Squares:15000s

15015

15015²± 2 are primes.

Page of Squares : First Upload January 25, 2014 ; Last Revised January 25, 2014
by Yoshio Mimura, Kobe, Japan

15048

15048² = (1² + 8)(4² + 8)(12² + 8)(83² + 8) = (5² + 8)(7² + 8)(12² + 8)(28² + 8).

Page of Squares : First Upload January 25, 2014 ; Last Revised January 25, 2014
by Yoshio Mimura, Kobe, Japan

15057

15057²± 2 are primes.

Page of Squares : First Upload January 25, 2014 ; Last Revised January 25, 2014
by Yoshio Mimura, Kobe, Japan

15063

15063²± 2 are primes.

Page of Squares : First Upload January 25, 2014 ; Last Revised January 25, 2014
by Yoshio Mimura, Kobe, Japan

15070

15070²± 3 are primes.

Page of Squares : First Upload January 25, 2014 ; Last Revised January 25, 2014
by Yoshio Mimura, Kobe, Japan

15078

15078²± 5 are primes.

Page of Squares : First Upload January 25, 2014 ; Last Revised January 25, 2014
by Yoshio Mimura, Kobe, Japan

15080

15080² = (1² + 4)(2² + 4)(29² + 4)(82² + 4) = (1² + 4)(3² + 4)(5² + 4)(10² + 4)(34² + 4)
= (1² + 4)(34² + 4)(198² + 4) = (1² + 4)(5² + 4)(6² + 4)(198² + 4)
= (2² + 4)(5² + 4)(29² + 4)(34² + 4) = (4² + 4)(24² + 4)(140² + 4)
= (5² + 4)(14² + 4)(198² + 4) = (6² + 4)(29² + 4)(82² + 4).

Page of Squares : First Upload January 25, 2014 ; Last Revised January 25, 2014
by Yoshio Mimura, Kobe, Japan

15085

15085² = 227557225 is a square with 3 kinds of digits (2,5,7).

Page of Squares : First Upload January 21, 2012 ; Last Revised January 21, 2012
by Yoshio Mimura, Kobe, Japan

15087

15087²± 2 are primes.

Page of Squares : First Upload January 25, 2014 ; Last Revised January 25, 2014
by Yoshio Mimura, Kobe, Japan

15109

15109² = 228281881 is a square with 3 kinds of digits (1,2,8).

Page of Squares : First Upload January 21, 2012 ; Last Revised January 21, 2012
by Yoshio Mimura, Kobe, Japan

15120

15120² = (2² - 1)(3² - 1)(4² - 1)(6² - 1)(8² - 1)(17² - 1) = (2² - 1)(3² - 1)(8² - 1)(15² - 1)(26² - 1)
= (2² - 1)(4² - 1)(41² - 1)(55² - 1) = (2² - 1)(4² - 1)(6² - 1)(7² - 1)(55² - 1)
= (2² - 1)(4² - 1)(7² - 1)(8² - 1)(41² - 1) = (2² - 1)(4² - 1)(8² - 1)(15² - 1)(19² - 1)
= (2² - 1)(6² - 1)(8² - 1)(11² - 1)(17² - 1) = (4² - 1)(5² - 1)(6² - 1)(8² - 1)(17² - 1)
= (4² - 1)(55² - 1)(71² - 1) = (4² - 1)(7² - 1)(8² - 1)(71² - 1) = (4² - 1)(8² - 1)(17² - 1)(29² - 1)
= (4² - 1)(8² - 1)(9² - 1)(55² - 1) = (5² - 1)(8² - 1)(15² - 1)(26² - 1)
= (6² - 1)(8² - 1)(17² - 1)(19² - 1) = (7² - 1)(9² - 1)(244² - 1).

15120² = 12² / 3² - 4² + 5² * 6² * 7² * 8² * 9²
= 12² - 3² * 4² + 5² * 6² * 7² * 8² * 9².

Page of Squares : First Upload January 21, 2012 ; Last Revised January 25, 2014
by Yoshio Mimura, Kobe, Japan

15130

15130² = (2² + 1)(55² + 1)(123² + 1)
= (76² + 4)(199² + 4) = (8² + 4)(9² + 4)(199² + 4).

