7100
71002 = 63 + 553 + 3693 = 943 + 2783 + 3043.
Page of Squares : First Upload April 7, 2008 ; Last Revised April 7, 2008by Yoshio Mimura, Kobe, Japan
7102
71022 = 603 + 1473 + 3613.
Page of Squares : First Upload April 7, 2008 ; Last Revised April 7, 2008by Yoshio Mimura, Kobe, Japan
7106
71062 = 50495236, and 52 + 02 + 42 + 92 + 52 + 22 + 32 + 62 = 142.
7106k + 33022k + 40546k + 94050k are squares for k = 1,2,3 (4182, 1078442, 305767002).
638k + 4378k + 7106k + 11594k are squares for k = 1,2,3 (1542, 143002, 14147322).
by Yoshio Mimura, Kobe, Japan
7108
71082 = 324 + 584 + 644 + 684.
Page of Squares : First Upload April 7, 2008 ; Last Revised April 7, 2008by Yoshio Mimura, Kobe, Japan
7109
71095 = 18156936350131874549 :
182 + 12 + 52 + 62 + 92 + 32 + 62 + 32 + 502 + 12 + 312 + 82 + 72 + 42 + 542 + 92 = 7109.
by Yoshio Mimura, Kobe, Japan
7111
71115 = 18182491499287016551 :
12 + 812 + 82 + 22 + 42 + 92 + 12 + 42 + 92 + 92 + 22 + 82 + 72 + 02 + 12 + 62 + 52 + 52 + 12 = 7111.
by Yoshio Mimura, Kobe, Japan
7112
71122 = (12 + 7)(72 + 7)(3362 + 7) = (212 + 7)(3362 + 7).
Page of Squares : First Upload December 8, 2008 ; Last Revised January 11, 2014by Yoshio Mimura, Kobe, Japan
7113
71135 = 18208075414611986793 :
12 + 82 + 22 + 02 + 802 + 72 + 52 + 42 + 142 + 62 + 12 + 12 + 92 + 82 + 62 + 72 + 92 + 32 = 7113.
by Yoshio Mimura, Kobe, Japan
7114
(71142 + 4) = (12 + 4)(32 + 4)(62 + 4)(92 + 4)(152 + 4).
Page of Squares : First Upload April 7, 2008 ; Last Revised April 7, 2008by Yoshio Mimura, Kobe, Japan
7115
71152 = 503 + 2463 + 3293.
Page of Squares : First Upload April 7, 2008 ; Last Revised April 7, 2008by Yoshio Mimura, Kobe, Japan
7116
71162 = 50637456, and 52 + 02 + 62 + 32 + 72 + 42 + 52 + 62 = 142.
71162 = 43 + 1983 + 3503 = 493 + 1623 + 3593.
Page of Squares : First Upload April 7, 2008 ; Last Revised April 7, 2008by Yoshio Mimura, Kobe, Japan
7118
71185 = 18272161214279737568 :
182 + 272 + 22 + 12 + 62 + 12 + 212 + 42 + 272 + 92 + 72 + 32 + 72 + 52 + 682
= 182 + 272 + 212 + 62 + 12 + 22 + 12 + 42 + 272 + 92 + 72 + 32 + 72 + 52 + 682 = 7118.
Komachi equations: 71182 = 3583 + 35 + 97.
Page of Squares : First Upload December 8, 2008 ; Last Revised November 5, 2010by Yoshio Mimura, Kobe, Japan
7121
71213 = 361096232561, and 32 + 62 + 12 + 02 + 92 + 622 + 32 + 22 + 562 + 12 = 7121.
Komachi equation: 71202 = 94 * 84 + 764 - 544 - 324 + 104.
