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91000 - 91999

91020

910202 = (12 + 9)(192 + 9)(272 + 9)(552 + 9).

Page of Squares : First Upload April 13, 2014 ; Last Revised April 13, 2014
by Yoshio Mimura, Kobe, Japan

91024

910242± 3 are primes.

Page of Squares : First Upload April 13, 2014 ; Last Revised April 13, 2014
by Yoshio Mimura, Kobe, Japan

91080

10132 + 91080 = 10572, 10132 - 91080 = 9672.

910802 = (22 - 1)(52 - 1)(102 - 1)(242 - 1)(452 - 1).

Page of Squares : First Upload December 22, 2012 ; Last Revised April 13, 2014
by Yoshio Mimura, Kobe, Japan

91086

910862± 5 are primes.

Page of Squares : First Upload April 13, 2014 ; Last Revised April 13, 2014
by Yoshio Mimura, Kobe, Japan

91107

911072± 2 are primes.

Page of Squares : First Upload April 13, 2014 ; Last Revised April 13, 2014
by Yoshio Mimura, Kobe, Japan

91140

911402 = (12 + 6)(22 + 6)(52 + 6)(62 + 6)(82 + 6)(362 + 6)
= (22 + 6)(52 + 6)(62 + 6)(222 + 6)(362 + 6).

Page of Squares : First Upload April 13, 2014 ; Last Revised April 13, 2014
by Yoshio Mimura, Kobe, Japan

91154

911542 = 4270 x 4271 + 4272 x 4273 + 4274 x 4275 + 4276 x 4277 + ... + 5034 x 5035.

Page of Squares : First Upload December 22, 2012 ; Last Revised December 22, 2012
by Yoshio Mimura, Kobe, Japan

91168

911682 = (72 + 7)(172 + 7)(202 + 7)(352 + 7).

Page of Squares : First Upload April 13, 2014 ; Last Revised April 13, 2014
by Yoshio Mimura, Kobe, Japan

91200

912002 = (22 - 1)(92 - 1)(392 - 1)(1512 - 1).

Page of Squares : First Upload April 13, 2014 ; Last Revised April 13, 2014
by Yoshio Mimura, Kobe, Japan

91204

91204 = 3022, a zigzag square with different digits.

Page of Squares : First Upload December 22, 2012 ; Last Revised December 22, 2012
by Yoshio Mimura, Kobe, Japan

91205

912052 = (42 + 1)(62 + 1)(122 + 1)(3022 + 1).

Page of Squares : First Upload November 16, 2013 ; Last Revised November 16, 2013
by Yoshio Mimura, Kobe, Japan

91245

912452 = (32 + 6)(72 + 6)(152 + 6)(2092 + 6).

Page of Squares : First Upload April 13, 2014 ; Last Revised April 13, 2014
by Yoshio Mimura, Kobe, Japan

91248

912482 = 8326197504, a square with different digits.

Page of Squares : First Upload December 22, 2012 ; Last Revised December 22, 2012
by Yoshio Mimura, Kobe, Japan

91250

912502 = (12 + 1)(22 + 1)(272 + 1)(10682 + 1) = (32 + 1)(272 + 1)(10682 + 1)
= (12 + 4)(192 + 4)(21362 + 4).

Page of Squares : First Upload November 16, 2013 ; Last Revised April 13, 2014
by Yoshio Mimura, Kobe, Japan

91252

912522± 3 are primes.

Page of Squares : First Upload April 13, 2014 ; Last Revised April 13, 2014
by Yoshio Mimura, Kobe, Japan

91260

912602 = (12 + 9)(32 + 9)(92 + 9)(7172 + 9) = (22 + 9)(32 + 9)(92 + 9)(152 + 9)(412 + 9).

Page of Squares : First Upload April 13, 2014 ; Last Revised April 13, 2014
by Yoshio Mimura, Kobe, Japan

91278

912782± 5 are primes.

Page of Squares : First Upload April 13, 2014 ; Last Revised April 13, 2014
by Yoshio Mimura, Kobe, Japan

91314

913142 = (52 + 2)(62 + 2)(132 + 2)(2182 + 2) = (132 + 2)(322 + 2)(2182 + 2).

