Squares:26000s

26000

26000² = (1² + 4)(2² + 4)(10² + 4)(11² + 4)(36² + 4)
= (1² + 4)(2² + 4)(3² + 4)(6² + 4)(11² + 4)(16² + 4) = (1² + 4)(2² + 4)(36² + 4)(114² + 4)
= (1² + 4)(3² + 4)(4² + 4)(6² + 4)(10² + 4)(11² + 4)
= (1² + 4)(3² + 4)(4² + 4)(6² + 4)(114² + 4) = (1² + 4)(3² + 4)(6² + 4)(14² + 4)(36² + 4)
= (1² + 4)(4² + 4)(6² + 4)(14² + 4)(29² + 4) = (1² + 4)(6² + 4)(10² + 4)(11² + 4)(16² + 4)
= (1² + 4)(6² + 4)(16² + 4)(114² + 4) = (10² + 4)(11² + 4)(14² + 4)(16² + 4)
= (14² + 4)(16² + 4)(114² + 4) = (2² + 4)(3² + 4)(11² + 4)(14² + 4)(16² + 4)
= (2² + 4)(3² + 4)(6² + 4)(11² + 4)(36² + 4) = (2² + 4)(4² + 4)(6² + 4)(11² + 4)(29² + 4)
= (3² + 4)(4² + 4)(10² + 4)(11² + 4)(14² + 4) = (3² + 4)(4² + 4)(14² + 4)(114² + 4)
= (6² + 4)(10² + 4)(11² + 4)(36² + 4) = (6² + 4)(36² + 4)(114² + 4).

Page of Squares : First Upload February 12, 2014 ; Last Revised February 12, 2014
by Yoshio Mimura, Kobe, Japan

26010

26010² = (1² + 9)(5² + 9)(12² + 9)(114² + 9) = (5² + 9)(39² + 9)(114² + 9).

Page of Squares : First Upload February 12, 2014 ; Last Revised February 12, 2014
by Yoshio Mimura, Kobe, Japan

26018

26018²± 3 are primes.

Page of Squares : First Upload February 12, 2014 ; Last Revised February 12, 2014
by Yoshio Mimura, Kobe, Japan

26036

26036²± 3 are primes.

Page of Squares : First Upload February 12, 2014 ; Last Revised February 12, 2014
by Yoshio Mimura, Kobe, Japan

26048

26048² = (1² + 7)(9² + 7)(17² + 7)(57² + 7) = (17² + 7)(20² + 7)(75² + 7)
= (2² + 7)(3² + 7)(5² + 7)(17² + 7)(20² + 7) = (3² + 7)(5² + 7)(20² + 7)(57² + 7)
= (5² + 7)(13² + 7)(17² + 7)(20² + 7).

Page of Squares : First Upload February 12, 2014 ; Last Revised February 12, 2014
by Yoshio Mimura, Kobe, Japan

26068

26068²± 3 are primes.

26068² = (2² + 3)(4² + 3)(37² + 3)(61² + 3).

Page of Squares : First Upload February 12, 2014 ; Last Revised February 12, 2014
by Yoshio Mimura, Kobe, Japan

26070

26070² = (18² + 6)(28² + 6)(51² + 6) = (3² + 6)(4² + 6)(28² + 6)(51² + 6).

Page of Squares : First Upload February 12, 2014 ; Last Revised February 12, 2014
by Yoshio Mimura, Kobe, Japan

26078

26078² = 680062084 is a square which consists of even digits.

Page of Squares : First Upload April 14, 2012 ; Last Revised April 14, 2012
by Yoshio Mimura, Kobe, Japan

26082

26082² = (1² + 5)(2² + 5)(8² + 5)(11² + 5)(38² + 5) = (1² + 5)(4² + 5)(38² + 5)(61² + 5)
= (1² + 5)(4² + 5)(7² + 5)(8² + 5)(38² + 5) = (11² + 5)(38² + 5)(61² + 5)
= (2² + 5)(3² + 5)(38² + 5)(61² + 5) = (2² + 5)(3² + 5)(4² + 5)(8² + 5)(61² + 5)
= (2² + 5)(3² + 5)(7² + 5)(8² + 5)(38² + 5) = (2² + 5)(4² + 5)(11² + 5)(169² + 5)
= (2² + 5)(4² + 5)(31² + 5)(61² + 5) = (2² + 5)(4² + 5)(7² + 5)(8² + 5)(31² + 5)
= (2² + 5)(7² + 5)(31² + 5)(38² + 5) = (2² + 5)(8² + 5)(17² + 5)(61² + 5)
= (4² + 5)(8² + 5)(11² + 5)(61² + 5) = (7² + 5)(8² + 5)(11² + 5)(38² + 5)
= (8² + 5)(31² + 5)(101² + 5).

