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61000

61000² = (1² + 4)(2² + 4)(11² + 4)(22² + 4)(39² + 4) = (6² + 4)(11² + 4)(22² + 4)(39² + 4).

Page of Squares : First Upload March 23, 2014 ; Last Revised March 23, 2014
by Yoshio Mimura, Kobe, Japan

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61016

61016² = (15² + 7)(16² + 7)(247² + 7).

Page of Squares : First Upload March 23, 2014 ; Last Revised March 23, 2014
by Yoshio Mimura, Kobe, Japan

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61036

61036²± 3 are primes.

Page of Squares : First Upload March 23, 2014 ; Last Revised March 23, 2014
by Yoshio Mimura, Kobe, Japan

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61152

61152² = (1² + 3)(2² + 3)(3² + 3)(5² + 3)(19² + 3)(33² + 3)
= (1² + 3)(2² + 3)(5² + 3)(7² + 3)(9² + 3)(33² + 3)
= (1² + 3)(3² + 3)(5² + 3)(6² + 3)(7² + 3)(37² + 3)
= (1² + 3)(3² + 3)(5² + 3)(7² + 3)(12² + 3)(19² + 3) = (1² + 3)(3² + 3)(5² + 3)(37² + 3)(45² + 3)
= (1² + 3)(3² + 3)(7² + 3)(33² + 3)(37² + 3) = (1² + 3)(5² + 3)(9² + 3)(19² + 3)(33² + 3)
= (2² + 3)(3² + 3)(5² + 3)(7² + 3)(9² + 3)(19² + 3).

Page of Squares : First Upload March 23, 2014 ; Last Revised March 23, 2014
by Yoshio Mimura, Kobe, Japan

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61236

61236² = (1² + 5)(2² + 5)(7² + 5)(11² + 5)(101² + 5).

Page of Squares : First Upload March 23, 2014 ; Last Revised March 23, 2014
by Yoshio Mimura, Kobe, Japan

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61248

61248² = 1678² + 1679² + 1680² + ... + 2518².

Page of Squares : First Upload September 29, 2012 ; Last Revised September 29, 2012
by Yoshio Mimura, Kobe, Japan

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61256

61256² = (1² + 3)(4² + 3)(11² + 3)(631² + 3) = (1² + 3)(11² + 3)(20² + 3)(137² + 3)
= (4² + 3)(7² + 3)(11² + 3)(175² + 3).

Page of Squares : First Upload March 23, 2014 ; Last Revised March 23, 2014
by Yoshio Mimura, Kobe, Japan

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61258

61258²± 3 are primes.

Page of Squares : First Upload March 23, 2014 ; Last Revised March 23, 2014
by Yoshio Mimura, Kobe, Japan

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61286

61286² = 3755973796, 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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61293

61293²± 2 are primes.

Page of Squares : First Upload March 23, 2014 ; Last Revised March 23, 2014
by Yoshio Mimura, Kobe, Japan

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61320

61320² = (3² - 1)(74² - 1)(293² - 1).

Page of Squares : First Upload March 23, 2014 ; Last Revised March 23, 2014
by Yoshio Mimura, Kobe, Japan

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61369

61369² = 645² + 646² + 647² + ... + 2261².

Page of Squares : First Upload September 29, 2012 ; Last Revised September 29, 2012
by Yoshio Mimura, Kobe, Japan

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61371

61371²± 2 are primes.

Page of Squares : First Upload March 23, 2014 ; Last Revised March 23, 2014
by Yoshio Mimura, Kobe, Japan

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61438

61438²± 3 are primes.

Page of Squares : First Upload March 23, 2014 ; Last Revised March 23, 2014
by Yoshio Mimura, Kobe, Japan

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61440

272² + 61440 = 368², 272² - 61440 = 112².

Page of Squares : First Upload September 29, 2012 ; Last Revised September 29, 2012
by Yoshio Mimura, Kobe, Japan

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61480

61480² = (1² + 4)(7² + 4)(46² + 4)(82² + 4) = (5² + 4)(7² + 4)(34² + 4)(46² + 4).

Page of Squares : First Upload March 23, 2014 ; Last Revised March 23, 2014
by Yoshio Mimura, Kobe, Japan

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61504

61504 = 248², a zigzag square with different digits.

Page of Squares : First Upload September 29, 2012 ; Last Revised September 29, 2012
by Yoshio Mimura, Kobe, Japan

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61506

61506² = (1² + 2)(2² + 2)(7² + 2)(2030² + 2) = (1² + 2)(7² + 2)(20² + 2)(248² + 2)
= (4² + 2)(7² + 2)(2030² + 2).

Page of Squares : First Upload March 23, 2014 ; Last Revised March 23, 2014
by Yoshio Mimura, Kobe, Japan

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61512

61512² = (15² + 8)(16² + 8)(248² + 8).

Page of Squares : First Upload March 23, 2014 ; Last Revised March 23, 2014
by Yoshio Mimura, Kobe, Japan

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61534

61534²± 3 are primes.

Page of Squares : First Upload March 23, 2014 ; Last Revised March 23, 2014
by Yoshio Mimura, Kobe, Japan

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61557

61557²± 2 are primes.

Page of Squares : First Upload March 23, 2014 ; Last Revised March 23, 2014
by Yoshio Mimura, Kobe, Japan

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61560

543² + 61560 = 597², 543² - 61560 = 483².

Page of Squares : First Upload September 29, 2012 ; Last Revised September 29, 2012
by Yoshio Mimura, Kobe, Japan

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61575

61575² = 3791480625, a square with different digits.

