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89000

89000² = (1² + 4)(2² + 4)(6² + 4)(11² + 4)(199² + 4) = (2² + 4)(11² + 4)(14² + 4)(199² + 4).

Page of Squares : First Upload April 9, 2014 ; Last Revised April 9, 2014
by Yoshio Mimura, Kobe, Japan

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89010

89010² = 1076² + 1077² + 1078² + ... + 2924².

Page of Squares : First Upload December 15, 2012 ; Last Revised December 15, 2012
by Yoshio Mimura, Kobe, Japan

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89028

89028²± 5 are primes.

Page of Squares : First Upload April 9, 2014 ; Last Revised April 9, 2014
by Yoshio Mimura, Kobe, Japan

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89043

89043² = (1² + 2)(51409² + 2).

Page of Squares : First Upload April 9, 2014 ; Last Revised April 9, 2014
by Yoshio Mimura, Kobe, Japan

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89046

89046² = (2² + 2)(10² + 2)(17² + 2)(211² + 2).

Page of Squares : First Upload April 9, 2014 ; Last Revised April 9, 2014
by Yoshio Mimura, Kobe, Japan

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89056

89056² = (1² + 7)(2² + 7)(4² + 7)(9² + 7)(211² + 7) = (1² + 7)(4² + 7)(31² + 7)(211² + 7)
= (2² + 7)(4² + 7)(9² + 7)(19² + 7)(31² + 7) = (2² + 7)(13² + 7)(31² + 7)(65² + 7).

Page of Squares : First Upload April 9, 2014 ; Last Revised April 9, 2014
by Yoshio Mimura, Kobe, Japan

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89079

89079² = 7935068241, a square with different digits.

Page of Squares : First Upload December 15, 2012 ; Last Revised December 15, 2012
by Yoshio Mimura, Kobe, Japan

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89100

89100² = (2² - 1)(10² - 1)(26² - 1)(199² - 1) = (4² - 1)(10² - 1)(26² - 1)(89² - 1).

Page of Squares : First Upload April 9, 2014 ; Last Revised April 9, 2014
by Yoshio Mimura, Kobe, Japan

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89120

89120²± 3 are primes.

Page of Squares : First Upload April 9, 2014 ; Last Revised April 9, 2014
by Yoshio Mimura, Kobe, Japan

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89181

89181²± 2 are primes.

Page of Squares : First Upload April 9, 2014 ; Last Revised April 9, 2014
by Yoshio Mimura, Kobe, Japan

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89214

89214² = 7959137796, 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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89246

89246²± 3 are primes.

Page of Squares : First Upload April 9, 2014 ; Last Revised April 9, 2014
by Yoshio Mimura, Kobe, Japan

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89272

89272²± 3 are primes.

Page of Squares : First Upload April 9, 2014 ; Last Revised April 9, 2014
by Yoshio Mimura, Kobe, Japan

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89280

89280² = (2² - 1)(4² - 1)(7² - 1)(1921² - 1).

Page of Squares : First Upload April 9, 2014 ; Last Revised April 9, 2014
by Yoshio Mimura, Kobe, Japan

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89284

89284² = (3² + 4)(20² + 4)(1232² + 4).

Page of Squares : First Upload April 9, 2014 ; Last Revised April 9, 2014
by Yoshio Mimura, Kobe, Japan

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89298

89298² = (1² + 2)(2² + 2)(3² + 2)(11² + 2)(19² + 2)(30² + 2)
= (1² + 2)(8² + 2)(11² + 2)(19² + 2)(30² + 2) = (2² + 2)(3² + 2)(8² + 2)(19² + 2)(71² + 2)
= (2² + 2)(3² + 2)(11² + 2)(19² + 2)(52² + 2) = (3² + 2)(4² + 2)(11² + 2)(19² + 2)(30² + 2)
= (8² + 2)(11² + 2)(19² + 2)(52² + 2) = (11² + 2)(14² + 2)(19² + 2)(30² + 2).

Page of Squares : First Upload April 9, 2014 ; Last Revised April 9, 2014
by Yoshio Mimura, Kobe, Japan

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89304

305² + 89304 = 427², 305² - 89304 = 61².