Page of Squares : First Upload February 12, 2014 ; Last Revised February 12, 2014
by Yoshio Mimura, Kobe, Japan

26096

26096²± 3 are primes.

Page of Squares : First Upload February 12, 2014 ; Last Revised February 12, 2014
by Yoshio Mimura, Kobe, Japan

26100

26100² = (1² + 9)(3² + 9)(4² + 9)(7² + 9)(51² + 9) = (1² + 9)(7² + 9)(21² + 9)(51² + 9).

Page of Squares : First Upload February 12, 2014 ; Last Revised February 12, 2014
by Yoshio Mimura, Kobe, Japan

26136

26136² = (5² + 8)(16² + 8)(280² + 8).

165² + 26136 = 231², 165² - 26136 = 33²

Page of Squares : First Upload April 14, 2012 ; Last Revised February 12, 2014
by Yoshio Mimura, Kobe, Japan

26152

26152² = 683927104 is a square with different digits.

Page of Squares : First Upload April 14, 2012 ; Last Revised April 14, 2012
by Yoshio Mimura, Kobe, Japan

26163

26163² = (1² + 8)(37² + 8)(235² + 8) = (1² + 8)(7² + 8)(31² + 8)(37² + 8).

Page of Squares : First Upload February 12, 2014 ; Last Revised February 12, 2014
by Yoshio Mimura, Kobe, Japan

26166

26166² = (1² + 5)(32² + 5)(333² + 5) = (17² + 5)(23² + 5)(66² + 5)
= (3² + 5)(4² + 5)(23² + 5)(66² + 5) = (4² + 5)(17² + 5)(333² + 5).

Page of Squares : First Upload February 12, 2014 ; Last Revised February 12, 2014
by Yoshio Mimura, Kobe, Japan

26192

26192² = 686020864 is a square which consists of even digits.

Page of Squares : First Upload April 14, 2012 ; Last Revised April 14, 2012
by Yoshio Mimura, Kobe, Japan

26208

26208² = (2² - 1)(3² - 1)(8² - 1)(25² - 1)(27² - 1) = (5² - 1)(8² - 1)(25² - 1)(27² - 1).

Page of Squares : First Upload February 12, 2014 ; Last Revised February 12, 2014
by Yoshio Mimura, Kobe, Japan

26244

26244 = 162² is a square which consists of 3 kinds of even digits.

Page of Squares : First Upload April 14, 2012 ; Last Revised April 14, 2012
by Yoshio Mimura, Kobe, Japan

26250

26250² = (12² + 6)(13² + 6)(162² + 6) = (2² + 6)(3² + 6)(13² + 6)(162² + 6).

Page of Squares : First Upload February 12, 2014 ; Last Revised February 12, 2014
by Yoshio Mimura, Kobe, Japan

26260

26260² = (1² + 1)(2² + 1)(3² + 1)(5² + 1)(515² + 1) = (1² + 1)(5² + 1)(7² + 1)(515² + 1)
= (16² + 4)(20² + 4)(81² + 4) = (3² + 4)(4² + 4)(20² + 4)(81² + 4).

Page of Squares : First Upload November 9, 2013 ; Last Revised February 12, 2014
by Yoshio Mimura, Kobe, Japan

26262

26262²± 5 are primes.

Page of Squares : First Upload February 12, 2014 ; Last Revised February 12, 2014
by Yoshio Mimura, Kobe, Japan

26264

26264² = 689797696, 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

26302

26302²± 3 are primes.

Page of Squares : First Upload February 12, 2014 ; Last Revised February 12, 2014
by Yoshio Mimura, Kobe, Japan

26316

26316² = (1² + 8)(11² + 8)(14² + 8)(54² + 8) = (1² + 8)(2² + 8)(3² + 8)(11² + 8)(54² + 8)
= (3² + 8)(10² + 8)(11² + 8)(54² + 8) = (3² + 8)(54² + 8)(118² + 8).

Page of Squares : First Upload February 12, 2014 ; Last Revised February 12, 2014
by Yoshio Mimura, Kobe, Japan

26326

26326²± 3 are primes.

