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71050

71050² = (1² + 6)(2² + 6)(38² + 6)(223² + 6) = (8² + 6)(38² + 6)(223² + 6).

Page of Squares : First Upload March 29, 2014 ; Last Revised March 29, 2014
by Yoshio Mimura, Kobe, Japan

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71076

71076²± 5 are primes.

Page of Squares : First Upload March 29, 2014 ; Last Revised March 29, 2014
by Yoshio Mimura, Kobe, Japan

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71112

71112²± 5 are primes.

Page of Squares : First Upload March 29, 2014 ; Last Revised March 29, 2014
by Yoshio Mimura, Kobe, Japan

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71127

71127²± 2 are primes.

Page of Squares : First Upload March 29, 2014 ; Last Revised March 29, 2014
by Yoshio Mimura, Kobe, Japan

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71136

71136² = (25² - 1)(37² - 1)(77² - 1).

Page of Squares : First Upload March 29, 2014 ; Last Revised March 29, 2014
by Yoshio Mimura, Kobe, Japan

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71138

71138²± 3 are primes.

Page of Squares : First Upload March 29, 2014 ; Last Revised March 29, 2014
by Yoshio Mimura, Kobe, Japan

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71152

71152² = 993² + 994² + 995² + ... + 2528².

Page of Squares : First Upload November 3, 2012 ; Last Revised November 3, 2012
by Yoshio Mimura, Kobe, Japan

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71154

71154² = (20² + 2)(23² + 2)(154² + 2).

Page of Squares : First Upload March 29, 2014 ; Last Revised March 29, 2014
by Yoshio Mimura, Kobe, Japan

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71175

71175² = (8² + 9)(54² + 9)(154² + 9).

Page of Squares : First Upload March 29, 2014 ; Last Revised March 29, 2014
by Yoshio Mimura, Kobe, Japan

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71180

71180²± 3 are primes.

Page of Squares : First Upload March 29, 2014 ; Last Revised March 29, 2014
by Yoshio Mimura, Kobe, Japan

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71212

71212²± 3 are primes.

Page of Squares : First Upload March 29, 2014 ; Last Revised March 29, 2014
by Yoshio Mimura, Kobe, Japan

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71280

71280² = (2² - 1)(7² - 1)(10² - 1)(23² - 1)(26² - 1) = (4² - 1)(10² - 1)(17² - 1)(109² - 1).

Page of Squares : First Upload March 29, 2014 ; Last Revised March 29, 2014
by Yoshio Mimura, Kobe, Japan

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71289

71289 = 267², a square with different digits.

Page of Squares : First Upload November 3, 2012 ; Last Revised November 3, 2012
by Yoshio Mimura, Kobe, Japan

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71294

71294²± 3 are primes.

Page of Squares : First Upload March 29, 2014 ; Last Revised March 29, 2014
by Yoshio Mimura, Kobe, Japan

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71326

71326²± 3 are primes.

Page of Squares : First Upload March 29, 2014 ; Last Revised March 29, 2014
by Yoshio Mimura, Kobe, Japan

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71340

71340² = (1² + 9)(7² + 9)(27² + 9)(109² + 9).

Page of Squares : First Upload March 29, 2014 ; Last Revised March 29, 2014
by Yoshio Mimura, Kobe, Japan

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71344

71344²± 3 are primes.

71344² = (2² + 3)(5² + 3)(7² + 3)(19² + 3)(37² + 3).

Page of Squares : First Upload March 29, 2014 ; Last Revised March 29, 2014
by Yoshio Mimura, Kobe, Japan

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71331

71331²± 2 are primes.

Page of Squares : First Upload March 29, 2014 ; Last Revised March 29, 2014
by Yoshio Mimura, Kobe, Japan

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71370

71370² = (1² + 9)(2² + 9)(6² + 9)(28² + 9)(33² + 9) = (1² + 9)(24² + 9)(28² + 9)(33² + 9)
= (2² + 9)(3² + 9)(4² + 9)(28² + 9)(33² + 9) = (2² + 9)(6² + 9)(33² + 9)(89² + 9)
= (2² + 9)(21² + 9)(28² + 9)(33² + 9) = (24² + 9)(33² + 9)(89² + 9)
= (3² + 9)(6² + 9)(28² + 9)(89² + 9) = (4² + 9)(15² + 9)(28² + 9)(33² + 9)
= (6² + 9)(11² + 9)(28² + 9)(33² + 9).

Page of Squares : First Upload March 29, 2014 ; Last Revised March 29, 2014
by Yoshio Mimura, Kobe, Japan

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71372

71372²± 3 are primes.

Page of Squares : First Upload March 29, 2014 ; Last Revised March 29, 2014
by Yoshio Mimura, Kobe, Japan

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71379

71379²± 2 are primes.

Page of Squares : First Upload March 29, 2014 ; Last Revised March 29, 2014
by Yoshio Mimura, Kobe, Japan

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71400

71400² = (2² - 1)(6² - 1)(69² - 1)(101² - 1) = (3² - 1)(4² - 1)(6² - 1)(16² - 1)(69² - 1)
= (6² - 1)(11² - 1)(16² - 1)(69² - 1).

