9300
93002 = 2403 + 3103 + 3503.
1330k + 3610k + 5690k + 6270k are squares for k = 1,2,3 (1302, 93002, 6929002).
Page of Squares : First Upload September 16, 2008 ; Last Revised July 18, 2011by Yoshio Mimura, Kobe, Japan
9303
93032 = 103 + 923 + 4413 = 1243 + 3293 + 3663.
Page of Squares : First Upload September 16, 2008 ; Last Revised September 16, 2008by Yoshio Mimura, Kobe, Japan
9308
93082 = 86638864, and 8 - 6 - 6 + 388 * 6 * 4 = 9308.
Page of Squares : First Upload September 16, 2008 ; Last Revised September 16, 2008by Yoshio Mimura, Kobe, Japan
9309
93092 = 1053 + 1973 + 4273.
Page of Squares : First Upload September 16, 2008 ; Last Revised September 16, 2008by Yoshio Mimura, Kobe, Japan
9310
93102 = 3293 + 3713.
93102 = (319 + 320 + 321 + 322 + 323)2 + (324 + 325 + 326 + 327 + 328)2 + (329 + 330 + 331 + 332 + 333)2 + ... + (434 + 435 + 436 + 437+ 438)2.
Page of Squares : First Upload September 16, 2008 ; Last Revised September 16, 2008by Yoshio Mimura, Kobe, Japan
9312
93122 = 2063 + 2833 + 3813 = 2553 + 2573 + 3763.
Komachi equation: 93122 = 92 * 82 / 72 / 62 * 54322 */ 12.
Page of Squares : First Upload September 16, 2008 ; Last Revised November 19, 2010by Yoshio Mimura, Kobe, Japan
9315
93152 = 86769225, and 8 * 6 + 7 * 6 + 9225 = 8 + 6 + 76 + 9225 = 9315.
Page of Squares : First Upload September 16, 2008 ; Last Revised September 16, 2008by Yoshio Mimura, Kobe, Japan
9316
9316 = (12 + 22 + 32 + ... + 1362) / (12 + 22 + 32 + ... + 62).
93162 = 953 + 1453 + 4363.
93162 + 93172 + 93182 + ... + 93842 = 93852 + 93862 + 93872 + ... + 94522.
93165 = 70169341237598872576, and
72 + 02 + 162 + 92 + 32 + 42 + 122 + 32 + 72 + 52 + 92 + 82 + 82 + 722 + 572 + 62 = 9316.
by Yoshio Mimura, Kobe, Japan
9317
93172 = 86806489, and 82 + 62 + 82 + 02 + 62 + 42 + 82 + 92 = 192.
93172 = (193 + 194 + 195 + ... + 203)2 + (204 + 205 + 206 + ... + 214)2 + (215 + 216 + 217 + ... + 225)2 + ... + (303 + 304 + 305 + ... + 313)2.
Page of Squares : First Upload September 16, 2008 ; Last Revised September 16, 2008by Yoshio Mimura, Kobe, Japan
9320
93202 = (22 + 4)(62 + 4)(5212 + 4).
Page of Squares : First Upload January 11, 2014 ; Last Revised January 11, 2014by Yoshio Mimura, Kobe, Japan
9321
93212 = 653 + 2703 + 4063.
Page of Squares : First Upload September 16, 2008 ; Last Revised September 16, 2008by Yoshio Mimura, Kobe, Japan
9324
93242 = 423 + 803 + 4423.
Page of Squares : First Upload September 16, 2008 ; Last Revised September 16, 2008by Yoshio Mimura, Kobe, Japan
9325
93252 = 43 + 1213 + 4403.
93252 = 86955625, and 8695 + 5 + 625 = 9325.
Page of Squares : First Upload September 16, 2008 ; Last Revised September 16, 2008by Yoshio Mimura, Kobe, Japan
9327
93272 = 1483 + 2243 + 4173.
Page of Squares : First Upload September 16, 2008 ; Last Revised September 16, 2008by Yoshio Mimura, Kobe, Japan
9328
93282 = (132 + 7)(242 + 7)(292 + 7) = (22 + 7)(32 + 7)(242 + 7)(292 + 7).
93282 = 164 + 244 + 364 + 964.
Page of Squares : First Upload September 16, 2008 ; Last Revised January 11, 2014by Yoshio Mimura, Kobe, Japan
9330
93302 = 13 + 483 + 4433 = 113 + 3423 + 3613.
93304 = 7577510991210000, and
72 + 572 + 752 + 12 + 02 + 92 + 92 + 122 + 102 + 02 + 02 + 02 = 9330,
72 + 572 + 752 + 102 + 92 + 92 + 122 + 12 + 02 + 02 + 02 + 02 = 9330.
by Yoshio Mimura, Kobe, Japan
9332
93322 = 673 + 2303 + 4213.
