 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, 2014by 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, 2008by 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.
by Yoshio Mimura, Kobe, Japan
9573
95732 = 493 + 3243 + 3863.
Page of Squares : First Upload September 29, 2008 ; Last Revised September 29, 2008by 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, 2008by 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, 2014by 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, 2008by Yoshio Mimura, Kobe, Japan
9578
95782 = 91738084, a zigzag square.
Page of Squares : First Upload September 29, 2008 ; Last Revised September 29, 2008by Yoshio Mimura, Kobe, Japan
9579
95792 = 91757241, a zigzag square.
Page of Squares : First Upload September 29, 2008 ; Last Revised September 29, 2008by 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, 2008by Yoshio Mimura, Kobe, Japan
9582
95822± 5 are primes.
Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014by Yoshio Mimura, Kobe, Japan
9583
95832 = 374 + 744 + 744 + 744.
Page of Squares : First Upload September 29, 2008 ; Last Revised September 29, 2008by 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.
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.
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, 2008by Yoshio Mimura, Kobe, Japan
9589
95892 = 653 + 2703 + 4163.
Page of Squares : First Upload September 29, 2008 ; Last Revised September 29, 2008by 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, 2011by 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.
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, 2008by Yoshio Mimura, Kobe, Japan
9595
1 / 9585 = 0.000104329...., and 104329 = 3232.
Page of Squares : First Upload September 29, 2008 ; Last Revised September 29, 2008by 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, 2010by 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.
by Yoshio Mimura, Kobe, Japan