Page of Squares : First Upload November 5, 2010 ; Last Revised November 5, 2010by Yoshio Mimura, Kobe, Japan
7122
71225 = 18323559666218041632 :
12 + 82 + 322 + 32 + 552 + 92 + 62 + 62 + 62 + 22 + 12 + 82 + 02 + 412 + 62 + 322 = 7122.
by Yoshio Mimura, Kobe, Japan
7124
Loop of length 5 by the function f(N) = ... + c2 + b2 + a2 where N = ... + 1002c + 100b + a:
7124 - 5617 - 3425 - 1781 - ... - 3425 - 1781 - 6850 - 7124
(Note f(7124) = 712 + 242 = 5617, f(5617) = 562 + 172 = 3425, etc. See 1781)
by Yoshio Mimura, Kobe, Japan
7127
71272 = 723 + 1503 + 3613 = 1573 + 2473 + 3173.
Page of Squares : First Upload April 7, 2008 ; Last Revised April 7, 2008by Yoshio Mimura, Kobe, Japan
7128
71282 = 50808384, a zigzag square.
71282 = 4! + 5! + 7! + 10! + 10! + 10! + 11!
71282 = (12 + 8)(42 + 8)(172 + 8)(282 + 8) = (12 + 8)(82 + 8)(162 + 8)(172 + 8)
= (12 + 8)(82 + 8)(2802 + 8) = (52 + 8)(282 + 8)(442 + 8).
71282 = 903 + 2163 + 3423.
Page of Squares : First Upload April 7, 2008 ; Last Revised January 11, 2014by Yoshio Mimura, Kobe, Japan
7130
71305 = 18426703563479300000 :
12 + 82 + 42 + 22 + 672 + 02 + 352 + 62 + 342 + 72 + 92 + 32 + 02 + 02 + 02 + 02 + 02 = 7130.
by Yoshio Mimura, Kobe, Japan
7132
71325 = 18452561970246802432 :
182 + 42 + 52 + 22 + 52 + 62 + 12 + 92 + 702 + 22 + 42 + 62 + 82 + 02 + 242 + 322
= 182 + 42 + 52 + 22 + 52 + 62 + 12 + 92 + 702 + 242 + 62 + 82 + 02 + 22 + 42 + 322 = 7132.
by Yoshio Mimura, Kobe, Japan
7133
71332 = 50879689, and 52 + 02 + 82 + 72 + 92 + 62 + 82 + 92 = 202.
Page of Squares : First Upload April 7, 2008 ; Last Revised April 7, 2008by Yoshio Mimura, Kobe, Japan
7134
2958k + 7134k + 24708k + 33321k are squares for k = 1,2,3 (2612, 421952, 72435332).
Page of Squares : First Upload July 5, 2011 ; Last Revised July 5, 2011by Yoshio Mimura, Kobe, Japan
7136
71362± 3 are primes.
71365 = 18504365873536434176 :
12 + 82 + 52 + 02 + 42 + 32 + 62 + 52 + 82 + 732 + 52 + 32 + 62 + 42 + 342 + 172 + 62
= 12 + 82 + 502 + 42 + 362 + 52 + 82 + 72 + 32 + 52 + 362 + 42 + 32 + 412 + 72 + 62 = 7136.
by Yoshio Mimura, Kobe, Japan
7140
71402 = (92 - 1)(162 - 1)(502 - 1).
71402 = 198 * 199 * 200 + 200 * 201 * 202 + 202 * 203 * 204 + ... + 208 * 209 * 210..
The integral triangle of sides 7208, 14295, 16913 (or 6713, 15912, 19025)(or 1433, 77600, 78183) has square area 71402.
Komachi equation: 71402 = 12 / 22 * 342 * 52 / 62 * 72 * 82 * 92.
Page of Squares : First Upload April 7, 2008 ; Last Revised January 11, 2014by Yoshio Mimura, Kobe, Japan
7141
Loop of length 6 by the function f(N) = b2 + a2 for N = 100b + a:
7141 - 6722 - 4973 - 7730 - 6829 - 5465 - 7141 (Note f(7141) = 712 + 412 = 6722.)
by Yoshio Mimura, Kobe, Japan
7144
71442 = 51036736, and 512 + 02 + 32 + 672 + 32 + 62.
