Squares:88000s

88010

88010²± 3 are primes.

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

88024

88024²± 3 are primes.

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

88096

88096²± 3 are primes.

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

88104

88104²± 5 are primes.

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

88110

88110² = 9251 x 9252 + 9253 x 9254 + 9255 x 9256 + 9257 x 9258 + ... + 9427 x 9428.

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

88128

88128² = (2² + 8)(3² + 8)(4² + 8)(8² + 8)(10² + 8)(14² + 8)
= (2² + 8)(8² + 8)(10² + 8)(14² + 8)(20² + 8) = (4² + 8)(8² + 8)(44² + 8)(48² + 8).

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

88130

88130² = (2² + 6)(8² + 6)(3331² + 6).

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

88190

88190²± 3 are primes.

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

88200

88200² = (2² - 1)(3² - 1)(4² - 1)(6² - 1)(8² - 1)(99² - 1) = (2² - 1)(6² - 1)(8² - 1)(11² - 1)(99² - 1)
= (4² - 1)(5² - 1)(6² - 1)(8² - 1)(99² - 1) = (4² - 1)(8² - 1)(29² - 1)(99² - 1)
= (6² - 1)(8² - 1)(19² - 1)(99² - 1).

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

88206

88206²± 5 are primes.

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

88209

88209² + 90288² = 126225².

88209 = (88 + 209)².

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

88218

88218² = (2² + 9)(7² + 9)(15² + 9)(210² + 9) = (123² + 9)(717² + 9).

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

88220

88220²± 3 are primes.

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

88236

88236² = (2² + 2)(5² + 2)(6² + 2)(16² + 2)(70² + 2) = (2² + 2)(16² + 2)(32² + 2)(70² + 2).

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

88322

88322²± 3 are primes.

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

88330

88330² = (2² + 6)(40² + 6)(697² + 6).

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

88389

88389² = (2² + 5)(4² + 5)(8² + 5)(774² + 5) = (2² + 5)(38² + 5)(774² + 5).

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

88391

88391² = 229² + 231² + 233² + 235² + 237²+ ... + 3605².

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

88395

88395²± 2 are primes.

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

88400

88400² = (1² + 4)(2² + 4)(3² + 4)(4² + 4)(9² + 4)(94² + 4)
= (1² + 4)(2² + 4)(3² + 4)(8² + 4)(11² + 4)(42² + 4)
= (1² + 4)(2² + 4)(3² + 4)(9² + 4)(16² + 4)(26² + 4)
= (1² + 4)(2² + 4)(6² + 4)(8² + 4)(9² + 4)(29² + 4) = (1² + 4)(2² + 4)(6² + 4)(29² + 4)(76² + 4)
= (1² + 4)(2² + 4)(9² + 4)(16² + 4)(94² + 4) = (1² + 4)(2² + 4)(9² + 4)(36² + 4)(42² + 4)
= (1² + 4)(2² + 4)(26² + 4)(536² + 4) = (1² + 4)(3² + 4)(4² + 4)(6² + 4)(9² + 4)(42² + 4)
= (1² + 4)(3² + 4)(4² + 4)(9² + 4)(10² + 4)(26² + 4) = (1² + 4)(3² + 4)(4² + 4)(26² + 4)(94² + 4)
= (1² + 4)(3² + 4)(8² + 4)(9² + 4)(10² + 4)(14² + 4) = (1² + 4)(3² + 4)(8² + 4)(14² + 4)(94² + 4)
= (1² + 4)(3² + 4)(10² + 4)(14² + 4)(76² + 4) = (1² + 4)(4² + 4)(9² + 4)(10² + 4)(94² + 4)
= (1² + 4)(6² + 4)(8² + 4)(26² + 4)(29² + 4) = (1² + 4)(6² + 4)(9² + 4)(16² + 4)(42² + 4)
= (1² + 4)(8² + 4)(10² + 4)(11² + 4)(42² + 4) = (1² + 4)(8² + 4)(42² + 4)(114² + 4)
= (1² + 4)(9² + 4)(10² + 4)(16² + 4)(26² + 4) = (1² + 4)(16² + 4)(26² + 4)(94² + 4)
= (1² + 4)(26² + 4)(36² + 4)(42² + 4) = (2² + 4)(3² + 4)(8² + 4)(9² + 4)(10² + 4)(11² + 4)
= (2² + 4)(3² + 4)(8² + 4)(9² + 4)(114² + 4) = (2² + 4)(3² + 4)(8² + 4)(11² + 4)(94² + 4)
= (2² + 4)(3² + 4)(9² + 4)(26² + 4)(36² + 4) = (2² + 4)(3² + 4)(10² + 4)(11² + 4)(76² + 4)
= (2² + 4)(3² + 4)(76² + 4)(114² + 4) = (2² + 4)(4² + 4)(9² + 4)(26² + 4)(29² + 4)
= (2² + 4)(6² + 4)(9² + 4)(536² + 4) = (2² + 4)(8² + 4)(9² + 4)(14² + 4)(29² + 4)
= (2² + 4)(9² + 4)(36² + 4)(94² + 4) = (2² + 4)(14² + 4)(29² + 4)(76² + 4)
= (3² + 4)(4² + 4)(6² + 4)(9² + 4)(94² + 4) = (3² + 4)(4² + 4)(9² + 4)(14² + 4)(42² + 4)
= (3² + 4)(6² + 4)(8² + 4)(11² + 4)(42² + 4) = (3² + 4)(6² + 4)(9² + 4)(16² + 4)(26² + 4)
= (3² + 4)(8² + 4)(10² + 4)(11² + 4)(26² + 4) = (3² + 4)(8² + 4)(26² + 4)(114² + 4)
= (6² + 4)(9² + 4)(16² + 4)(94² + 4) = (6² + 4)(9² + 4)(36² + 4)(42² + 4)
= (6² + 4)(26² + 4)(536² + 4) = (8² + 4)(9² + 4)(10² + 4)(114² + 4)
= (8² + 4)(10² + 4)(11² + 4)(94² + 4) = (8² + 4)(14² + 4)(26² + 4)(29² + 4)
= (8² + 4)(94² + 4)(114² + 4) = (9² + 4)(10² + 4)(26² + 4)(36² + 4)
= (9² + 4)(14² + 4)(16² + 4)(42² + 4) = (10² + 4)(76² + 4)(114² + 4)
= (26² + 4)(36² + 4)(94² + 4).

