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9200 - 9299

9200

92002 = 204 + 404 + 804 + 804 = 35 + 95 + 255 + 275 + 365.

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

9201

92012 = 1413 + 2593 + 4013.

92012 = 84658401, and 8 * 46 * 5 / 8 * 40 + 1 = 9201.

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

9202

92022 = 393 + 2423 + 4133.

5289k + 9202k + 12986k + 18748k are squares for k = 1,2,3 (2152, 251552, 31155652).

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

9203

92034 = 7173278427553681, and
72 + 172 + 322 + 72 + 82 + 42 + 22 + 72 + 552 + 32 + 682 + 12 = 9203.

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

9204

92042 = 1043 + 2823 + 3943.

92045 = 66051555556261377024, and
62 + 62 + 02 + 512 + 52 + 52 + 52 + 52 + 52 + 62 + 262 + 132 + 72 + 702 + 242 = 9204.

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

9205

92055 = 66087445337828753125, and
662 + 02 + 82 + 72 + 42 + 452 + 332 + 72 + 82 + 282 + 72 + 52 + 32 + 12 + 252 = 9205.

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

9206

92062± 3 are primes.

92062 = 1153 + 1693 + 4283.

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

9207

92072 = 64 + 544 + 664 + 874 = 364 + 534 + 744 + 824.

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

9208

92082 = 84787264, and 8478 + 726 + 4 = 9208.

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

9210

92104 = 7195127940810000, and
72 + 12 + 92 + 52 + 12 + 22 + 72 + 942 + 02 + 82 + 102 + 02 + 02 + 02 = 9210.

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

9211

92112 = 173 + 1863 + 4283.

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

9212

92122 = 1473 + 2243 + 4133.

Komachi equation: 92122 = 9872 / 62 / 52 * 42 / 32 * 2102.

Page of Squares : First Upload September 8, 2008 ; Last Revised November 19, 2010
by Yoshio Mimura, Kobe, Japan

9213

92132 = 84879369, and 82 + 42 + 82 + 72 + 92 + 32 + 62 + 92 = 202.

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

9214

92144 = 7207635765657616, and
72 + 22 + 02 + 72 + 62 + 352 + 72 + 652 + 62 + 572 + 62 + 162 = 9214.

92145 = 66411155944769273824, and
662 + 412 + 12 + 12 + 52 + 52 + 92 + 42 + 472 + 62 + 92 + 22 + 72 + 32 + 82 + 242 = 9214.

Page of Squares : First Upload December 1, 2008 ; Last Revised December 8, 2008
by Yoshio Mimura, Kobe, Japan

9215

92152 = 2383 + 3123 + 3453.

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

9216

The square of 96.

92162 = 223 + 2523 + 4103.

Komachi equations:
92162 = 122 / 32 * 42 * 562 / 72 * 82 * 92,
92162 = 14 * 24 / 34 / 44 * 564 / 74 * 84 * 94 = 94 * 84 * 74 * 64 * 54 * 44 / 34 / 2104
 = 94 * 84 / 74 / 64 / 54 * 44 / 34 * 2104.

Page of Squares : First Upload September 8, 2008 ; Last Revised November 19, 2010
by Yoshio Mimura, Kobe, Japan

9218

92182 = 94 + 514 + 774 + 814.

92182 = 84971524, and 82 + 42 + 92 + 72 + 12 + 52 + 22 + 42 = 162.

92183 = 783267508232, and 72 + 82 + 322 + 672 + 502 + 82 + 22 + 322 = 9218.

Page of Squares : First Upload September 8, 2008 ; Last Revised December 1, 2008
by Yoshio Mimura, Kobe, Japan

9219

92192 = 583 + 1613 + 4323.

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

9222

92225 = (92 + 6)(102 + 6)(962 + 6).

92225 = 66699962449168129632, and
62 + 62 + 62 + 92 + 92 + 92 + 62 + 22 + 42 + 42 + 92 + 162 + 812 + 292 + 62 + 322 = 9222.

Page of Squares : First Upload December 8, 2008 ; Last Revised January 11, 2014
by Yoshio Mimura, Kobe, Japan

9223

92232 = 85063729, a square with different digits.

92234 = 7235837991385441, and
72 + 22 + 32 + 52 + 832 + 72 + 92 + 92 + 12 + 32 + 82 + 52 + 442 + 12 = 9223.

Page of Squares : First Upload September 8, 2008 ; Last Revised December 1, 2008
by Yoshio Mimura, Kobe, Japan

9225

92252 = (62 + 9)(142 + 9)(962 + 9).

92252 = 504 + 504 + 754 + 804.

Page of Squares : First Upload September 8, 2008 ; Last Revised January 11, 2014
by Yoshio Mimura, Kobe, Japan

9228

92282± 5 are primes.