Page of Squares : First Upload April 13, 2014 ; Last Revised April 13, 2014
by Yoshio Mimura, Kobe, Japan

91350

913502 = (12 + 6)(32 + 6)(92 + 6)(122 + 6)(782 + 6).

Page of Squares : First Upload April 13, 2014 ; Last Revised April 13, 2014
by Yoshio Mimura, Kobe, Japan

91398

913982± 5 are primes.

Page of Squares : First Upload April 13, 2014 ; Last Revised April 13, 2014
by Yoshio Mimura, Kobe, Japan

91409

914092 = 30352 + 30362 + 30372 + ... + 37562.

Page of Squares : First Upload December 22, 2012 ; Last Revised December 22, 2012
by Yoshio Mimura, Kobe, Japan

91434

914342= 532 x 533 + 533 x 534 + 534 x 535 + ... + 2932 x 2933.

Page of Squares : First Upload December 22, 2012 ; Last Revised December 22, 2012
by Yoshio Mimura, Kobe, Japan

91439

The quadratic polynomial -91439X2 + 697578X - 438039 takes the values 4102, 7692, 9122, 9432, 8742, 6752 at X = 1, 2,..., 6.

Page of Squares : First Upload December 22, 2012 ; Last Revised December 22, 2012
by Yoshio Mimura, Kobe, Japan

91456

914562± 3 are primes.

Page of Squares : First Upload April 13, 2014 ; Last Revised April 13, 2014
by Yoshio Mimura, Kobe, Japan

91512

915122± 5 are primes.

Page of Squares : First Upload April 13, 2014 ; Last Revised April 13, 2014
by Yoshio Mimura, Kobe, Japan

91520

915202 = (32 - 1)(122 - 1)(212 - 1)(1292 - 1).

Page of Squares : First Upload April 13, 2014 ; Last Revised April 13, 2014
by Yoshio Mimura, Kobe, Japan

91542

915422 = (12 + 2)(62 + 2)(192 + 2)(4502 + 2) = (22 + 2)(32 + 2)(252 + 2)(4502 + 2)
= (62 + 2)(122 + 2)(12292 + 2) = (82 + 2)(252 + 2)(4502 + 2).

Page of Squares : First Upload April 13, 2014 ; Last Revised April 13, 2014
by Yoshio Mimura, Kobe, Japan

91546

915462 = 1390 x 1391 + 1392 x 1393 + 1394 x 1395 + 1396 x 1397 + ... + 3754 x 3755.

Page of Squares : First Upload December 22, 2012 ; Last Revised December 22, 2012
by Yoshio Mimura, Kobe, Japan

91566

915662 = 10282 + 10292 + 10302 + ... + 29712.

Page of Squares : First Upload December 22, 2012 ; Last Revised December 22, 2012
by Yoshio Mimura, Kobe, Japan

91572

915722± 5 are primes.

Page of Squares : First Upload April 13, 2014 ; Last Revised April 13, 2014
by Yoshio Mimura, Kobe, Japan

91590

915902 = 59*60*61 + 61*62*63 + 63*64*65 + 65*66*67 + ... + 507*508*509.

Page of Squares : First Upload October 26, 2013 ; Last Revised October 26, 2013
by Yoshio Mimura, Kobe, Japan

91600

916002 = (12 + 4)(22 + 4)(42 + 4)(152 + 4)(2142 + 4) = (42 + 4)(62 + 4)(152 + 4)(2142 + 4).

Page of Squares : First Upload April 13, 2014 ; Last Revised April 13, 2014
by Yoshio Mimura, Kobe, Japan

91605

916052 = 8391476025, a square with different digits.

Page of Squares : First Upload December 22, 2012 ; Last Revised December 22, 2012
by Yoshio Mimura, Kobe, Japan

91720

917202= 1446 x 1447 + 1447 x 1448 + 1448 x 1449 + ... + 3045 x 3046.