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

88416

88416² = 36³ + 752³ + 1948³.

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

88450

88450² = (1² + 1)(2² + 1)(41² + 1)(682² + 1) = (3² + 1)(41² + 1)(682² + 1).

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

88504

88504²± 3 are primes.

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

88536

485² + 88536 = 569², 485² - 88536 = 383².

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

88540

88540²± 3 are primes.

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

88560

88560² = (2² - 1)(4² - 1)(81² - 1)(163² - 1).

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

88598

88598²± 3 are primes.

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

88623

88623² = 7854036129, a square with different digits.

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

88650

88650² = (1² + 9)(6² + 9)(4179² + 9) = (3² + 9)(4² + 9)(4179² + 9) = (21² + 9)(4179² + 9).

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

88689

88689²± 2 are primes.

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

88704

340² + 88704 = 452², 340² - 88704 = 164².

88704² = (3² - 1)(5² - 1)(10² - 1)(15² - 1)(43² - 1) = (3² - 1)(7² - 1)(23² - 1)(197² - 1)
= (7² - 1)(13² - 1)(23² - 1)(43² - 1) = (7² - 1)(65² - 1)(197² - 1).

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

88738

88738²± 3 are primes.

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

88740

88740² = (1² + 9)(3² + 9)(5² + 9)(6² + 9)(7² + 9)(22² + 9)
= (1² + 9)(3² + 9)(5² + 9)(22² + 9)(51² + 9) = (1² + 9)(3² + 9)(7² + 9)(22² + 9)(39² + 9)
= (1² + 9)(5² + 9)(7² + 9)(12² + 9)(51² + 9) = (3² + 9)(5² + 9)(29² + 9)(123² + 9)
= (1² + 9)(5² + 9)(39² + 9)(123² + 9) = (3² + 9)(5² + 9)(7² + 9)(21² + 9)(22² + 9)
= (3² + 9)(5² + 9)(7² + 9)(471² + 9) = (5² + 9)(7² + 9)(39² + 9)(51² + 9).

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

88776

88776² = (1² + 8)(4² + 8)(35² + 8)(172² + 8).

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

88804

88804 = 298², a square with 3 kinds of even digits.

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

88830

88830² = (1² + 5)(2² + 5)(10² + 5)(18² + 5)(65² + 5) = (2² + 5)(4² + 5)(5² + 5)(18² + 5)(65² + 5)
= (2² + 5)(5² + 5)(10² + 5)(18² + 5)(29² + 5) = (2² + 5)(18² + 5)(25² + 5)(65² + 5)
= (3² + 5)(18² + 5)(20² + 5)(65² + 5) = (4² + 5)(10² + 5)(29² + 5)(65² + 5)
= (7² + 5)(10² + 5)(18² + 5)(65² + 5).

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

88881

88881²± 2 are primes.

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

88882

88882²± 3 are primes.

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

88935

88935² = (7² + 6)(15² + 6)(27² + 6)(29² + 6).

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

88944

88944²± 5 are primes.

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

88998

88998² = (2² + 3)(6² + 3)(46² + 3)(117² + 3).

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