Page of Squares : First Upload November 9, 2013 ; Last Revised January 25, 2014
by Yoshio Mimura, Kobe, Japan

15132

15132² = (1² + 3)(45² + 3)(168² + 3) = (1² + 3)(6² + 3)(7² + 3)(168² + 3).

Page of Squares : First Upload January 25, 2014 ; Last Revised January 25, 2014
by Yoshio Mimura, Kobe, Japan

15136

15136² = (2² + 7)(37² + 7)(123² + 7) = (2² + 7)(5² + 7)(6² + 7)(123² + 7).

Page of Squares : First Upload January 25, 2014 ; Last Revised January 25, 2014
by Yoshio Mimura, Kobe, Japan

15138

15138² = (13² + 5)(16² + 5)(71² + 5).

Page of Squares : First Upload January 25, 2014 ; Last Revised January 25, 2014
by Yoshio Mimura, Kobe, Japan

15141

15141² = (32² + 5)(472² + 5).

Page of Squares : First Upload January 25, 2014 ; Last Revised January 25, 2014
by Yoshio Mimura, Kobe, Japan

15145

15145² = (29² + 4)(521² + 4).

Page of Squares : First Upload January 25, 2014 ; Last Revised January 25, 2014
by Yoshio Mimura, Kobe, Japan

15147

15147² = (1² + 8)(3² + 8)(17² + 8)(71² + 8) = (3² + 8)(5² + 8)(17² + 8)(37² + 8)
= (5² + 8)(37² + 8)(71² + 8).

Page of Squares : First Upload January 25, 2014 ; Last Revised January 25, 2014
by Yoshio Mimura, Kobe, Japan

15150

15150² = (12² + 6)(14² + 6)(87² + 6) = (2² + 6)(3² + 6)(14² + 6)(87² + 6).

Page of Squares : First Upload January 25, 2014 ; Last Revised January 25, 2014
by Yoshio Mimura, Kobe, Japan

15170

15170² = (14² + 9)(19² + 9)(55² + 9).

Page of Squares : First Upload January 25, 2014 ; Last Revised January 25, 2014
by Yoshio Mimura, Kobe, Japan

15180

15180² = 230432400, and 2304 = 48², 32400 = 180².

Page of Squares : First Upload January 21, 2012 ; Last Revised January 21, 2012
by Yoshio Mimura, Kobe, Japan

15182

15182²± 3 are primes.

Page of Squares : First Upload January 25, 2014 ; Last Revised January 25, 2014
by Yoshio Mimura, Kobe, Japan

15184

15184²± 3 are primes.

Page of Squares : First Upload January 25, 2014 ; Last Revised January 25, 2014
by Yoshio Mimura, Kobe, Japan

15204

15204² = (1² + 3)(12² + 3)(627² + 3) = (2² + 3)(9² + 3)(627² + 3).

Page of Squares : First Upload January 25, 2014 ; Last Revised January 25, 2014
by Yoshio Mimura, Kobe, Japan

15210

15210² = (1² + 9)(6² + 9)(717² + 9) = (15² + 9)(24² + 9)(41² + 9)
= (2² + 9)(11² + 9)(15² + 9)(24² + 9) = (2² + 9)(3² + 9)(24² + 9)(41² + 9)
= (2² + 9)(6² + 9)(15² + 9)(41² + 9) = (21² + 9)(717² + 9) = (3² + 9)(4² + 9)(717² + 9).

Page of Squares : First Upload January 25, 2014 ; Last Revised January 25, 2014
by Yoshio Mimura, Kobe, Japan

15216

15216²± 5 are primes.

Page of Squares : First Upload January 25, 2014 ; Last Revised January 25, 2014
by Yoshio Mimura, Kobe, Japan

15219

15219²± 2 are primes.

15219² = 230432400, and 2304 = 48², 32400 = 180².

(15219² - 3) = (4² - 3)(5² - 3)(6² - 3)(10² - 3)(16² - 3)
= (2² - 3)(4² - 3)(5² - 3)(6² - 3)(10² - 3)(16² - 3).