Page of Squares : First Upload March 29, 2014 ; Last Revised March 29, 2014
by Yoshio Mimura, Kobe, Japan

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71433

71433² = 5102673489, a square with different digits.

Page of Squares : First Upload November 3, 2012 ; Last Revised November 3, 2012
by Yoshio Mimura, Kobe, Japan

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71442

71442² = (2² + 5)(7² + 5)(32² + 5)(101² + 5).

Page of Squares : First Upload March 29, 2014 ; Last Revised March 29, 2014
by Yoshio Mimura, Kobe, Japan

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71451

71451²± 2 are primes.

Page of Squares : First Upload March 29, 2014 ; Last Revised March 29, 2014
by Yoshio Mimura, Kobe, Japan

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71456

71456² = (1² + 7)(2² + 7)(14² + 7)(15² + 7)(35² + 7) = (1² + 7)(2² + 7)(35² + 7)(217² + 7)
= (1² + 7)(9² + 7)(14² + 7)(189² + 7) = (2² + 7)(7² + 7)(13² + 7)(14² + 7)(15² + 7)
= (2² + 7)(7² + 7)(13² + 7)(217² + 7) = (2² + 7)(7² + 7)(15² + 7)(189² + 7)
= (2² + 7)(14² + 7)(35² + 7)(43² + 7) = (9² + 7)(14² + 7)(15² + 7)(35² + 7)
= (9² + 7)(35² + 7)(217² + 7).

Page of Squares : First Upload March 29, 2014 ; Last Revised March 29, 2014
by Yoshio Mimura, Kobe, Japan

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71464

71464²± 3 are primes.

Page of Squares : First Upload March 29, 2014 ; Last Revised March 29, 2014
by Yoshio Mimura, Kobe, Japan

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71478

71478² = (1² + 2)(2² + 2)(3² + 2)(6² + 2)(13² + 2)(63² + 2)
= (1² + 2)(3² + 2)(6² + 2)(32² + 2)(63² + 2) = (1² + 2)(4² + 2)(6² + 2)(25² + 2)(63² + 2)
= (1² + 2)(6² + 2)(8² + 2)(13² + 2)(63² + 2) = (3² + 2)(4² + 2)(6² + 2)(13² + 2)(63² + 2)
= (6² + 2)(13² + 2)(14² + 2)(63² + 2) = (6² + 2)(63² + 2)(184² + 2).

Page of Squares : First Upload March 29, 2014 ; Last Revised March 29, 2014
by Yoshio Mimura, Kobe, Japan

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71534

71534² = 5117113156, a square with odd digits except the last digit 6.

Page of Squares : First Upload August 31, 2013 ; Last Revised August 31, 2013
by Yoshio Mimura, Kobe, Japan

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71550

71550² = (6² + 9)(9² + 9)(16² + 9)(69² + 9).

Page of Squares : First Upload March 29, 2014 ; Last Revised March 29, 2014
by Yoshio Mimura, Kobe, Japan

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71554

71554²± 3 are primes.

Page of Squares : First Upload March 29, 2014 ; Last Revised March 29, 2014
by Yoshio Mimura, Kobe, Japan

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71577

71577² = (5² + 2)(13775² + 2).

Page of Squares : First Upload March 29, 2014 ; Last Revised March 29, 2014
by Yoshio Mimura, Kobe, Japan

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71610

71610²= 3010 x 3011 + 3011 x 3012 + 3012 x 3013 +...+ 3493 x 3494.