Page of Squares : First Upload September 29, 2012 ; Last Revised September 29, 2012
by Yoshio Mimura, Kobe, Japan

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61592

61592²± 3 are primes.

Page of Squares : First Upload March 23, 2014 ; Last Revised March 23, 2014
by Yoshio Mimura, Kobe, Japan

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61614

61614² = (1² + 5)(3² + 5)(22² + 5)(304² + 5).

Page of Squares : First Upload March 23, 2014 ; Last Revised March 23, 2014
by Yoshio Mimura, Kobe, Japan

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61624

61624² = 3797517376, 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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61625

61625² = (5² + 4)(9² + 4)(11² + 4)(111² + 4).

Page of Squares : First Upload March 23, 2014 ; Last Revised March 23, 2014
by Yoshio Mimura, Kobe, Japan

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61650

61650² = (1² + 9)(6² + 9)(26² + 9)(111² + 9) = (3² + 9)(4² + 9)(26² + 9)(111² + 9)
= (21² + 9)(26² + 9)(111² + 9).

Page of Squares : First Upload March 23, 2014 ; Last Revised March 23, 2014
by Yoshio Mimura, Kobe, Japan

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61668

61668² = (1² + 8)(10² + 8)(1978² + 8).

Page of Squares : First Upload March 23, 2014 ; Last Revised March 23, 2014
by Yoshio Mimura, Kobe, Japan

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61719

61719²± 2 are primes.

Page of Squares : First Upload March 23, 2014 ; Last Revised March 23, 2014
by Yoshio Mimura, Kobe, Japan

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61731

61731²± 2 are primes.

Page of Squares : First Upload March 23, 2014 ; Last Revised March 23, 2014
by Yoshio Mimura, Kobe, Japan

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61750

61750²± 3 are primes.

61750² = 1819 x 1820 + 1821 x 1822 + 1823 x 1824 + 1825 x 1826 + ... + 3067 x 3068.

Page of Squares : First Upload September 29, 2012 ; Last Revised March 23, 2014
by Yoshio Mimura, Kobe, Japan

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61776

435² + 61776 = 501², 435² - 61776 = 357².

Page of Squares : First Upload September 29, 2012 ; Last Revised September 29, 2012
by Yoshio Mimura, Kobe, Japan

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61797

61797²± 2 are primes.

Page of Squares : First Upload March 23, 2014 ; Last Revised March 23, 2014
by Yoshio Mimura, Kobe, Japan

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61802

61802²± 3 are primes.

Page of Squares : First Upload March 23, 2014 ; Last Revised March 23, 2014
by Yoshio Mimura, Kobe, Japan

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61816

61816²± 3 are primes.

Page of Squares : First Upload March 23, 2014 ; Last Revised March 23, 2014
by Yoshio Mimura, Kobe, Japan

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61844

61844²± 3 are primes.

Page of Squares : First Upload March 23, 2014 ; Last Revised March 23, 2014
by Yoshio Mimura, Kobe, Japan

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61857

61857² = 1237² + 1239² + 1241² + 1243² + 1245² + ... + 2917².

Page of Squares : First Upload September 29, 2012 ; Last Revised September 29, 2012
by Yoshio Mimura, Kobe, Japan

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61866

61866² = 3827401956, a square with different digits.

Page of Squares : First Upload September 29, 2012 ; Last Revised September 29, 2012
by Yoshio Mimura, Kobe, Japan

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61914

61914²± 5 are primes.

Page of Squares : First Upload March 23, 2014 ; Last Revised March 23, 2014
by Yoshio Mimura, Kobe, Japan

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61929

61929²± 2 are primes.

Page of Squares : First Upload March 23, 2014 ; Last Revised March 23, 2014
by Yoshio Mimura, Kobe, Japan

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61950

61950² = (1² + 6)(3² + 6)(8² + 6)(17² + 6)(42² + 6) = (2² + 6)(17² + 6)(27² + 6)(42² + 6)
= (3² + 6)(12² + 6)(17² + 6)(76² + 6) = (3² + 6)(17² + 6)(22² + 6)(42² + 6)
= (6² + 6)(13² + 6)(17² + 6)(42² + 6).

Page of Squares : First Upload March 23, 2014 ; Last Revised March 23, 2014
by Yoshio Mimura, Kobe, Japan

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61952

61952² = (1² + 7)(2² + 7)(3² + 7)(5² + 7)(9² + 7)(31² + 7)
= (1² + 7)(2² + 7)(3² + 7)(31² + 7)(53² + 7) = (1² + 7)(2² + 7)(9² + 7)(13² + 7)(53² + 7)
= (1² + 7)(5² + 7)(9² + 7)(13² + 7)(31² + 7) = (1² + 7)(9² + 7)(31² + 7)(75² + 7)
= (2² + 7)(11² + 7)(31² + 7)(53² + 7) = (1² + 7)(13² + 7)(31² + 7)(53² + 7)
= (2² + 7)(3² + 7)(11² + 7)(13² + 7)(31² + 7) = (2² + 7)(5² + 7)(9² + 7)(11² + 7)(31² + 7)
= (3² + 7)(9² + 7)(31² + 7)(53² + 7).

Page of Squares : First Upload March 23, 2014 ; Last Revised March 23, 2014
by Yoshio Mimura, Kobe, Japan

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61983

61983²± 2 are primes.

Page of Squares : First Upload March 23, 2014 ; Last Revised March 23, 2014
by Yoshio Mimura, Kobe, Japan

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