Page of Squares : First Upload December 22, 2012 ; Last Revised December 22, 2012
by Yoshio Mimura, Kobe, Japan

91728

917282 = (12 + 3)(22 + 3)(32 + 3)(62 + 3)(72 + 3)(92 + 3)(122 + 3)
= (12 + 3)(22 + 3)(32 + 3)(92 + 3)(122 + 3)(452 + 3)
= (12 + 3)(32 + 3)(52 + 3)(62 + 3)(122 + 3)(332 + 3)
= (12 + 3)(32 + 3)(62 + 3)(92 + 3)(122 + 3)(192 + 3)
= (22 + 3)(32 + 3)(52 + 3)(62 + 3)(92 + 3)(332 + 3)
= (32 + 3)(52 + 3)(62 + 3)(72 + 3)(92 + 3)(122 + 3)
= (32 + 3)(52 + 3)(92 + 3)(122 + 3)(452 + 3) = (32 + 3)(72 + 3)(92 + 3)(122 + 3)(332 + 3).

Page of Squares : First Upload April 13, 2014 ; Last Revised April 13, 2014
by Yoshio Mimura, Kobe, Japan

91742

917422± 3 are primes.

Page of Squares : First Upload April 13, 2014 ; Last Revised April 13, 2014
by Yoshio Mimura, Kobe, Japan

91756

917562 = (32 + 7)(142 + 7)(16102 + 7).

Page of Squares : First Upload April 13, 2014 ; Last Revised April 13, 2014
by Yoshio Mimura, Kobe, Japan

91762

917622 = 8420264644, a square with even digits.

Page of Squares : First Upload December 22, 2012 ; Last Revised December 22, 2012
by Yoshio Mimura, Kobe, Japan

91800

918002 = (22 - 1)(42 - 1)(162 - 1)(262 - 1)(332 - 1) = (262 - 1)(352 - 1)(1012 - 1).

Page of Squares : First Upload April 13, 2014 ; Last Revised April 13, 2014
by Yoshio Mimura, Kobe, Japan

91809

91809 = 3032, a zigzag square.

Page of Squares : First Upload December 22, 2012 ; Last Revised December 22, 2012
by Yoshio Mimura, Kobe, Japan

91876

918762± 3 are primes.

Page of Squares : First Upload April 13, 2014 ; Last Revised April 13, 2014
by Yoshio Mimura, Kobe, Japan

91881

918812 = (52 + 2)(92 + 2)(112 + 2)(1752 + 2).

Page of Squares : First Upload April 13, 2014 ; Last Revised April 13, 2014
by Yoshio Mimura, Kobe, Japan

91884

918842 = (12 + 3)(62 + 3)(422 + 3)(1752 + 3) = (32 + 3)(42 + 3)(72 + 3)(202 + 3)(422 + 3)
= (32 + 3)(422 + 3)(6312 + 3) = (42 + 3)(62 + 3)(72 + 3)(112 + 3)(422 + 3)
= (42 + 3)(62 + 3)(112 + 3)(152 + 3)(202 + 3) = (42 + 3)(112 + 3)(422 + 3)(452 + 3)
= (72 + 3)(152 + 3)(202 + 3)(422 + 3).

Page of Squares : First Upload April 13, 2014 ; Last Revised April 13, 2014
by Yoshio Mimura, Kobe, Japan

91902

919022 = (52 + 9)(902 + 9)(1752 + 9).

Page of Squares : First Upload April 13, 2014 ; Last Revised April 13, 2014
by Yoshio Mimura, Kobe, Japan

91930

919302 = (72 + 9)(120712 + 9).

Page of Squares : First Upload April 13, 2014 ; Last Revised April 13, 2014
by Yoshio Mimura, Kobe, Japan

91948

919482± 3 are primes.

Page of Squares : First Upload April 13, 2014 ; Last Revised April 13, 2014
by Yoshio Mimura, Kobe, Japan

91972

919722± 3 are primes.

Page of Squares : First Upload April 13, 2014 ; Last Revised April 13, 2014
by Yoshio Mimura, Kobe, Japan

91974

919742± 5 are primes.

Page of Squares : First Upload April 13, 2014 ; Last Revised April 13, 2014
by Yoshio Mimura, Kobe, Japan

91979

919792 = 4003 + 4013 + 4023 + ... + 4933.

Page of Squares : First Upload December 22, 2012 ; Last Revised December 22, 2012
by Yoshio Mimura, Kobe, Japan