Page of Squares : First Upload September 16, 2008 ; Last Revised September 16, 2008by Yoshio Mimura, Kobe, Japan
9333
Loop of length 56 by the function f(N) = ... + c2 + b2 + a2 where N = ... + 1002c + 100b + a:
9333 - 9738 - 10853 - 2874 - ... - 690 - 8136 - 7857 - 9333
(Note f(9333) = 932 + 332 = 9738, f(9738) = 972 + 382 = 10853, etc. See 41)
by Yoshio Mimura, Kobe, Japan
9334
93342 = (595 + 596)2 + (597 + 598)2 + (599 + 600)2 + ... + (697 + 698)2.
Page of Squares : First Upload September 16, 2008 ; Last Revised September 16, 2008by Yoshio Mimura, Kobe, Japan
9336
93362 = 53 + 1873 + 4323.
Page of Squares : First Upload September 16, 2008 ; Last Revised September 16, 2008by Yoshio Mimura, Kobe, Japan
9337
93372 = 344 + 364 + 724 + 874.
93372 = 87179569 appears in the decimal expressions of e:
e = 2.71828•••87179569••• (from the 39415th digit)
(87179569 is the ninth 8-digit square in the expression of e.)
by Yoshio Mimura, Kobe, Japan
9338
9338 = (12 + 22 + 32 + ... + 1152) / (12 + 22 + 32 + 42 + 52).
Page of Squares : First Upload November 25, 2008 ; Last Revised November 25, 2008by Yoshio Mimura, Kobe, Japan
9339
93392 = 383 + 2983 + 3933.
93395 = 71039824032138330699, and
72 + 102 + 392 + 82 + 242 + 02 + 322 + 12 + 32 + 82 + 332 + 02 + 692 + 92 = 9339.
by Yoshio Mimura, Kobe, Japan
9340
93405 = 71077866134742400000, and
72 + 102 + 72 + 782 + 62 + 62 + 12 + 342 + 72 + 422 + 42 + 02 + 02 + 02 + 02 + 02 = 9340.
by Yoshio Mimura, Kobe, Japan
9344
1 / 9344 = 0.000107020547945, 102 + 702 + 22 + 02 + 52 + 472 + 92 + 452 = 9344,
1 / 9344 = 0.000107020547945, 102 + 702 + 22 + 052 + 472 + 92 + 452 = 9344.
by Yoshio Mimura, Kobe, Japan
9345
2460k + 2490k + 3930k + 9345k are squares for k = 1,2,3 (1352, 107252, 9524252).
Page of Squares : First Upload July 18, 2011 ; Last Revised July 18, 2011by Yoshio Mimura, Kobe, Japan
9347
93472 = 87366409, and 87 * 3 * 6 * 6 - 40 - 9 = 9347.
Page of Squares : First Upload September 16, 2008 ; Last Revised September 16, 2008by Yoshio Mimura, Kobe, Japan
9348
93482 = 923 + 2703 + 4063 = 164 + 324 + 344 + 964.
93482 = 87385104, and 8 * 73 * 8 / 5 * 10 + 4 = 9348.
Page of Squares : First Upload September 16, 2008 ; Last Revised September 16, 2008by Yoshio Mimura, Kobe, Japan
9350
1666k + 2210k + 5270k + 9350k are squares for k = 1,2,3 (1362, 110842, 9895362).
Page of Squares : First Upload July 18, 2011 ; Last Revised July 18, 2011by Yoshio Mimura, Kobe, Japan
9351
93515 = 71497405925846771751, and
72 + 12 + 42 + 92 + 72 + 42 + 02 + 592 + 22 + 582 + 462 + 72 + 72 + 12 + 72 + 52 + 12 = 9351.
by Yoshio Mimura, Kobe, Japan
9352
93522 = 963 + 2323 + 4203 = 963 + 2943 + 3943.
Page of Squares : First Upload September 16, 2008 ; Last Revised September 16, 2008by Yoshio Mimura, Kobe, Japan
9355
93552 = 923 + 2333 + 4203.
Page of Squares : First Upload September 16, 2008 ; Last Revised September 16, 2008by Yoshio Mimura, Kobe, Japan
9360
93602 = (22 - 1)(52 - 1)(142 - 1)(792 - 1) = (42 - 1)(72 - 1)(142 - 1)(252 - 1) = (72 - 1)(13512 - 1).
93602 = 2143 + 3123 + 3623.
93602 = 1113 + 1123 + 1133 + 1143 + 1153 + ... + 1493.
972 + 9360 = 1372, 972 - 9360 = 72.
Komachi equations:
93602 = 122 / 32 * 42 * 52 / 62 * 782 * 92 = 122 / 32 * 452 * 62 * 782 / 92.
by Yoshio Mimura, Kobe, Japan
9361
93612 = (202 + 7)(4642 + 7).