Page of Squares : First Upload January 21, 2012 ; Last Revised January 25, 2014
by Yoshio Mimura, Kobe, Japan

15224

15224²± 3 are primes.

Page of Squares : First Upload January 25, 2014 ; Last Revised January 25, 2014
by Yoshio Mimura, Kobe, Japan

15237

15237²± 2 are primes.

Page of Squares : First Upload January 25, 2014 ; Last Revised January 25, 2014
by Yoshio Mimura, Kobe, Japan

15238

15238²± 3 are primes.

Page of Squares : First Upload January 25, 2014 ; Last Revised January 25, 2014
by Yoshio Mimura, Kobe, Japan

15250

15250² = (1² + 1)(2² + 1)(7² + 1)(682² + 1) = (3² + 1)(7² + 1)(682² + 1)
= (11² + 4)(1364² + 4).

Page of Squares : First Upload November 9, 2013 ; Last Revised January 25, 2014
by Yoshio Mimura, Kobe, Japan

15288

15288² = (1² + 3)(12² + 3)(19² + 3)(33² + 3) = (1² + 3)(2² + 3)(5² + 3)(12² + 3)(45² + 3)
= (1² + 3)(2² + 3)(5² + 3)(6² + 3)(7² + 3)(12² + 3) = (1² + 3)(2² + 3)(7² + 3)(12² + 3)(33² + 3)
= (1² + 3)(3² + 3)(7² + 3)(306² + 3) = (1² + 3)(5² + 3)(6² + 3)(12² + 3)(19² + 3)
= (1² + 3)(6² + 3)(33² + 3)(37² + 3) = (2² + 3)(3² + 3)(37² + 3)(45² + 3)
= (2² + 3)(3² + 3)(6² + 3)(7² + 3)(37² + 3) = (2² + 3)(3² + 3)(7² + 3)(12² + 3)(19² + 3)
= (2² + 3)(5² + 3)(6² + 3)(9² + 3)(19² + 3) = (2² + 3)(9² + 3)(19² + 3)(33² + 3)
= (3² + 3)(6² + 3)(19² + 3)(37² + 3) = (5² + 3)(7² + 3)(12² + 3)(33² + 3)
= (6² + 3)(7² + 3)(9² + 3)(37² + 3) = (7² + 3)(9² + 3)(12² + 3)(19² + 3)
= (9² + 3)(37² + 3)(45² + 3).

Page of Squares : First Upload January 25, 2014 ; Last Revised January 25, 2014
by Yoshio Mimura, Kobe, Japan

15300

15300² = (1² + 9)(3² + 9)(29² + 9)(39² + 9) = (1² + 9)(3² + 9)(4² + 9)(5² + 9)(39² + 9)
= (1² + 9)(3² + 9)(5² + 9)(6² + 9)(29² + 9) = (1² + 9)(5² + 9)(21² + 9)(39² + 9)
= (3² + 9)(5² + 9)(21² + 9)(29² + 9).

Page of Squares : First Upload January 25, 2014 ; Last Revised January 25, 2014
by Yoshio Mimura, Kobe, Japan

15302

15302² = 3112² + 3113² + 3114² + ... + 3135².

Page of Squares : First Upload January 21, 2012 ; Last Revised January 21, 2012
by Yoshio Mimura, Kobe, Japan

15314

15314² = (4² + 3)(20² + 3)(175² + 3).

Page of Squares : First Upload January 25, 2014 ; Last Revised January 25, 2014
by Yoshio Mimura, Kobe, Japan

15325

15325² = S2(355) + S2(870), where S2(n) = 1² + 2² + 3² + ... + n².

Page of Squares : First Upload January 21, 2012 ; Last Revised January 21, 2012
by Yoshio Mimura, Kobe, Japan

15353

15353² = 235714609 is a square consisting of different digits.

Page of Squares : First Upload January 21, 2012 ; Last Revised January 21, 2012
by Yoshio Mimura, Kobe, Japan

15376

15376 is a zigzag square (124²) consisting of different digits.

Page of Squares : First Upload January 21, 2012 ; Last Revised January 21, 2012
by Yoshio Mimura, Kobe, Japan

15400

15400²± 3 are primes.