7144 = (12 + 22 + 32 + ... + 472) / (12 + 22).
71445 = 18608322723436724224 :
182 + 62 + 02 + 82 + 322 + 22 + 72 + 232 + 42 + 32 + 672 + 22 + 42 + 22 + 242
= 182 + 62 + 02 + 82 + 32 + 222 + 72 + 22 + 342 + 32 + 672 + 22 + 42 + 222 + 42
= 182 + 62 + 02 + 82 + 322 + 22 + 72 + 232 + 42 + 32 + 672 + 242 + 22 + 22 + 42 = 7144.
by Yoshio Mimura, Kobe, Japan
7145
71452 = 51051025, and 52 + 12 + 02 + 52 + 12 + 02 + 22 + 52 = 92.
71452 = 753 + 2013 + 3493.
Page of Squares : First Upload April 7, 2008 ; Last Revised April 7, 2008by Yoshio Mimura, Kobe, Japan
7152
71522 = 203 + 2083 + 3483.
Page of Squares : First Upload April 7, 2008 ; Last Revised April 7, 2008by Yoshio Mimura, Kobe, Japan
7154
71542 = 51179716, a square with odd digits except the last digit 6.
Page of Squares : First Upload August 24, 2013 ; Last Revised August 24, 2013by Yoshio Mimura, Kobe, Japan
7155
71552 = (260 + 261 + 262)2 + (263 + 264 + 265)2 + (266 + 267 + 268)2 + ... + (407 + 408 + 409)2.
71554 = 2620828195700625,
and 262 + 202 + 82 + 22 + 82 + 192 + 52 + 702 + 02 + 62 + 252 = 7155.
by Yoshio Mimura, Kobe, Japan
7161
496k + 5270k + 7161k + 11098k are squares for k = 1,2,3 (1552, 142292, 13713472).
Page of Squares : First Upload July 5, 2011 ; Last Revised July 5, 2011by Yoshio Mimura, Kobe, Japan
7166
71662 = 51351556, a square with odd digits except the last digit 6.
71662 = 55 + 155 + 225 + 345.
Page of Squares : First Upload April 7, 2008 ; Last Revised August 24, 2013by Yoshio Mimura, Kobe, Japan
7167
71675 = 18909803779633220607 :
182 + 92 + 02 + 92 + 82 + 02 + 372 + 72 + 92 + 62 + 32 + 322 + 202 + 602 + 72 = 7167.
by Yoshio Mimura, Kobe, Japan
7168
71682 = (32 + 7)(72 + 7)(112 + 7)(212 + 7).
71682 = 324 + 644 + 644 + 644.
Page of Squares : First Upload April 7, 2008 ; Last Revised January 11, 2014by Yoshio Mimura, Kobe, Japan
7171
71712 = 51423241, a zigzag square.
Page of Squares : First Upload April 7, 2008 ; Last Revised April 7, 2008by Yoshio Mimura, Kobe, Japan
7172
71722 = 51437584, a zigzag square.
71722 = 84 + 164 + 684 + 744.
71723 = 368910352448, and 32 + 682 + 92 + 102 + 32 + 52 + 22 + 42 + 482 = 7172.
Page of Squares : First Upload April 7, 2008 ; Last Revised December 1, 2008by Yoshio Mimura, Kobe, Japan
7173
71732± 2 are primes.
Page of Squares : First Upload January 11, 2014 ; Last Revised January 11, 2014by Yoshio Mimura, Kobe, Japan
7176
71762 = 233 + 1693 + 3603 = 1003 + 2723 + 3123 = 1223 + 1563 + 3583.
Page of Squares : First Upload April 7, 2008 ; Last Revised April 7, 2008by Yoshio Mimura, Kobe, Japan
7177
71772 = 2303 + 2363 + 2973.