Page of Squares : First Upload December 15, 2012 ; Last Revised December 15, 2012
by Yoshio Mimura, Kobe, Japan

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89310

89310² = (2² + 9)(9² + 9)(2611² + 9).

Page of Squares : First Upload April 9, 2014 ; Last Revised April 9, 2014
by Yoshio Mimura, Kobe, Japan

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89324

89324² = 7978776976, a square every digit of which is greater than 5.

Page of Squares : First Upload September 18, 2013 ; Last Revised September 18, 2013
by Yoshio Mimura, Kobe, Japan

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89355

89355² = 7984316025, a square with different digits.

Page of Squares : First Upload December 15, 2012 ; Last Revised December 15, 2012
by Yoshio Mimura, Kobe, Japan

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89376

89376² = (1² + 3)(2² + 3)(3² + 3)(4² + 3)(5² + 3)(9² + 3)(23² + 3)
= (1² + 3)(2² + 3)(3² + 3)(5² + 3)(15² + 3)(61² + 3)
= (1² + 3)(2² + 3)(5² + 3)(9² + 3)(15² + 3)(23² + 3)
= (1² + 3)(3² + 3)(4² + 3)(5² + 3)(9² + 3)(61² + 3)
= (1² + 3)(3² + 3)(4² + 3)(5² + 3)(15² + 3)(37² + 3) = (1² + 3)(3² + 3)(9² + 3)(23² + 3)(61² + 3)
= (1² + 3)(3² + 3)(15² + 3)(23² + 3)(37² + 3) = (1² + 3)(5² + 3)(9² + 3)(15² + 3)(61² + 3).

Page of Squares : First Upload April 9, 2014 ; Last Revised April 9, 2014
by Yoshio Mimura, Kobe, Japan

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89401

89401 = 299², a square with different digits.

Page of Squares : First Upload December 15, 2012 ; Last Revised December 15, 2012
by Yoshio Mimura, Kobe, Japan

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89404

89404² = (2² + 3)(10² + 3)(11² + 3)(299² + 3) = (2² + 3)(113² + 3)(299² + 3).

Page of Squares : First Upload April 9, 2014 ; Last Revised April 9, 2014
by Yoshio Mimura, Kobe, Japan

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89426

89426²± 3 are primes.

Page of Squares : First Upload April 9, 2014 ; Last Revised April 9, 2014
by Yoshio Mimura, Kobe, Japan

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89435

89435² = (5² + 6)(16063² + 6).

Page of Squares : First Upload April 9, 2014 ; Last Revised April 9, 2014
by Yoshio Mimura, Kobe, Japan

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89437

89437² = 7998976969, a square every digit of which is greater than 5.

Page of Squares : First Upload September 18, 2013 ; Last Revised September 18, 2013
by Yoshio Mimura, Kobe, Japan

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89438

89438²± 3 are primes.

Page of Squares : First Upload April 9, 2014 ; Last Revised April 9, 2014
by Yoshio Mimura, Kobe, Japan

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89452

89452²± 3 are primes.

Page of Squares : First Upload April 9, 2014 ; Last Revised April 9, 2014
by Yoshio Mimura, Kobe, Japan

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89460

89460² = 623² + 624² + 625² + ... + 2894².

Page of Squares : First Upload December 15, 2012 ; Last Revised December 15, 2012
by Yoshio Mimura, Kobe, Japan

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89466

89466²± 5 are primes.

89466² = (3² + 3)(6² + 3)(20² + 3)(206² + 3).

Page of Squares : First Upload April 9, 2014 ; Last Revised April 9, 2014
by Yoshio Mimura, Kobe, Japan

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89496

89496² = (4² + 8)(5² + 8)(52² + 8)(61² + 8) = (28² + 8)(52² + 8)(61² + 8).

Page of Squares : First Upload April 9, 2014 ; Last Revised April 9, 2014
by Yoshio Mimura, Kobe, Japan

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89506

89506²± 3 are primes.

Page of Squares : First Upload April 9, 2014 ; Last Revised April 9, 2014
by Yoshio Mimura, Kobe, Japan

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89516

89516²± 3 are primes.

Page of Squares : First Upload April 9, 2014 ; Last Revised April 9, 2014
by Yoshio Mimura, Kobe, Japan

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89523

89523²± 2 are primes.

89523² = 8014367529, a square with different digits.