Page of Squares : First Upload January 25, 2014 ; Last Revised January 25, 2014
by Yoshio Mimura, Kobe, Japan

15434

15434²± 3 are primes.

Page of Squares : First Upload January 25, 2014 ; Last Revised January 25, 2014
by Yoshio Mimura, Kobe, Japan

15442

15442²± 3 are primes.

Page of Squares : First Upload January 25, 2014 ; Last Revised January 25, 2014
by Yoshio Mimura, Kobe, Japan

15456

15456² = (15² - 1)(22² - 1)(47² - 1).

Page of Squares : First Upload January 25, 2014 ; Last Revised January 25, 2014
by Yoshio Mimura, Kobe, Japan

15457

15457² = (3² + 4)(4287² + 4).

Page of Squares : First Upload January 25, 2014 ; Last Revised January 25, 2014
by Yoshio Mimura, Kobe, Japan

15460

The sum of (7m + 4)² is 419616² for 4 <= 7m + 4 <= 15460.

Page of Squares : First Upload January 21, 2012 ; Last Revised January 21, 2012
by Yoshio Mimura, Kobe, Japan

15470

15470² = 1404 * 1405 + 1406 * 1407 + 1408 * 1409 + 1410 * 1411 + ... + 1612 * 1613.

Page of Squares : First Upload January 21, 2012 ; Last Revised January 21, 2012
by Yoshio Mimura, Kobe, Japan

15486

15486²± 5 are primes.

Page of Squares : First Upload January 25, 2014 ; Last Revised January 25, 2014
by Yoshio Mimura, Kobe, Japan

15488

15488² = (1² + 7)(2² + 7)(3² + 7)(13² + 7)(31² + 7) = (1² + 7)(2² + 7)(31² + 7)(53² + 7)
= (1² + 7)(2² + 7)(5² + 7)(9² + 7)(31² + 7) = (2² + 7)(11² + 7)(13² + 7)(31² + 7)
= (3² + 7)(9² + 7)(13² + 7)(31² + 7) = (9² + 7)(31² + 7)(53² + 7).

Page of Squares : First Upload January 25, 2014 ; Last Revised January 25, 2014
by Yoshio Mimura, Kobe, Japan

15492

15492² = 240002064 is a square with even digits.

Page of Squares : First Upload January 21, 2012 ; Last Revised January 21, 2012
by Yoshio Mimura, Kobe, Japan

15498

15498² = (1² + 5)(2² + 5)(3² + 5)(6² + 5)(88² + 5) = (1² + 5)(6² + 5)(11² + 5)(88² + 5)
= (2² + 5)(3² + 5)(4² + 5)(6² + 5)(47² + 5) = (2² + 5)(6² + 5)(17² + 5)(47² + 5)
= (2² + 5)(7² + 5)(703² + 5) = (3² + 5)(47² + 5)(88² + 5) = (3² + 5)(6² + 5)(7² + 5)(88² + 5)
= (4² + 5)(6² + 5)(11² + 5)(47² + 5).

Page of Squares : First Upload January 25, 2014 ; Last Revised January 25, 2014
by Yoshio Mimura, Kobe, Japan

15504

15504² = (12² + 8)(14² + 8)(88² + 8) = (12² + 8)(26² + 8)(48² + 8)
= (2² + 8)(3² + 8)(12² + 8)(88² + 8) = (2² + 8)(7² + 8)(12² + 8)(48² + 8)
= (3² - 1)(18² - 1)(305² - 1).

Page of Squares : First Upload January 25, 2014 ; Last Revised January 25, 2014
by Yoshio Mimura, Kobe, Japan

15540

15540² = (6² - 1)(36² - 1)(73² - 1).

Page of Squares : First Upload January 25, 2014 ; Last Revised January 25, 2014
by Yoshio Mimura, Kobe, Japan

15541

(15541² + 7) = (1² + 7)(5² + 7)(8²2 + 7)(9²2 + 7)(12² + 7)
= (2² + 7)(3² + 7)(8² + 7)(11² + 7)(12² + 7).

