Squares:96000s

96000

340² + 96000 = 460², 340² - 96000 = 140².

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

96045

96045² = 5063² + 5064² + 5065² + ... + 5399².

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

96050

96050² = (1² + 1)(98² + 1)(693² + 1)
= (2² + 1)(4² + 1)(15² + 1)(693² + 1) = (2² + 1)(4² + 1)(7² + 1)(15² + 1)(98² + 1).

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

96096

96096² = (2² - 1)(3² - 1)(27² - 1)(727² - 1) = (5² - 1)(27² - 1)(727² - 1)
= (7² - 1)(12² - 1)(27² - 1)(43² - 1) = (12² - 1)(13² - 1)(23² - 1)(27² - 1)
= (23² - 1)(27² - 1)(155² - 1).

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

96102

96102² = (1² + 2)(6² + 2)(29² + 2)(310² + 2).

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

96104

96104² = (17² + 4)(18² + 4)(310² + 4).

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

96106

96106² = 1484² + 1485² + 1486² + ... + 3140².

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

96135

96135² = (22² + 9)(54² + 9)(80² + 9).

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

96138

96138² = (2² + 5)(4² + 5)(39² + 5)(179² + 5).

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

96172

96172²± 3 are primes.

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

96200

96200² = (1² + 4)(2² + 4)(3² + 4)(49² + 4)(86² + 4) = (1² + 4)(4² + 4)(12² + 4)(16² + 4)(49² + 4)
= (1² + 4)(6² + 4)(29² + 4)(234² + 4) = (1² + 4)(10² + 4)(49² + 4)(86² + 4)
= (1² + 4)(14² + 4)(49² + 4)(62² + 4) = (2² + 4)(11² + 4)(49² + 4)(62² + 4)
= (3² + 4)(6² + 4)(49² + 4)(86² + 4) = (3² + 4)(10² + 4)(11² + 4)(234² + 4)
= (3² + 4)(12² + 4)(16² + 4)(136² + 4) = (3² + 4)(114² + 4)(234² + 4)
= (4² + 4)(12² + 4)(36² + 4)(49² + 4) = (14² + 4)(29² + 4)(234² + 4).

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

96228

96228² = (1² + 2)(2² + 2)(3² + 2)(4² + 2)(5² + 2)(14² + 2)(22² + 2)
= (1² + 2)(4² + 2)(5² + 2)(8² + 2)(14² + 2)(22² + 2).

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

96236

96236²± 3 are primes.

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

96250

96250² = (2² + 6)(7² + 6)(8² + 6)(13² + 6)(37² + 6) = (2² + 6)(13² + 6)(37² + 6)(62² + 6).

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

96252

96252²± 5 are primes.

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

96314

96314²± 3 are primes.

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

96318

96318²± 5 are primes.

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

96348

96348² = (2² + 3)(3² + 3)(51² + 3)(206² + 3) = (3² + 3)(11² + 3)(12² + 3)(206² + 3)
= (3² + 3)(16² + 3)(21² + 3)(82² + 3) = (3² + 3)(135² + 3)(206² + 3)
= (9² + 3)(51² + 3)(206² + 3).

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

96360

96360²= 4959 x 4960 + 4960 x 4961 + 4961 x 4962 +...+ 5310 x 5311.

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

96402

96402²± 5 are primes.

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

96432

96432²± 5 are primes.

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

96448

96448² = (5² + 7)(33² + 7)(515² + 7).

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

96453

96453²± 2 are primes.

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

96459

96459²± 2 are primes.

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

96492

96492² = (2² + 2)(16² + 2)(24² + 2)(102² + 2) = (3² + 8)(5² + 8)(6² + 8)(11² + 8)(54² + 8)
= (3² + 8)(6² + 8)(14² + 8)(247² + 8) = (3² + 8)(11² + 8)(38² + 8)(54² + 8)
= (6² + 8)(54² + 8)(269² + 8).

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

96566

96566²± 3 are primes.

