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99000

99000²= 416 x 417 + 417 x 418 + 418 x 419 +...+ 3088 x 3089.

505² + 99000 = 595², 505² - 99000 = 395².

Page of Squares : First Upload January 5, 2013 ; Last Revised January 5, 2013
by Yoshio Mimura, Kobe, Japan

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99005

99005² = 9801990025, and 9801 = 99², 990025 = 995².

Page of Squares : First Upload January 5, 2013 ; Last Revised January 5, 2013
by Yoshio Mimura, Kobe, Japan

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99066

99066² = 9814072356, a square with different digits.

Page of Squares : First Upload January 5, 2013 ; Last Revised January 5, 2013
by Yoshio Mimura, Kobe, Japan

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99125

99125² = (8² + 1)(18² + 1)(682² + 1) = (4² + 9)(28² + 9)(704² + 9).

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

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99144

99144² = (1² + 8)(3² + 8)(4² + 8)(37² + 8)(44² + 8) = (1² + 8)(20² + 8)(37² + 8)(44² + 8).

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

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99161

99161² = 3324² + 3325² + 3326² + ... + 4045².

Page of Squares : First Upload January 5, 2013 ; Last Revised January 5, 2013
by Yoshio Mimura, Kobe, Japan

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99183

99183²± 2 are primes.

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

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99213

99213²± 2 are primes.

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

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99225

99225 = 315², a square with 3 kinds og digits.

Page of Squares : First Upload January 5, 2013 ; Last Revised January 5, 2013
by Yoshio Mimura, Kobe, Japan

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99232

99232²± 3 are primes.

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

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99234

99234² = (17² + 9)(18² + 9)(315² + 9).

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

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99268

99268²± 3 are primes.

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

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99297

99297² = (1² + 8)(3² + 8)(5² + 8)(13² + 8)(105² + 8) = (3² + 8)(13² + 8)(17² + 8)(105² + 8)
= (13² + 8)(71² + 8)(105² + 8).

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

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99315

99315²± 2 are primes.

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

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99324

99324²± 5 are primes.

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

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99334

99334²± 3 are primes.

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

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99339

99339²± 2 are primes.

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

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99372

99372² = (1² + 3)(5² + 3)(6² + 3)(12² + 3)(124² + 3) = (1² + 3)(12² + 3)(33² + 3)(124² + 3)
= (2² + 3)(3² + 3)(7² + 3)(12² + 3)(124² + 3) = (2² + 3)(5² + 3)(6² + 3)(9² + 3)(124² + 3)
= (2² + 3)(9² + 3)(33² + 3)(124² + 3) = (3² + 3)(6² + 3)(37² + 3)(124² + 3)
= (3² + 3)(12² + 3)(19² + 3)(124² + 3) = (7² + 3)(9² + 3)(12² + 3)(124² + 3)
= (7² + 3)(45² + 3)(306² + 3).

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

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99450

99450² = (1² + 9)(2² + 9)(4² + 9)(5² + 9)(12² + 9)(24² + 9)
= (1² + 9)(2² + 9)(4² + 9)(12² + 9)(141² + 9) = (1² + 9)(2² + 9)(4² + 9)(15² + 9)(114² + 9)
= (1² + 9)(2² + 9)(6² + 9)(11² + 9)(114² + 9) = (1² + 9)(2² + 9)(12² + 9)(15² + 9)(46² + 9)
= (1² + 9)(2² + 9)(12² + 9)(24² + 9)(29² + 9) = (1² + 9)(5² + 9)(6² + 9)(804² + 9)
= (1² + 9)(6² + 9)(12² + 9)(379² + 9) = (1² + 9)(6² + 9)(41² + 9)(114² + 9)
= (1² + 9)(11² + 9)(24² + 9)(114² + 9) = (1² + 9)(39² + 9)(804² + 9)
= (2² + 9)(3² + 9)(4² + 9)(11² + 9)(114² + 9) = (2² + 9)(3² + 9)(5² + 9)(24² + 9)(46² + 9)
= (2² + 9)(3² + 9)(11² + 9)(12² + 9)(46² + 9) = (2² + 9)(3² + 9)(46² + 9)(141² + 9)
= (2² + 9)(4² + 9)(5² + 9)(24² + 9)(39² + 9) = (2² + 9)(4² + 9)(5² + 9)(6² + 9)(11² + 9)(12² + 9)
= (2² + 9)(4² + 9)(5² + 9)(6² + 9)(141² + 9) = (2² + 9)(4² + 9)(11² + 9)(12² + 9)(39² + 9)
= (2² + 9)(4² + 9)(12² + 9)(15² + 9)(29² + 9) = (2² + 9)(4² + 9)(39² + 9)(141² + 9)
= (2² + 9)(5² + 9)(6² + 9)(15² + 9)(46² + 9) = (2² + 9)(5² + 9)(6² + 9)(24² + 9)(29² + 9)
= (2² + 9)(6² + 9)(11² + 9)(12² + 9)(29² + 9) = (2² + 9)(6² + 9)(29² + 9)(141² + 9)
= (2² + 9)(9² + 9)(46² + 9)(63² + 9) = (2² + 9)(11² + 9)(21² + 9)(114² + 9)
= (2² + 9)(15² + 9)(39² + 9)(46² + 9) = (2² + 9)(24² + 9)(29² + 9)(39² + 9)
= (3² + 9)(4² + 9)(5² + 9)(804² + 9) = (3² + 9)(4² + 9)(12² + 9)(379² + 9)
= (3² + 9)(4² + 9)(41² + 9)(114² + 9) = (3² + 9)(12² + 9)(41² + 9)(46² + 9)
= (3² + 9)(29² + 9)(804² + 9) = (4² + 9)(5² + 9)(6² + 9)(12² + 9)(41² + 9)
= (4² + 9)(5² + 9)(11² + 9)(12² + 9)(24² + 9) = (4² + 9)(5² + 9)(24² + 9)(141² + 9)
= (4² + 9)(5² + 9)(54² + 9)(63² + 9) = (4² + 9)(11² + 9)(12² + 9)(141² + 9)
= (4² + 9)(11² + 9)(15² + 9)(114² + 9) = (4² + 9)(12² + 9)(39² + 9)(41² + 9)
= (5² + 9)(15² + 9)(24² + 9)(46² + 9) = (5² + 9)(21² + 9)(804² + 9)
= (6² + 9)(12² + 9)(29² + 9)(41² + 9) = (6² + 9)(39² + 9)(379² + 9)
= (11² + 9)(12² + 9)(15² + 9)(46² + 9) = (11² + 9)(12² + 9)(24² + 9)(29² + 9)
= (12² + 9)(21² + 9)(379² + 9) = (15² + 9)(46² + 9)(141² + 9) = (21² + 9)(41² + 9)(114² + 9)
= (24² + 9)(29² + 9)(141² + 9) = (29² + 9)(54² + 9)(63² + 9).

