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62002

62002² = 3844248004, and 3844 = 62², 248004 = 498².

Page of Squares : First Upload October 6, 2012 ; Last Revised October 6, 2012
by Yoshio Mimura, Kobe, Japan

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62008

62008² = (1² + 7)(88² + 7)(249² + 7).

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

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62010

62010² = (2² + 9)(3² + 9)(6² + 9)(16² + 9)(37² + 9) = (2² + 9)(3² + 9)(16² + 9)(249² + 9)
= (2² + 9)(6² + 9)(37² + 9)(69² + 9) = (2² + 9)(15² + 9)(16² + 9)(69² + 9)
= (2² + 9)(69² + 9)(249² + 9) = (3² + 9)(16² + 9)(24² + 9)(37² + 9)
= (6² + 9)(15² + 9)(16² + 9)(37² + 9) = (6² + 9)(37² + 9)(249² + 9)
= (15² + 9)(16² + 9)(249² + 9) = (24² + 9)(37² + 9)(69² + 9).

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

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62016

62016² = (3² - 1)(18² - 1)(33² - 1)(37² - 1).

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

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62019

62019²± 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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62025

62025²± 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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62050

62050² = (4² + 1)(27² + 1)(557² + 1).

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

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62072

62072²± 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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62073

62073² = (1² + 8)(7² + 8)(17² + 8)(159² + 8) = (5² + 8)(7² + 8)(17² + 8)(83² + 8).

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

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62086

62086²± 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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62112

62112²± 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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62156

62156 ² = 3863368336, a square with 3 kinds of digits.

Page of Squares : First Upload October 6, 2012 ; Last Revised October 6, 2012
by Yoshio Mimura, Kobe, Japan

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62176

62176² = (3² + 7)(15² + 7)(23² + 7)(44² + 7).

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

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62192

62192²± 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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62236

62236²± 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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62244

62244² = (2² + 3)(3² + 3)(6² + 3)(15² + 3)(72² + 3) = (3² + 3)(4² + 3)(6² + 3)(9² + 3)(72² + 3)
= (6² + 3)(9² + 3)(15² + 3)(72² + 3).

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

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62313

62313²± 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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62338

62338² = 2327² + 2328² + 2329² + ... + 2894².

Page of Squares : First Upload October 6, 2012 ; Last Revised October 6, 2012
by Yoshio Mimura, Kobe, Japan

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62355

62355²± 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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62400

626² + 62400 = 674², 626² - 62400 = 574².

62400² = (2² - 1)(9² - 1)(51² - 1)(79² - 1) = (3² - 1)(14² - 1)(31² - 1)(51² - 1)
= (4² - 1)(9² - 1)(14² - 1)(129² - 1) = (25² - 1)(49² - 1)(51² - 1).

Page of Squares : First Upload October 6, 2012 ; Last Revised March 23, 2014
by Yoshio Mimura, Kobe, Japan

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62416

62416²± 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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62424

255² + 62424 = 357², 255² - 62424 = 51².

62424² = (3² + 8)(8² + 8)(37² + 8)(48² + 8).

Page of Squares : First Upload October 6, 2012 ; Last Revised March 23, 2014
by Yoshio Mimura, Kobe, Japan

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62436

62436² = (6² + 8)(38² + 8)(247² + 8).

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

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62444

62444²± 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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62488

62488²± 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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62496

62496² = (8² - 1)(63² - 1)(125² - 1).

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

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62500

5⁷ + 62500 = 375², 5⁷ - 62500 = 125².

Page of Squares : First Upload October 6, 2012 ; Last Revised October 6, 2012
by Yoshio Mimura, Kobe, Japan

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62508

A cubic polynomial:
(X + 87²)(X + 144²)(X+ 364²) = X³ + 401²X² + 62508²X + 4560192².

Page of Squares : First Upload October 6, 2012 ; Last Revised October 6, 2012
by Yoshio Mimura, Kobe, Japan

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62526

62526²± 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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62530

62530² = (2² + 1)(117² + 1)(239² + 1) = (6² + 1)(43² + 1)(239² + 1)
= (3² + 4)(12² + 4)(29² + 4)(49² + 4).

Page of Squares : First Upload November 16, 2013 ; Last Revised March 23, 2014
by Yoshio Mimura, Kobe, Japan

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62544

62544² = 3911751936, 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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62576

62576² = 3915755776, 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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62608

62608² = (1² + 3)(7² + 3)(13² + 3)(331² + 3).

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

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62628

62628² = 410³ + 411³ + 412³ + ... + 457³.

Page of Squares : First Upload October 6, 2012 ; Last Revised October 6, 2012
by Yoshio Mimura, Kobe, Japan

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62679

62679² = 3928657041, a square with different digits.

Page of Squares : First Upload October 6, 2012 ; Last Revised October 6, 2012
by Yoshio Mimura, Kobe, Japan

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62698

62698²± 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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62730

62730² = (5² + 9)(9² + 9)(1134² + 9) = (5² + 9)(27² + 9)(396² + 9).

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

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62771

A cubic polynomial:
(X + 528²)(X + 1728²)(X + 62771²) = X³ + 62797²X² + 113422512²X + 57271256064².

Page of Squares : First Upload October 6, 2012 ; Last Revised October 6, 2012
by Yoshio Mimura, Kobe, Japan

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62831

62831² = 798² + 799² + 800² + ... + 2311².

Page of Squares : First Upload October 6, 2012 ; Last Revised October 6, 2012
by Yoshio Mimura, Kobe, Japan

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62832

62832² = (15² - 1)(35² - 1)(120² - 1).

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

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62868

62868² = (6² + 3)(11² + 3)(20² + 3)(45² + 3).

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

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62876

62876² = 3953391376, 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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62900

62900² = (1² + 1)(2² + 1)(3² + 1)(4² + 1)(13² + 1)(117² + 1)
= (1² + 1)(3² + 1)(4² + 1)(6² + 1)(13² + 1)(43² + 1) = (1² + 1)(3² + 1)(43² + 1)(327² + 1)
= (1² + 1)(3² + 1)(6² + 1)(7² + 1)(327² + 1) = (1² + 1)(4² + 1)(7² + 1)(13² + 1)(117² + 1)
= (1² + 4)(8² + 4)(11² + 4)(12² + 4)(25² + 4) = (1² + 4)(8² + 4)(25² + 4)(136² + 4).

Page of Squares : First Upload November 16, 2013 ; Last Revised March 23, 2014
by Yoshio Mimura, Kobe, Japan

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62925

62925² = 1867² + 1869² + 1871² + 1873² + ... + 3115².

Page of Squares : First Upload October 6, 2012 ; Last Revised October 6, 2012
by Yoshio Mimura, Kobe, Japan

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62930

62930² = (1² + 6)(2² + 6)(5² + 6)(20² + 6)(67² + 6) = (1² + 6)(5² + 6)(20² + 6)(212² + 6)
= (5² + 6)(8² + 6)(20² + 6)(67² + 6).

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

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62931

62931²± 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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62938

62938²± 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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62954

62954²± 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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62961

62961² = 3964087521, a square with different digits.

Page of Squares : First Upload October 6, 2012 ; Last Revised October 6, 2012
by Yoshio Mimura, Kobe, Japan

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