Page of Squares : First Upload February 12, 2014 ; Last Revised February 12, 2014
by Yoshio Mimura, Kobe, Japan

26345

(26345² + 5) = (2² + 5)(4² + 5)(10² + 5)(13² + 5)(14² + 5).

Page of Squares : First Upload April 14, 2012 ; Last Revised April 14, 2012
by Yoshio Mimura, Kobe, Japan

26346

26346²± 5 are primes.

Page of Squares : First Upload February 12, 2014 ; Last Revised February 12, 2014
by Yoshio Mimura, Kobe, Japan

26351

26351² = 694375201 is a square with different digits.

Page of Squares : First Upload April 14, 2012 ; Last Revised April 14, 2012
by Yoshio Mimura, Kobe, Japan

26370

26370² = 5877 x 5878 + 5879 x 5880 + 5881 x 5882 + 5883 x 5884 + ... + 5915 x 5916.

Page of Squares : First Upload April 14, 2012 ; Last Revised April 14, 2012
by Yoshio Mimura, Kobe, Japan

26388

26388²± 5 are primes.

Page of Squares : First Upload February 12, 2014 ; Last Revised February 12, 2014
by Yoshio Mimura, Kobe, Japan

26402

26402² = (9² + 5)(2847² + 5).

Page of Squares : First Upload February 12, 2014 ; Last Revised February 12, 2014
by Yoshio Mimura, Kobe, Japan

26409

26409² = 697435281 is a square with different digits.

Page of Squares : First Upload April 14, 2012 ; Last Revised April 14, 2012
by Yoshio Mimura, Kobe, Japan

26439

26439²± 2 are primes.

Page of Squares : First Upload February 12, 2014 ; Last Revised February 12, 2014
by Yoshio Mimura, Kobe, Japan

26460

26460² = (1² + 5)(2² + 5)(3² + 5)(5² + 5)(10² + 5)(17² + 5)
= (1² + 5)(3² + 5)(10² + 5)(11² + 5)(25² + 5) = (1² + 5)(3² + 5)(25² + 5)(115² + 5)
= (1² + 5)(3² + 5)(4² + 5)(5² + 5)(10² + 5)(11² + 5) = (1² + 5)(3² + 5)(4² + 5)(5² + 5)(115² + 5)
= (1² + 5)(4² + 5)(5² + 5)(17² + 5)(25² + 5) = (1² + 5)(5² + 5)(10² + 5)(11² + 5)(17² + 5)
= (1² + 5)(5² + 5)(17² + 5)(115² + 5) = (2² + 5)(3² + 5)(5² + 5)(17² + 5)(25² + 5)
= (3² + 5)(4² + 5)(5² + 5)(11² + 5)(25² + 5) = (3² + 5)(5² + 5)(11² + 5)(115² + 5)
= (3² + 5)(5² + 5)(7² + 5)(10² + 5)(17² + 5) = (5² + 5)(11² + 5)(17² + 5)(25² + 5)
= (1³ + 8)(3³ + 8)(10³ + 8)(13³ + 8).

Page of Squares : First Upload February 12, 2014 ; Last Revised February 12, 2014
by Yoshio Mimura, Kobe, Japan

26462

26462² = (14² + 6)(16² + 6)(115² + 6).

Page of Squares : First Upload February 12, 2014 ; Last Revised February 12, 2014
by Yoshio Mimura, Kobe, Japan

26468

26468²± 3 are primes.

Page of Squares : First Upload February 12, 2014 ; Last Revised February 12, 2014
by Yoshio Mimura, Kobe, Japan

26481

26481²± 2 are primes.

Page of Squares : First Upload February 12, 2014 ; Last Revised February 12, 2014
by Yoshio Mimura, Kobe, Japan

26500

26500² = (1² + 4)(4² + 4)(7² + 4)(364² + 4).

Page of Squares : First Upload February 12, 2014 ; Last Revised February 12, 2014
by Yoshio Mimura, Kobe, Japan

26502

26502²± 5 are primes.

Page of Squares : First Upload February 12, 2014 ; Last Revised February 12, 2014
by Yoshio Mimura, Kobe, Japan

26506

26506² = 755 x 756 + 757 x 758 + 759 x 760 + 761 x 762 + ... + 1667 x 1668.

Page of Squares : First Upload April 14, 2012 ; Last Revised April 14, 2012
by Yoshio Mimura, Kobe, Japan

26517

26517²± 2 are primes.