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

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99470

99470² = (1² + 6)(8² + 6)(20² + 6)(223² + 6) = (20² + 6)(22² + 6)(223² + 6).

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

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99512

99512² = (1² + 3)(5² + 3)(9403² + 3).

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

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99536

99536²± 3 are primes.

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

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99556

99556² = 9911397136, 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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99576

99576² = 9915379776, 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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99586

99586² = 9917371396, 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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99603

99603²± 2 are primes.

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

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99604

99604²± 3 are primes.

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

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99630

99630² = (2² + 5)(5² + 5)(6² + 5)(20² + 5)(47² + 5) = (2² + 5)(6² + 5)(7² + 5)(20² + 5)(35² + 5)
= (2² + 5)(20² + 5)(35² + 5)(47² + 5).

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

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99646

99646²± 3 are primes.

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

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99658

99658²± 3 are primes.

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

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99666

99666² = 9933311556, 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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99674

99674²± 3 are primes.

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

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99675

99675²± 2 are primes.

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

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99768

99768²= 2953 x 2954 + 2954 x 2955 + 2955 x 2956 + ... + 3816 x 3817.

Page of Squares : First Upload January 5, 2013 ; Last Revised January 5, 2013
by Yoshio Mimura, Kobe, Japan

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99786

99786²± 5 are primes.

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

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99792

99792² = (2² - 1)(8² - 1)(10² - 1)(17² - 1)(43² - 1) = (2² - 1)(8² - 1)(15² - 1)(485² - 1)
= (8² - 1)(10² - 1)(23² - 1)(55² - 1).

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

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99804

99804²± 5 are primes.

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

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99814

99814²± 3 are primes.

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

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99840

356² + 99840 = 476², 356² - 99840 = 164².

99840² = (3² - 1)(11² - 1)(25² - 1)(129² - 1) = (25² - 1)(31² - 1)(129² - 1).

Page of Squares : First Upload January 5, 2013 ; Last Revised April 16, 2014
by Yoshio Mimura, Kobe, Japan

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99849

99849²± 2 are primes.

The quadratic polynomial 99849X² - 646308X + 1243684 takes the values 835², 592², 451², 506², 713², 980² at X = 1, 2,..., 6.

Page of Squares : First Upload January 5, 2013 ; Last Revised April 16, 2014
by Yoshio Mimura, Kobe, Japan

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99858

99858² = (2² + 2)(129² + 2)(316² + 2) = (19² + 2)(24² + 2)(218² + 2).

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

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99864

99864² = (1² + 8)(4² + 8)(7² + 8)(900² + 8) = (8² + 8)(24² + 8)(487² + 8).

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

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99866

99866²± 3 are primes.

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

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99876

99876² = (1² + 5)(3² + 5)(6² + 5)(13² + 5)(129² + 5).

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

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99900

99900² = (1² + 9)(3² + 9)(18² + 9)(19² + 9)(21² + 9) = (1² + 9)(3² + 9)(21² + 9)(351² + 9)
= (3² + 9)(9² + 9)(19² + 9)(129² + 9).

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

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99916

(99916² - 6) = (4² - 6)(5² - 6)(17² - 6)(19² - 6)(23² - 6).

Page of Squares : First Upload January 5, 2013 ; Last Revised January 5, 2013
by Yoshio Mimura, Kobe, Japan

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99928

99928² = 9985605184, and 99856 = 316², 5184 = 72².

Page of Squares : First Upload January 5, 2013 ; Last Revised January 5, 2013
by Yoshio Mimura, Kobe, Japan

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99939

99939²± 2 are primes.

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

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99960

99960² = (2² - 1)(3² - 1)(6² - 1)(50² - 1)(69² - 1) = (5² - 1)(6² - 1)(50² - 1)(69² - 1)
= (29² - 1)(50² - 1)(69² - 1).

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

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99968

99968² = (1² + 7)(3² + 7)(8² + 7)(13² + 7)(79² + 7) = (1² + 7)(5² + 7)(8² + 7)(9² + 7)(79² + 7)
= (1² + 7)(8² + 7)(53² + 7)(79² + 7) = (2² + 7)(3² + 7)(8² + 7)(11² + 7)(79² + 7)
= (3² + 7)(11² + 7)(2209² + 7) = (8² + 7)(11² + 7)(13² + 7)(79² + 7).

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

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99970

99970²± 3 are primes.

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

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99980

99980²± 3 are primes.

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

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99997

99997² = 999940009, a square with 3 kinds of digits.

Page of Squares : First Upload January 5, 2013 ; Last Revised January 5, 2013
by Yoshio Mimura, Kobe, Japan

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