92284 = 7251541611008256, and
722 + 52 + 12 + 542 + 162 + 112 + 02 + 02 + 82 + 252 + 62 = 9228.

Page of Squares : First Upload December 1, 2008 ; Last Revised January 18, 2014
by Yoshio Mimura, Kobe, Japan

9233

92332 = 484 + 634 + 664 + 824.

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

9234

92342 = (12 + 2)(22 + 2)(52 + 2)(132 + 2)(322 + 2) = (132 + 2)(222 + 2)(322 + 2)
= (42 + 2)(52 + 2)(132 + 2)(322 + 2) = (52 + 2)(62 + 2)(132 + 2)(222 + 2).

92342 = 93 + 3153 + 3783.

Komachi equations:
92342 = 92 * 82 * 762 * 542 / 322 */ 12.

Page of Squares : First Upload September 8, 2008 ; Last Revised January 11, 2014
by Yoshio Mimura, Kobe, Japan

9235

92352 = 85285225, a square with just 3 kinds of digits.

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

9237

The square root of 9237 is 96.109312...., and 96 = 12 + 02 + 92 + 32 + 12 + 22.

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

9239

9239 is the second prime for which the Lendre Symbol (a / 9239) = 1 for a = 1,2,...,18.

92395 = 67317012750590110199,
62 + 732 + 12 + 72 + 02 + 12 + 22 + 72 + 52 + 02 + 592 + 02 + 12 + 102 + 12 + 92 + 92 = 9239.

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

9240

92402 = (132 - 1)(212 - 1)(342 - 1) = (22 - 1)(62 - 1)(212 - 1)(432 - 1) = (32 - 1)(432 - 1)(762 - 1).

92402 = 1643 + 1683 + 4243.

The integral triangle of sides 10549, 16354, 18153 (or 7673, 23657, 27234)(or 15051, 15155, 27544) has square area 92402.

2212 + 9240 = 2412, 2212 - 9240 = 1992.

92402 = 85377600,
and 8 * 5 * 3 * 77 + 6 * 0 + 0 = 8 * 5 * 3 * 77 + 6 * 0 * 0 = 8 * 5 * 3 * 77 - 6 * 0 + 0
= 8 * 5 * 3 * 77 - 6 * 0 * 0 = 8 * 5 * 3 * 77 + 60 * 0 = 8 * 5 * 3 * 77 - 60 * 0 = 9240.

Page of Squares : First Upload September 8, 2008 ; Last Revised January 11, 2014
by Yoshio Mimura, Kobe, Japan

9241

92413 = 789145184521, and 72 + 82 + 912 + 42 + 52 + 182 + 42 + 52 + 212 = 9241.

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

9242

92422 = 403 + 2133 + 4233.

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

9244

92442± 3 are primes.

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

9245

1 / 9245 = 0.00010816...., and 10816 = 1042.

92452 = (108 + 109 + 110 + ... + 150)2 + (151 + 152 + 153 + ... + 193)2.

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

9248

92482 = 243 + 2183 + 4223 = 684 + 684 + 684 + 684.

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

9250

92502 = (12 + 1)(22 + 1)(432 + 1)(682 + 1) = (12 + 1)(22 + 1)(62 + 1)(72 + 1)(682 + 1)
= (32 + 1)(432 + 1)(682 + 1) = (32 + 1)(62 + 1)(72 + 1)(682 + 1).

Page of Squares : First Upload November 2, 2013 ; Last Revised November 2, 2013
by Yoshio Mimura, Kobe, Japan

9252

92522 = 64 + 244 + 244 + 964.

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

9253

92532 = 753 + 3193 + 3753 = 1693 + 1783 + 4223.

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

9255

92552 = 813 + 3283 + 3683.

1 / 9255 = 0.00010804970286331, 102 + 82 + 0492 + 702 + 282 + 62 + 32 + 312 = 9255.

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

9257

92575 = 67975329062652938057, and
672 + 92 + 72 + 52 + 322 + 92 + 02 + 62 + 22 + 62 + 52 + 22 + 92 + 32 + 82 + 02 + 572 = 9257.

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

9259

92592 = 85729081, a zigzag square.

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

9261

92612 = 493 + 2943 + 3923 = 663 + 2253 + 4203.

Komachi equations:
92612 = 982 * 72 / 62 * 542 * 32 / 22 */ 12,
92612 = 123 - 33 * 43 + 563 * 73 / 83 * 93 = 123 / 33 - 43 + 563 * 73 / 83 * 93
 = 123 / 33 / 43 * 563 * 73 / 83 * 93 = - 123 + 33 * 43 + 563 * 73 / 83 * 93
 = - 123 / 33 + 43 + 563 * 73 / 83 * 93,
92612 = 16 * 26 / 36 * 46 * 5676 / 86 / 96 = 16 / 26 / 36 / 46 * 5676 * 86 / 96
 = 986 / 76 / 66 * 546 / 36 / 26 */ 16 = 96 * 86 * 76 / 66 / 56 * 46 / 326 * 106
 = 96 / 86 * 76 / 66 / 56 / 46 * 326 * 106 = 986 / 76 * 66 / 56 * 46 / 326 * 106.

