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9100 - 9199

9101

91012 = 82828201, and 8282 + 820 - 1 = 9101.

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

9102

91022 = 114 + 194 + 714 + 874.

91022 = 82846404, a square with even digits.

91024 = 6863526655731216, and
62 + 862 + 352 + 22 + 62 + 62 + 52 + 52 + 72 + 32 + 12 + 22 + 162 = 9102.

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

9103

91034 = 6866543424722881, and
62 + 82 + 62 + 62 + 52 + 42 + 342 + 242 + 72 + 222 + 82 + 812 = 9103.

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

9105

91055 = 62574840408790940625, and
62 + 22 + 572 + 42 + 82 + 402 + 402 + 82 + 72 + 92 + 02 + 92 + 402 + 62 + 252 = 9105.

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

9107

91072 = 1213 + 1923 + 4203.

The square root of 9107 is 95.43060305...., and 95 = 42 + 32 + 02 + 62 + 02 + 32 + 02 + 52.

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

9108

91082 = 583 + 1763 + 4263 = 1303 + 3383 + 3483.

91082 = (155 + 156 + 157)2 + (158 + 159 + 160)2 + ... + (440 + 441 + 442)2.

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

9113

91135 = 62850227112125596793, aand
62 + 22 + 82 + 52 + 02 + 22 + 272 + 112 + 212 + 22 + 552 + 92 + 672 + 92 + 32 = 9113.

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

9114

91142 = (22 + 3)(32 + 3)(122 + 3)(822 + 3) = (92 + 3)(122 + 3)(822 + 3).

91142 = 633 + 1493 + 4303.

Page of Squares : First Upload September 1, 2008 ; Last Revised January 11, 2014
by Yoshio Mimura, Kobe, Japan

9116

91165 = 62953746734640536576, and
62 + 22 + 92 + 52 + 32 + 72 + 462 + 72 + 32 + 462 + 42 + 02 + 52 + 362 + 572 + 62 = 9116.

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

9118

91182 = 1233 + 1933 + 4203.

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

9120

91202 = 163 + 2483 + 4083.

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

9125

1 / 9125 = 0.0001095, 102 + 952 = 9125.

91252 = (8 + 9 + 10 + ... + 80)2 + (81 + 82 + 83 + ... + 153)2.

91255 = 63265124298095703125, and
62 + 32 + 22 + 652 + 12 + 242 + 292 + 82 + 02 + 92 + 572 + 02 + 32 + 12 + 22 + 52 = 9125.

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

9126

91265 = 63299797718449889376, and
62 + 32 + 22 + 92 + 92 + 72 + 92 + 72 + 712 + 82 + 442 + 92 + 82 + 82 + 92 + 372 + 62 = 9126.

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

9127

1 / 9127 = 0.000109565026, 12 + 02 + 952 + 62 + 52 + 02 + 22 + 62 = 9127,
1 / 9127 = 0.000109565026, 12 + 02 + 952 + 62 + 52 + 022 + 62 = 9127,
1 / 9127 = 0.000109565026, 12 + 0952 + 62 + 52 + 02 + 22 + 62 = 9127,
1 / 9127 = 0.000109565026, 12 + 0952 + 62 + 52 + 022 + 62 = 9127.

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

9128

91282 = 83320384, and 8 + 3 * 320 * 38 / 4 = 9128.

91284 = 6942286389907456, and
62 + 92 + 422 + 22 + 82 + 62 + 382 + 92 + 92 + 02 + 742 + 52 + 62 = 9128.

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

9134

91342 = 2513 + 2743 + 3613.

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

9137

91372 = 15 + 45 + 165 + 205 + 385.

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

9138

91382 = 574 + 614 + 674 + 794.

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

9140

Loop of length 56 by the function f(N) = ... + c2 + b2 + a2 where N = ... + 1002c + 100b + a:
9140 - 9881 - 16165 - 7947 - ... - 4177 - 7610 - 5876 - 9140
(Note f(9140) = 912 + 402 = 9881,   f(9881) = 982 + 812 = 16165, etc. See 41)

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

9143

91432 = 144 + 264 + 734 + 864.

91432 = 83594449, and 8359 + 4 * 4 * 49 = 9143.

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

9144

91442 = 83612736, and 8 * 3 * 6 * 127 * 3 / 6 = 8 * 3 / 6 * 127 * 3 * 6 = 9144.

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

9145

1488k + 2356k + 9145k + 11036k are squares for k = 1,2,3 (1552, 146012, 14578372).

