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9300

9300² = 240³ + 310³ + 350³.

1330^k + 3610^k + 5690^k + 6270^k are squares for k = 1,2,3 (130², 9300², 692900²).

Page of Squares : First Upload September 16, 2008 ; Last Revised July 18, 2011
by Yoshio Mimura, Kobe, Japan

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9303

9303² = 10³ + 92³ + 441³ = 124³ + 329³ + 366³.

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

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9308

9308² = 86638864, and 8 - 6 - 6 + 388 * 6 * 4 = 9308.

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

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9309

9309² = 105³ + 197³ + 427³.

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

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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, 2008
by Yoshio Mimura, Kobe, Japan

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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, 2010
by Yoshio Mimura, Kobe, Japan

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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, 2008
by Yoshio Mimura, Kobe, Japan

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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.

Page of Squares : First Upload September 16, 2008 ; Last Revised September 20, 2011
by Yoshio Mimura, Kobe, Japan

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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, 2008
by Yoshio Mimura, Kobe, Japan

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9320

9320² = (2² + 4)(6² + 4)(521² + 4).

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

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9321

9321² = 65³ + 270³ + 406³.

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

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9324

9324² = 42³ + 80³ + 442³.

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

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9325

9325² = 4³ + 121³ + 440³.

9325² = 86955625, and 8695 + 5 + 625 = 9325.

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

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9327

9327² = 148³ + 224³ + 417³.

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

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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, 2014
by Yoshio Mimura, Kobe, Japan

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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.

Page of Squares : First Upload September 16, 2008 ; Last Revised December 1, 2008
by Yoshio Mimura, Kobe, Japan

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9332

9332² = 67³ + 230³ + 421³.

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

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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)

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

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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, 2008
by Yoshio Mimura, Kobe, Japan

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9336

9336² = 5³ + 187³ + 432³.

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

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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.)

Page of Squares : First Upload September 16, 2008 ; Last Revised November 4, 2008
by Yoshio Mimura, Kobe, Japan

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9338

9338 = (1² + 2² + 3² + ... + 115²) / (1² + 2² + 3² + 4² + 5²).

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

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9339

9339² = 38³ + 298³ + 393³.

9339⁵ = 71039824032138330699, and
7² + 10² + 39² + 8² + 24² + 0² + 32² + 1² + 3² + 8² + 33² + 0² + 69² + 9² = 9339.

Page of Squares : First Upload September 16, 2008 ; Last Revised December 8, 2008
by Yoshio Mimura, Kobe, Japan

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9340

9340⁵ = 71077866134742400000, and
7² + 10² + 7² + 78² + 6² + 6² + 1² + 34² + 7² + 42² + 4² + 0² + 0² + 0² + 0² + 0² = 9340.

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

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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.

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

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9345

2460^k + 2490^k + 3930^k + 9345^k are squares for k = 1,2,3 (135², 10725², 952425²).

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

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9347

9347² = 87366409, and 87 * 3 * 6 * 6 - 40 - 9 = 9347.

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

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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, 2008
by Yoshio Mimura, Kobe, Japan

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9350

1666^k + 2210^k + 5270^k + 9350^k are squares for k = 1,2,3 (136², 11084², 989536²).

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

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9351

9351⁵ = 71497405925846771751, and
7² + 1² + 4² + 9² + 7² + 4² + 0² + 59² + 2² + 58² + 46² + 7² + 7² + 1² + 7² + 5² + 1² = 9351.

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

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9352

9352² = 96³ + 232³ + 420³ = 96³ + 294³ + 394³.

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

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9355

9355² = 92³ + 233³ + 420³.

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

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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.

Page of Squares : First Upload September 16, 2008 ; Last Revised January 11, 2014
by Yoshio Mimura, Kobe, Japan

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9361

9361² = (20² + 7)(464² + 7).

9361² = 33³ + 40³ + 444³.

Page of Squares : First Upload September 16, 2008 ; Last Revised January 11, 2014
by Yoshio Mimura, Kobe, Japan

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9366

9366² = 163³ + 273³ + 398³.

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

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9368

9368² = 80³ + 349³ + 355³.

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

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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, 2008
by Yoshio Mimura, Kobe, Japan

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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, 2014
by Yoshio Mimura, Kobe, Japan

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9373

9373² = 65³ + 180³ + 434³.

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

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9374

8170^k + 9374^k + 20210^k + 28810^k 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.

Page of Squares : First Upload December 8, 2008 ; Last Revised July 18, 2011
by Yoshio Mimura, Kobe, Japan

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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.

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

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9377

9377² = 8⁴ + 11⁴ + 56⁴ + 94⁴.

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

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9380

9380⁴ = 7741254643360000, and
7² + 74² + 12² + 5² + 4² + 6² + 4² + 3² + 3² + 60² + 0² + 0² + 0² = 9380.

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

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9381

9381⁴ = 7744556345991921, and
77² + 44² + 5² + 5² + 6² + 34² + 5² + 9² + 9² + 1² + 9² + 2² + 1² = 9381.

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

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9383

9383⁵ = 72729161674557267143, and
7² + 2² + 7² + 2² + 9² + 1² + 61² + 6² + 7² + 45² + 57² + 2² + 6² + 7² + 1² + 4² + 3² = 9383.

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

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9384

9384² = 88059456, and 8 * 80 * 59 / 4 - 56 = 9384.

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

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9387

9387²± 2 are primes.

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

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9392

9392² = 88209664, and 8820 + 96 * 6 - 4 = 9392.

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

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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.

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

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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.

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

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