71610² = (1² + 6)(2² + 6)(3² + 6)(5² + 6)(15² + 6)(26² + 6) = (1² + 6)(2² + 6)(57² + 6)(150² + 6)
= (1² + 6)(3² + 6)(4² + 6)(5² + 6)(7² + 6)(36² + 6) = (1² + 6)(3² + 6)(4² + 6)(15² + 6)(98² + 6)
= (1² + 6)(3² + 6)(4² + 6)(26² + 6)(57² + 6) = (1² + 6)(3² + 6)(5² + 6)(6² + 6)(7² + 6)(26² + 6)
= (1² + 6)(3² + 6)(5² + 6)(8² + 6)(150² + 6) = (1² + 6)(3² + 6)(5² + 6)(26² + 6)(48² + 6)
= (1² + 6)(3² + 6)(7² + 6)(26² + 6)(36² + 6) = (1² + 6)(4² + 6)(5² + 6)(18² + 6)(57² + 6)
= (1² + 6)(5² + 6)(7² + 6)(18² + 6)(36² + 6) = (1² + 6)(5² + 6)(12² + 6)(15² + 6)(26² + 6)
= (1² + 6)(15² + 6)(18² + 6)(98² + 6) = (1² + 6)(18² + 6)(26² + 6)(57² + 6)
= (2² + 6)(3² + 6)(5² + 6)(29² + 6)(36² + 6) = (2² + 6)(4² + 6)(5² + 6)(15² + 6)(57² + 6)
= (2² + 6)(5² + 6)(7² + 6)(15² + 6)(36² + 6) = (2² + 6)(5² + 6)(27² + 6)(150² + 6)
= (2² + 6)(15² + 6)(26² + 6)(57² + 6) = (3² + 6)(26² + 6)(708² + 6)
= (3² + 6)(4² + 6)(5² + 6)(26² + 6)(27² + 6) = (3² + 6)(4² + 6)(5² + 6)(708² + 6)
= (3² + 6)(4² + 6)(3942² + 6) = (3² + 6)(5² + 6)(8² + 6)(15² + 6)(26² + 6)
= (3² + 6)(5² + 6)(22² + 6)(150² + 6) = (3² + 6)(5² + 6)(36² + 6)(92² + 6)
= (3² + 6)(6² + 6)(29² + 6)(98² + 6) = (4² + 6)(5² + 6)(6² + 6)(7² + 6)(57² + 6)
= (4² + 6)(5² + 6)(48² + 6)(57² + 6) = (4² + 6)(7² + 6)(36² + 6)(57² + 6)
= (5² + 6)(12² + 6)(29² + 6)(36² + 6) = (5² + 6)(18² + 6)(26² + 6)(27² + 6)
= (5² + 6)(18² + 6)(708² + 6) = (5² + 6)(6² + 6)(13² + 6)(150² + 6)
= (5² + 6)(7² + 6)(36² + 6)(48² + 6) = (6² + 6)(7² + 6)(15² + 6)(98² + 6)
= (6² + 6)(7² + 6)(26² + 6)(57² + 6) = (8² + 6)(57² + 6)(150² + 6) = (13² + 6)(36² + 6)(150² + 6)
= (15² + 6)(48² + 6)(98² + 6) = (18² + 6)(3942² + 6) = (26² + 6)(48² + 6)(57² + 6).

Page of Squares : First Upload November 3, 2012 ; Last Revised March 29, 2014
by Yoshio Mimura, Kobe, Japan

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71614

71614²± 3 are primes.

Page of Squares : First Upload March 29, 2014 ; Last Revised March 29, 2014
by Yoshio Mimura, Kobe, Japan

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71766

71766² = (1² + 2)(4² + 2)(21² + 2)(464² + 2).

Page of Squares : First Upload March 29, 2014 ; Last Revised March 29, 2014
by Yoshio Mimura, Kobe, Japan

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71808

71808² = (33² - 1)(2177² - 1).

Page of Squares : First Upload March 29, 2014 ; Last Revised March 29, 2014
by Yoshio Mimura, Kobe, Japan

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71820

71820² = (2² - 1)(8² - 1)(39² - 1)(134² - 1) = (4² - 1)(7² - 1)(20² - 1)(134² - 1).

Page of Squares : First Upload March 29, 2014 ; Last Revised March 29, 2014
by Yoshio Mimura, Kobe, Japan

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71824

71824 = 268², a zigzag square with different digits.

Page of Squares : First Upload November 3, 2012 ; Last Revised November 3, 2012
by Yoshio Mimura, Kobe, Japan

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71830

71830²± 3 are primes.

Page of Squares : First Upload March 29, 2014 ; Last Revised March 29, 2014
by Yoshio Mimura, Kobe, Japan

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71852

71852² = (2² + 7)(3² + 7)(4² + 7)(8² + 7)(134² + 7) = (2² + 7)(8² + 7)(19² + 7)(134² + 7)
= (4² + 7)(8² + 7)(13² + 7)(134² + 7).

Page of Squares : First Upload March 29, 2014 ; Last Revised March 29, 2014
by Yoshio Mimura, Kobe, Japan

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71874

71874² = (3² + 2)(8² + 2)(19² + 2)(140² + 2).

Page of Squares : First Upload March 29, 2014 ; Last Revised March 29, 2014
by Yoshio Mimura, Kobe, Japan

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71875

71875² = 1660² + 1661² + 1662² + ... + 2717².

Page of Squares : First Upload November 3, 2012 ; Last Revised November 3, 2012
by Yoshio Mimura, Kobe, Japan

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71889

71889²± 2 are primes.

Page of Squares : First Upload March 29, 2014 ; Last Revised March 29, 2014
by Yoshio Mimura, Kobe, Japan

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71898

71898²± 5 are primes.

Page of Squares : First Upload March 29, 2014 ; Last Revised March 29, 2014
by Yoshio Mimura, Kobe, Japan

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71944

71944² = 5175939136, a square with odd digits except the last digit 6.

Page of Squares : First Upload August 31, 2013 ; Last Revised August 31, 2013
by Yoshio Mimura, Kobe, Japan

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71978

71978² = (5² + 9)(8² + 9)(22² + 9)(65² + 9).

Page of Squares : First Upload March 29, 2014 ; Last Revised March 29, 2014
by Yoshio Mimura, Kobe, Japan

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