Page of Squares : First Upload July 15, 2011 ; Last Revised July 15, 2011
by Yoshio Mimura, Kobe, Japan

9151

91515 = 64171586553664770751, and
62 + 412 + 72 + 12 + 52 + 82 + 652 + 532 + 62 + 62 + 42 + 72 + 72 + 02 + 72 + 52 + 12 = 9151.

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

9152

91522 = 83759104, a square with different digits.

91522 = 83759104, and 83 - 7 * 5 + 9104 = 9152.

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

9153

91532 = 24 + 124 + 594 + 924.

The square root of 9153 is 95.6713...., and 95 = 62 + 72 + 12 + 32.

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

9156

91562 = (22 + 3)(32 + 3)(9992 + 3) = (92 + 3)(9992 + 3).

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

9158

91582 = 83868964, and 8 * 3 * 8 * 6 * 8 - 9 * 6 - 4 = 8386 + 8 * 96 + 4 = 9158.

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

9160

91602 = (22 + 4)(152 + 4)(2142 + 4).

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

9162

91622 = 334 + 334 + 514 + 934.

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

9164

91642± 3 are primes.

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

9166

91665 = 64699252715800420576, and
62 + 42 + 692 + 92 + 252 + 22 + 72 + 152 + 82 + 02 + 02 + 42 + 22 + 02 + 572 + 62 = 9166.

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

9169

91694 = 7067859226854721, and
702 + 62 + 72 + 82 + 592 + 22 + 22 + 62 + 82 + 52 + 42 + 72 + 212 = 9169.

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

9170

91702 = 173 + 1843 + 4273 = 353 + 1423 + 4333.

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

9171

91712 = 223 + 413 + 4383.

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

9175

91752 = 53 + 1953 + 4253 = 104 + 204 + 404 + 954.

1 / N = 0.0001089...., and 1089 = 332 for N = 9175, 9176,..., 9182.

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

9176

91762± 3 are primes.

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

9177

91772 = 843 + 1903 + 4253 = 1003 + 2093 + 4203 = 2083 + 2733 + 3803
= 294 + 564 + 664 + 864.

9177k + 9660k + 11454k + 12558k are squares for k = 1,2,3 (2072, 215972, 22709972).

Page of Squares : First Upload September 1, 2008 ; Last Revised July 15, 2011
by Yoshio Mimura, Kobe, Japan

9180

91802 = (12 + 9)(32 + 9)(52 + 9)(92 + 9)(122 + 9) = (32 + 9)(52 + 9)(92 + 9)(392 + 9).

Komachi equations: 91802 = 92 * 82 * 7652 / 42 / 32 * 22 */ 12.

Page of Squares : First Upload November 19, 2010 ; Last Revised January 11, 2014
by Yoshio Mimura, Kobe, Japan

9181

91812 = 45 + 95 + 145 + 275 + 375.

91812 = 84290761, a square with different digita.

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

9184

91842 = 2253 + 3113 + 3503.

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

9186

91862 = 833 + 1383 + 4333.

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

9187

91875 = 65443811020492634707, and
62 + 52 + 442 + 382 + 12 + 12 + 02 + 202 + 492 + 262 + 32 + 472 + 02 + 72 = 9187.

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

9188

91882 = 324 + 644 + 684 + 824.

91882 = 84419344, and 8 - 4 * 41 + 9344 = 9188.

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

9191

91914 = 7135937940219361, and
72 + 12 + 32 + 52 + 92 + 32 + 72 + 942 + 02 + 22 + 12 + 92 + 32 + 62 + 12 = 9191.

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

9192

91924 = 7139044066922496, and
712 + 392 + 02 + 42 + 42 + 02 + 62 + 62 + 92 + 22 + 22 + 492 + 62 = 9192.

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

9194

91945 = 65693514576917208224, and
62 + 562 + 92 + 352 + 12 + 42 + 572 + 62 + 92 + 172 + 202 + 82 + 22 + 242 = 9194.

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

9196

91962 = 3042 + 3052 + 3062 + 3072 + 3082 + 3092 + ... + 6552.

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

9198

91982 = (590 + 591 + 592)2 + (593 + 594 + 595)2 + ... + (659 + 660 + 661)2.

Komachi equation: 91982 = 92 * 8762 / 542 * 32 * 212.

Page of Squares : First Upload September 1, 2008 ; Last Revised November 19, 2010
by Yoshio Mimura, Kobe, Japan

9199

91992 = 2203 + 2893 + 3683.

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