Page of Squares : First Upload September 8, 2008 ; Last Revised November 19, 2010
by Yoshio Mimura, Kobe, Japan

9266

9266 = (12 + 22 + 32 + ... + 4512) / (12 + 22 + 32 + ... + 212).

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

9267

92672 = 293 + 3433 + 3573.

92672 = 85877289, and 82 + 52 + 82 + 72 + 72 + 22 + 82 + 92 = 202.

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

9269

92692 = 85914361, a zigzag square.

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

9270

92702 = 453 + 2713 + 4043 = 1383 + 1873 + 4253.

The integral triangle of sides 1546, 2185455, 2186999 has square area 92702.

92705 = 68453974813340700000, and
62 + 82 + 452 + 392 + 742 + 82 + 12 + 32 + 32 + 42 + 02 + 72 + 02 + 02 + 02 + 02 + 02 = 9270.

Page of Squares : First Upload September 8, 2008 ; Last Revised October 21, 2011
by Yoshio Mimura, Kobe, Japan

9272

9272 = (12 + 22 + 32 + ... + 3042) / (12 + 22 + 32 + ... + 142).

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

9273

92732 = 464 + 514 + 624 + 884.

165k + 7029k + 9273k + 22737k are squares for k = 1,2,3 (1982, 255422, 35915222).

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

9274

92742 = 903 + 2753 + 4013.

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

9277

92775 = 68712821656797870157, and
62 + 82 + 72 + 12 + 282 + 22 + 162 + 52 + 62 + 72 + 92 + 72 + 872 + 02 + 152 + 72
= 62 + 872 + 12 + 282 + 22 + 162 + 52 + 62 + 72 + 92 + 72 + 82 + 72 + 02 + 152 + 72 = 9277.

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

9280

92802 = 733 + 1043 + 4393.

The square root of 9280 is 96.33275...., and 96 = 32 + 32 + 22 + 72 + 52.

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

9282

9282 = (12 + 22 + 32 + ... + 2202) / (12 + 22 + 32 + ... + 102).

92822 = 86155524, and 82 + 62 + 12 + 52 + 52 + 52 + 22 + 42 = 142.

The integral triangle of sides 6425, 30073, 33474 (or 9415, 48841, 57678) has square area 92822.

Page of Squares : First Upload September 8, 2008 ; Last Revised October 21, 2011
by Yoshio Mimura, Kobe, Japan

9283

92832 = 143 + 743 + 4413.

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

9284

92842 = 86192656, and 8 + 6 - 1 + 9265 + 6 = 9284.

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

9288

92882 = (12 + 8)(82 + 8)(112 + 8)(322 + 8).

92882 = 86266944, and 82 + 62 + 22 + 62 + 62 + 92 + 42 + 42 = 172.

Page of Squares : First Upload September 8, 2008 ; Last Revised January 11, 2014
by Yoshio Mimura, Kobe, Japan

9289

92892 = 1333 + 1573 + 4313.

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

9291

92912 = 903 + 1643 + 4333.

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

9292

92925 = 69270130471841631232, and
62 + 92 + 22 + 72 + 02 + 132 + 02 + 472 + 12 + 82 + 412 + 632 + 12 + 22 + 322 = 9292.

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

9294

92942 = 86378436, and 86 * 3 / 7 * 84 * 3 + 6 = 9294.

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

9295

92952 = 86397025, a square with different digits.

1 / 9295 = 0.000107584...., and 107584 = 3282.

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

9296

92962 = 283 + 1523 + 4363.

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

9297

92972 = 2483 + 2493 + 3823.

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

9298

92982 = 1033 + 1243 + 4373.

92982 = 86452804, and 82 + 62 + 42 + 52 + 22 + 82 + 02 + 42 = 152.

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

9299

1 / 9299 = 0.000107538444994, 102 + 752 + 382 + 42 + 442 + 92 + 92 + 42 = 9299,
1 / 9299 = 0.000107538444994, 102 + 752 + 382 + 442 + 42 + 92 + 92 + 42 = 9299.

92995 = 69531442372205146499, and
62 + 92 + 532 + 12 + 42 + 422 + 372 + 222 + 02 + 52 + 142 + 62 + 492 + 92
= 62 + 92 + 532 + 142 + 422 + 372 + 222 + 02 + 52 + 12 + 42 + 62 + 492 + 92 = 9299.

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