93612 = 333 + 403 + 4443.
Page of Squares : First Upload September 16, 2008 ; Last Revised January 11, 2014by Yoshio Mimura, Kobe, Japan
9366
93662 = 1633 + 2733 + 3983.
Page of Squares : First Upload September 16, 2008 ; Last Revised September 16, 2008by Yoshio Mimura, Kobe, Japan
9368
93682 = 803 + 3493 + 3553.
Page of Squares : First Upload September 16, 2008 ; Last Revised September 16, 2008by Yoshio Mimura, Kobe, Japan
9371
93712 = 87815641, and 8 * 78 * 15 + 6 + 4 + 1 = 9371.
93712 = 87815641, and 82 + 72 + 82 + 12 + 52 + 62 + 42 + 12 = 162.
Page of Squares : First Upload September 16, 2008 ; Last Revised September 16, 2008by Yoshio Mimura, Kobe, Japan
9372
93722± 5 are primes.
93722 = 563 + 2893 + 3993 = 943 + 2283 + 4223 = 3003 + 3053 + 3193.
93722 = 87834384, a zigzag square.
93722 = 87834384, and 8 + 783 * 4 * 3 - 8 * 4 = 9372.
Page of Squares : First Upload September 16, 2008 ; Last Revised January 18, 2014by Yoshio Mimura, Kobe, Japan
9373
93732 = 653 + 1803 + 4343.
Page of Squares : First Upload September 16, 2008 ; Last Revised September 16, 2008by Yoshio Mimura, Kobe, Japan
9374
8170k + 9374k + 20210k + 28810k are squares for k = 1,2,3 (2582, 373242, 57910682).
93745 = 72381027831152390624, and
722 + 32 + 82 + 12 + 02 + 272 + 82 + 312 + 152 + 22 + 392 + 02 + 62 + 242 = 9374.
by Yoshio Mimura, Kobe, Japan
9376
93762 = 87909376, a zigzag square.
93762 = 87909376, and 8 * 7 * 9 * 0 + 9376 = 8 * 7 / 9 * 0 + 9376 = 8 / 7 * 9 * 0 + 9376
= 8 / 7 / 9 * 0 + 9376 = 8 * 79 * 0 + 9376 = 8 / 79 * 0 + 9376 = 87 * 9 * 0 + 9376
= 87 / 9 * 0 + 9376 = 879 * 0 + 9376 = 9376.
by Yoshio Mimura, Kobe, Japan
9377
93772 = 84 + 114 + 564 + 944.
Page of Squares : First Upload September 16, 2008 ; Last Revised September 16, 2008by Yoshio Mimura, Kobe, Japan
9380
93804 = 7741254643360000, and
72 + 742 + 122 + 52 + 42 + 62 + 42 + 32 + 32 + 602 + 02 + 02 + 02 = 9380.
by Yoshio Mimura, Kobe, Japan
9381
93814 = 7744556345991921, and
772 + 442 + 52 + 52 + 62 + 342 + 52 + 92 + 92 + 12 + 92 + 22 + 12 = 9381.
by Yoshio Mimura, Kobe, Japan
9383
93835 = 72729161674557267143, and
72 + 22 + 72 + 22 + 92 + 12 + 612 + 62 + 72 + 452 + 572 + 22 + 62 + 72 + 12 + 42 + 32 = 9383.
by Yoshio Mimura, Kobe, Japan
9384
93842 = 88059456, and 8 * 80 * 59 / 4 - 56 = 9384.
Page of Squares : First Upload September 16, 2008 ; Last Revised September 16, 2008by Yoshio Mimura, Kobe, Japan
9387
93872± 2 are primes.
Page of Squares : First Upload January 11, 2014 ; Last Revised January 11, 2014by Yoshio Mimura, Kobe, Japan
9392
93922 = 88209664, and 8820 + 96 * 6 - 4 = 9392.
Page of Squares : First Upload September 16, 2008 ; Last Revised September 16, 2008by Yoshio Mimura, Kobe, Japan
9394
93945 = 73156476371443304224, and
72 + 32 + 12 + 562 + 42 + 72 + 62 + 372 + 142 + 432 + 302 + 422 + 22 + 42
= 72 + 312 + 52 + 62 + 42 + 762 + 372 + 12 + 42 + 42 + 332 + 02 + 42 + 22 + 22 + 42 = 9394.
by Yoshio Mimura, Kobe, Japan
9399
93995 = 73351373096956446999, and
72 + 332 + 52 + 132 + 72 + 302 + 92 + 62 + 92 + 52 + 62 + 442 + 692 + 92 + 92
= 72 + 332 + 52 + 132 + 72 + 302 + 92 + 692 + 52 + 62 + 442 + 62 + 92 + 92 + 92 = 9399.
by Yoshio Mimura, Kobe, Japan