Page of Squares : First Upload February 12, 2014 ; Last Revised February 12, 2014
by Yoshio Mimura, Kobe, Japan

26520

26520² = (2² - 1)(3² - 1)(16² - 1)(339² - 1) = (5² - 1)(16² - 1)(339² - 1).

229² + 26520 = 281², 229² - 26520 = 161².

Page of Squares : First Upload April 14, 2012 ; Last Revised April 14, 2012
by Yoshio Mimura, Kobe, Japan

26532

26532² = (1² + 8)(2² + 8)(27² + 8)(94² + 8) = (10² + 8)(27² + 8)(94² + 8).

Page of Squares : First Upload February 12, 2014 ; Last Revised February 12, 2014
by Yoshio Mimura, Kobe, Japan

26565

26565² = 705699225, and 7056 = 84², 99225 = 315².

Page of Squares : First Upload April 14, 2012 ; Last Revised April 14, 2012
by Yoshio Mimura, Kobe, Japan

26569

26569 = 163² is a square pegged by 6.

Page of Squares : First Upload April 14, 2012 ; Last Revised April 14, 2012
by Yoshio Mimura, Kobe, Japan

26576

26576² = (12² + 7)(13² + 7)(163² + 7) = (2² + 7)(3² + 7)(12² + 7)(163² + 7).

Page of Squares : First Upload February 12, 2014 ; Last Revised February 12, 2014
by Yoshio Mimura, Kobe, Japan

26606

26606²± 3 are primes.

Page of Squares : First Upload February 12, 2014 ; Last Revised February 12, 2014
by Yoshio Mimura, Kobe, Japan

26610

26610² = 413² + 414² + 415² + ... + 1299².

Page of Squares : First Upload April 14, 2012 ; Last Revised April 14, 2012
by Yoshio Mimura, Kobe, Japan

26638

26638²± 3 are primes.

Page of Squares : First Upload February 12, 2014 ; Last Revised February 12, 2014
by Yoshio Mimura, Kobe, Japan

26650

26650² = (1² + 1)(8² + 1)(32² + 1)(73² + 1) = (2² + 1)(5² + 1)(32² + 1)(73² + 1)
= (2² + 1)(5² + 1)(8² + 1)(9² + 1)(32² + 1) = (2² + 1)(9² + 1)(18² + 1)(73² + 1)
= (5² + 1)(9² + 1)(18² + 1)(32² + 1) = (9² + 1)(2943² + 1).

Page of Squares : First Upload November 9, 2013 ; Last Revised November 9, 2013
by Yoshio Mimura, Kobe, Japan

26657

26657² = 232² + 233² + 234² + ... + 1289².

Page of Squares : First Upload April 14, 2012 ; Last Revised April 14, 2012
by Yoshio Mimura, Kobe, Japan

26670

26670² = (1² + 6)(6² + 6)(11² + 6)(138² + 6).

Page of Squares : First Upload February 12, 2014 ; Last Revised February 12, 2014
by Yoshio Mimura, Kobe, Japan

26690

26690² = (1² + 4)(56² + 4)(213² + 4).

Page of Squares : First Upload February 12, 2014 ; Last Revised February 12, 2014
by Yoshio Mimura, Kobe, Japan

26700

26700² = 51³ + 64³ + 72³ + 893³.

Page of Squares : First Upload April 14, 2012 ; Last Revised April 14, 2012
by Yoshio Mimura, Kobe, Japan

26733

26733² = 714653289 is a square with different digits.

Page of Squares : First Upload April 14, 2012 ; Last Revised April 14, 2012
by Yoshio Mimura, Kobe, Japan

26740

26740²± 3 are primes.

Page of Squares : First Upload February 12, 2014 ; Last Revised February 12, 2014
by Yoshio Mimura, Kobe, Japan

26746

26746² = 5448² + 5449² + 5450² + ... + 5471².

Page of Squares : First Upload April 14, 2012 ; Last Revised April 14, 2012
by Yoshio Mimura, Kobe, Japan

26750

26750²= 6 x 7 + 7 x 8 + 8 x 9 + 9 x 10 + ... + 1289 x 1290.

Page of Squares : First Upload April 14, 2012 ; Last Revised April 14, 2012
by Yoshio Mimura, Kobe, Japan

26754

26754² = (2² + 3)(33² + 3)(306² + 3) = (2² + 3)(5² + 3)(6² + 3)(306² + 3)
= (7² + 3)(12² + 3)(306² + 3).