Page of Squares : First Upload April 7, 2008 ; Last Revised April 7, 2008by Yoshio Mimura, Kobe, Japan
7179
71792 = 51538041, a zigzag square.
Page of Squares : First Upload April 7, 2008 ; Last Revised April 7, 2008by Yoshio Mimura, Kobe, Japan
7180
71802 = 185 x 186 + 186 x 187 + 187 x 188 + ... + 543 x 544.
Page of Squares : First Upload April 7, 2008 ; Last Revised April 7, 2008by Yoshio Mimura, Kobe, Japan
7181
71812 = 643 + 1023 + 3693.
Page of Squares : First Upload April 7, 2008 ; Last Revised April 7, 2008by Yoshio Mimura, Kobe, Japan
7182
71822 = 174 + 434 + 694 + 714.
Page of Squares : First Upload April 7, 2008 ; Last Revised April 7, 2008by Yoshio Mimura, Kobe, Japan
7184
71844 = 2663577236340736,
and 22 + 62 + 62 + 32 + 572 + 72 + 22 + 362 + 342 + 02 + 72 + 362 = 7184.
by Yoshio Mimura, Kobe, Japan
7186
71862 = 51638596, a zigzag square.
71862 = 254 + 454 + 454 + 814.
Loop of length 14 by the function f(N) = ... + c2 + b2 + a2 where N = ... + 1002c + 100b + a:
7186 - 12437 - 1946 - 2477 - ... - 8731 - 8530 - 8125 - 7186
(Note f(7186) = 712 + 862 = 12437, f(12437) = 12 + 242 + 372 = 1946, etc. See 1946)
by Yoshio Mimura, Kobe, Japan
7187
71872 = 51652969, and 52 + 12 + 62 + 52 + 22 + 92 + 62 + 92 = 172.
Page of Squares : First Upload April 7, 2008 ; Last Revised April 7, 2008by Yoshio Mimura, Kobe, Japan
7188
1 / 7188 = 0.000139120756, 12 + 392 + 12 + 22 + 02 + 752 + 62 = 7188,
1 / 7188 = 0.000139120756, 12 + 392 + 12 + 22 + 0752 + 62 = 7188.
71882 = 163 + 1943 + 3543.
71883 = 371384868672, and 32 + 72 + 132 + 82 + 482 + 62 + 82 + 672 + 22 = 7188.
Page of Squares : First Upload April 7, 2008 ; Last Revised December 1, 2008by Yoshio Mimura, Kobe, Japan
7190
71902 = 993 + 2493 + 3283.
Page of Squares : First Upload April 7, 2008 ; Last Revised April 7, 2008by Yoshio Mimura, Kobe, Japan
7191
71912 = 51710481, and 5 + 1 + 7104 + 81 = 7191.
Page of Squares : First Upload April 7, 2008 ; Last Revised April 7, 2008by Yoshio Mimura, Kobe, Japan
7192
71922 = 1963 + 2403 + 3123.
Page of Squares : First Upload April 7, 2008 ; Last Revised April 7, 2008by Yoshio Mimura, Kobe, Japan
7196
71962 = 51782416, and 52 + 12 + 72 + 82 + 22 + 42 + 12 + 62 = 142.
71962 = 1943 + 2073 + 3293.
Page of Squares : First Upload April 7, 2008 ; Last Revised April 7, 2008by Yoshio Mimura, Kobe, Japan
7197
71972 = 443 + 2203 + 3453.
Page of Squares : First Upload April 7, 2008 ; Last Revised April 7, 2008by Yoshio Mimura, Kobe, Japan
7198
7198k + 16874k + 20650k + 80594k are squares for k = 1,2,3 (3542, 851962, 231834602).
Page of Squares : First Upload July 5, 2011 ; Last Revised July 5, 2011by Yoshio Mimura, Kobe, Japan