Page of Squares : First Upload December 15, 2012 ; Last Revised April 9, 2014
by Yoshio Mimura, Kobe, Japan

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89530

89530²± 3 are primes.

Page of Squares : First Upload April 9, 2014 ; Last Revised April 9, 2014
by Yoshio Mimura, Kobe, Japan

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89544

89544² = (27² - 1)(40² - 1)(83² - 1).

Page of Squares : First Upload April 9, 2014 ; Last Revised April 9, 2014
by Yoshio Mimura, Kobe, Japan

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89558

89558²± 3 are primes.

Page of Squares : First Upload April 9, 2014 ; Last Revised April 9, 2014
by Yoshio Mimura, Kobe, Japan

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89568

89568² = 8022426624, a square with even digits.

Page of Squares : First Upload December 15, 2012 ; Last Revised December 15, 2012
by Yoshio Mimura, Kobe, Japan

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89570

89570² = (2² + 9)(16² + 9)(37² + 9)(41² + 9).

Page of Squares : First Upload April 9, 2014 ; Last Revised April 9, 2014
by Yoshio Mimura, Kobe, Japan

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89571

89571² = 8022964041, and 82944 = 288², 02601 = 51² (the 6th mozaic square).

Page of Squares : First Upload December 15, 2012 ; Last Revised December 15, 2012
by Yoshio Mimura, Kobe, Japan

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89606

89606²± 3 are primes.

Page of Squares : First Upload April 9, 2014 ; Last Revised April 9, 2014
by Yoshio Mimura, Kobe, Japan

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89642

89642² = (4² + 3)(80² + 3)(257² + 3).

Page of Squares : First Upload April 9, 2014 ; Last Revised April 9, 2014
by Yoshio Mimura, Kobe, Japan

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89702

89702² = 8046448804, a square with even digits.

Page of Squares : First Upload December 15, 2012 ; Last Revised December 15, 2012
by Yoshio Mimura, Kobe, Japan

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89760

314² + 89760 = 434², 314² - 89760 = 94².

Page of Squares : First Upload December 15, 2012 ; Last Revised December 15, 2012
by Yoshio Mimura, Kobe, Japan

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89782

89782² = (1² + 6)(10² + 6)(3296² + 6).

Page of Squares : First Upload April 9, 2014 ; Last Revised April 9, 2014
by Yoshio Mimura, Kobe, Japan

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89838

89838²± 5 are primes.

Page of Squares : First Upload April 9, 2014 ; Last Revised April 9, 2014
by Yoshio Mimura, Kobe, Japan

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89862

89862² = (1² + 2)(24² + 2)(2158² + 2).

Page of Squares : First Upload April 9, 2014 ; Last Revised April 9, 2014
by Yoshio Mimura, Kobe, Japan

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89890

89890²± 3 are primes.

Page of Squares : First Upload April 9, 2014 ; Last Revised April 9, 2014
by Yoshio Mimura, Kobe, Japan

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89908

89908² = (1² + 3)(2² + 3)(124² + 3)(137² + 3) = (4² + 3)(7² + 3)(23² + 3)(124² + 3)
= (5² + 3)(124² + 3)(137² + 3).

Page of Squares : First Upload April 9, 2014 ; Last Revised April 9, 2014
by Yoshio Mimura, Kobe, Japan

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89960

89960² = (3² + 4)(10² + 4)(13² + 4)(186² + 4).

Page of Squares : First Upload April 9, 2014 ; Last Revised April 9, 2014
by Yoshio Mimura, Kobe, Japan

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89972

89972²± 3 are primes.

Page of Squares : First Upload April 9, 2014 ; Last Revised April 9, 2014
by Yoshio Mimura, Kobe, Japan

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89978

89978²± 3 are primes.

Page of Squares : First Upload April 9, 2014 ; Last Revised April 9, 2014
by Yoshio Mimura, Kobe, Japan

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89901

89901²± 2 are primes.

Page of Squares : First Upload April 9, 2014 ; Last Revised April 9, 2014
by Yoshio Mimura, Kobe, Japan

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89999

89999² = 1858² + 1859² + 1860² + ... + 3131².

Page of Squares : First Upload December 15, 2012 ; Last Revised December 15, 2012
by Yoshio Mimura, Kobe, Japan

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