Page of Squares : First Upload February 12, 2014 ; Last Revised February 12, 2014
by Yoshio Mimura, Kobe, Japan

26856

26856² = 284³ + 693³ + 715³.

Page of Squares : First Upload April 14, 2012 ; Last Revised April 14, 2012
by Yoshio Mimura, Kobe, Japan

26880

26880² = (2² - 1)(3² - 1)(6² - 1)(7² - 1)(9² - 1)(15² - 1) = (2² - 1)(3² - 1)(9² - 1)(15² - 1)(41² - 1)
= (3² - 1)(13² - 1)(15² - 1)(49² - 1) = (3² - 1)(9² - 1)(11² - 1)(97² - 1)
= (3² - 1)(9² - 1)(15² - 1)(71² - 1) = (5² - 1)(6² - 1)(7² - 1)(9² - 1)(15² - 1)
= (5² - 1)(9² - 1)(15² - 1)(41² - 1) = (7² - 1)(9² - 1)(15² - 1)(29² - 1) = (9² - 1)(31² - 1)(97² - 1).

Page of Squares : First Upload February 12, 2014 ; Last Revised February 12, 2014
by Yoshio Mimura, Kobe, Japan

26886

26886²± 5 are primes.

Page of Squares : First Upload February 12, 2014 ; Last Revised February 12, 2014
by Yoshio Mimura, Kobe, Japan

26895

26895²± 2 are primes.

26895² = 3779² + 3780² + 3781² + ... + 3828².

Page of Squares : First Upload April 14, 2012 ; Last Revised February 12, 2014
by Yoshio Mimura, Kobe, Japan

26904

26904² = (12² + 8)(13² + 8)(164² + 8).

Page of Squares : First Upload February 12, 2014 ; Last Revised February 12, 2014
by Yoshio Mimura, Kobe, Japan

26928

26928² = (1² + 8)(3² + 8)(6² + 8)(16² + 8)(20² + 8) = (1² + 8)(4² + 8)(38² + 8)(48² + 8)
= (1² + 8)(4² + 8)(5² + 8)(6² + 8)(48² + 8) = (1² + 8)(6² + 8)(28² + 8)(48² + 8)
= (14² + 8)(16² + 8)(116² + 8) = (16² + 8)(20² + 8)(82² + 8) = (2² + 8)(3² + 8)(16² + 8)(116² + 8)
= (2² + 8)(3² + 8)(5² + 8)(16² + 8)(20² + 8) = (2² + 8)(5² + 8)(28² + 8)(48² + 8)
= (2² + 8)(6² + 8)(14² + 8)(82² + 8) = (3² + 8)(14² + 8)(16² + 8)(28² + 8)
= (3² + 8)(4² + 8)(16² + 8)(82² + 8) = (3² + 8)(4² + 8)(5² + 8)(14² + 8)(16² + 8)
= (3² + 8)(5² + 8)(6² + 8)(8² + 8)(20² + 8) = (3² + 8)(6² + 8)(8² + 8)(116² + 8)
= (3² + 8)(8² + 8)(20² + 8)(38² + 8) = (4² + 8)(6² + 8)(17² + 8)(48² + 8)
= (5² + 8)(14² + 8)(16² + 8)(20² + 8).

Page of Squares : First Upload February 12, 2014 ; Last Revised February 12, 2014
by Yoshio Mimura, Kobe, Japan

26933

26933² = 897² + 898² + 899² + ... + 1425².

Page of Squares : First Upload April 14, 2012 ; Last Revised April 14, 2012
by Yoshio Mimura, Kobe, Japan

26934

26934²± 5 are primes.

Page of Squares : First Upload February 12, 2014 ; Last Revised February 12, 2014
by Yoshio Mimura, Kobe, Japan

26937

26937²± 2 are primes.

Page of Squares : First Upload February 12, 2014 ; Last Revised February 12, 2014
by Yoshio Mimura, Kobe, Japan

26950

26950² = (1² + 6)(2² + 6)(8² + 6)(13² + 6)(29² + 6) = (1² + 6)(4² + 6)(7² + 6)(13² + 6)(22² + 6)
= (1² + 6)(7² + 6)(22² + 6)(62² + 6) = (1² + 6)(8² + 6)(13² + 6)(92² + 6)
= (13² + 6)(22² + 6)(92² + 6) = (2² + 6)(13² + 6)(22² + 6)(29² + 6).

Page of Squares : First Upload February 12, 2014 ; Last Revised February 12, 2014
by Yoshio Mimura, Kobe, Japan