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

96570

96570² = (7² + 9)(18² + 9)(19² + 9)(36² + 9) = (7² + 9)(36² + 9)(351² + 9).

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

96578

96578²± 3 are primes.

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

96600

533² + 96600 = 617², 533² - 96600 = 433².

96600² = (2² - 1)(3² - 1)(6² - 1)(24² - 1)(139² - 1) = (3² - 1)(6² - 1)(11² - 1)(22² - 1)(24² - 1)
= (5² - 1)(6² - 1)(24² - 1)(139² - 1) = (6² - 1)(22² - 1)(24² - 1)(31² - 1)
= (24² - 1)(29² - 1)(139² - 1).

Page of Squares : First Upload December 29, 2012 ; Last Revised April 16, 2014
by Yoshio Mimura, Kobe, Japan

96656

96656²± 3 are primes.

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

96675

96675, 96676, 96677, 96678, 96679 and 96680 are consecutive integers having square factors (the 9th case).

Page of Squares : First Upload December 14, 2013 ; Last Revised December 14, 2013
by Yoshio Mimura, Kobe, Japan

96702

96702² = 9351276804, a square with different digits.

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

96714

96714² = 9353597796, 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

96721

96721 = 311², a square with different digits.

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

96725

96725² = (1² + 4)(7² + 4)(19² + 4)(311² + 4).

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

96726

96726² = (3² + 5)(4² + 5)(18² + 5)(311² + 5) = (17² + 5)(18² + 5)(311² + 5).

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

96736

96736²± 3 are primes.

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

96747

96747²± 2 are primes.

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

96768

96768² = (2² - 1)(5² - 1)(7² - 1)(13² - 1)(127² - 1) = (2² - 1)(5² - 1)(7² - 1)(17² - 1)(97² - 1)
= (3² - 1)(5² - 1)(55² - 1)(127² - 1) = (3² - 1)(5² - 1)(7² - 1)(8² - 1)(127² - 1)
= (7² - 1)(15² - 1)(17² - 1)(55² - 1).

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

96775

96775² = (209² + 6)(463² + 6).

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

96782

96782² = (1² + 3)(82² + 3)(590² + 3).

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

96792

96792² = (1² + 3)(18² + 3)(21² + 3)(127² + 3).

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

96807

96807² = 2432² + 2433² + 2434² + ... + 3489².

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

96810

96810² = (3² + 5)(10² + 5)(2525² + 5).

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

96824

96824² = (1² + 3)(2² + 3)(4² + 3)(5² + 3)(7² + 3)(110² + 3)
= (1² + 3)(2² + 3)(7² + 3)(23² + 3)(110² + 3) = (1² + 3)(4² + 3)(5² + 3)(19² + 3)(110² + 3)
= (1² + 3)(7² + 3)(61² + 3)(110² + 3) = (1² + 3)(19² + 3)(23² + 3)(110² + 3)
= (1² + 3)(37² + 3)(1307² + 3) = (2² + 3)(4² + 3)(7² + 3)(19² + 3)(61² + 3)
= (2² + 3)(7² + 3)(37² + 3)(137² + 3) = (5² + 3)(7² + 3)(23² + 3)(110² + 3)
= (19² + 3)(37² + 3)(137² + 3).

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

96849

96849796849 = 311207².

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

96850

96850² = (1² + 1)(8² + 1)(44² + 1)(193² + 1) = (2² + 1)(5² + 1)(44² + 1)(193² + 1).

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

96866

96866² = 1904² + 1905² + 1906² + ... + 3272².

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

96894

96894² = (1² + 5)(2² + 5)(3² + 5)(3524² + 5) = (1² + 5)(11² + 5)(3524² + 5)
= (3² + 5)(7² + 5)(3524² + 5).

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

96909

96909²± 2 are primes.

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

96943

96943² = (29² + 6)(3331² + 6).

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

96946

96946²± 3 are primes.

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

96955

96955² = 13687² + 13688² + 13689² + ... + 13736².

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

96964

96964²± 3 are primes.

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