Page of Squares : First Upload January 21, 2012 ; Last Revised January 21, 2012
by Yoshio Mimura, Kobe, Japan

15544

15544² = (15² + 7)(23² + 7)(44² + 7).

Page of Squares : First Upload January 25, 2014 ; Last Revised January 25, 2014
by Yoshio Mimura, Kobe, Japan

15550

15550²± 3 are primes.

Page of Squares : First Upload January 25, 2014 ; Last Revised January 25, 2014
by Yoshio Mimura, Kobe, Japan

15576

15576² = (13² + 8)(16² + 8)(72² + 8).

15576² = 58² + 259² + 260² + ... + 906².

Page of Squares : First Upload January 21, 2012 ; Last Revised January 25, 2014
by Yoshio Mimura, Kobe, Japan

15588

15588²± 5 are primes.

Page of Squares : First Upload January 25, 2014 ; Last Revised January 25, 2014
by Yoshio Mimura, Kobe, Japan

15600

15600² = (4² - 1)(51² - 1)(79² - 1).

Page of Squares : First Upload January 25, 2014 ; Last Revised January 25, 2014
by Yoshio Mimura, Kobe, Japan

15606

15606² = (1² + 2)(5² + 2)(7² + 2)(10² + 2)(24² + 2) = (2² + 2)(24² + 2)(265² + 2).

Page of Squares : First Upload January 25, 2014 ; Last Revised January 25, 2014
by Yoshio Mimura, Kobe, Japan

15614

15614² = S2(536) + S2(832), where S2(n) = 1² + 2² + 3² + ... + n².

Page of Squares : First Upload January 21, 2012 ; Last Revised January 21, 2012
by Yoshio Mimura, Kobe, Japan

15622

15622² = 244046884 is a square with even digits.

Page of Squares : First Upload January 21, 2012 ; Last Revised January 21, 2012
by Yoshio Mimura, Kobe, Japan

15624

15624² = (12³ + 8)(52³ + 8).

Page of Squares : First Upload January 25, 2014 ; Last Revised January 25, 2014
by Yoshio Mimura, Kobe, Japan

15625

15625 is a square (125²), and 1 = 1², 5625 = 75².

Page of Squares : First Upload January 21, 2012 ; Last Revised January 21, 2012
by Yoshio Mimura, Kobe, Japan

15660

15660² = (1² + 9)(3² + 9)(9² + 9)(123² + 9) = (3² + 9)(7² + 9)(9² + 9)(51² + 9).

Page of Squares : First Upload January 25, 2014 ; Last Revised January 25, 2014
by Yoshio Mimura, Kobe, Japan

15662

15662²± 3 are primes.

Page of Squares : First Upload January 25, 2014 ; Last Revised January 25, 2014
by Yoshio Mimura, Kobe, Japan

15681

15681² = 245893761 is a square consisting of different digits.

Page of Squares : First Upload January 21, 2012 ; Last Revised January 21, 2012
by Yoshio Mimura, Kobe, Japan

15687

15687² = (4² + 5)(24² + 5)(142² + 5).

Page of Squares : First Upload January 25, 2014 ; Last Revised January 25, 2014
by Yoshio Mimura, Kobe, Japan

15693

15693²± 2 are primes.

Page of Squares : First Upload January 25, 2014 ; Last Revised January 25, 2014
by Yoshio Mimura, Kobe, Japan

15723

15723²± 2 are primes.

Page of Squares : First Upload January 25, 2014 ; Last Revised January 25, 2014
by Yoshio Mimura, Kobe, Japan

15725

15725² = (6² + 1)(38² + 1)(68² + 1).

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

15729

15729²± 2 are primes.

Page of Squares : First Upload January 25, 2014 ; Last Revised January 25, 2014
by Yoshio Mimura, Kobe, Japan

15762

15762² = 248440644 is a square with even digits.

Page of Squares : First Upload January 21, 2012 ; Last Revised January 21, 2012
by Yoshio Mimura, Kobe, Japan

15774

15774² = 899² + 900² + 901² + ... + 1137².

Page of Squares : First Upload January 21, 2012 ; Last Revised January 21, 2012
by Yoshio Mimura, Kobe, Japan

15791

15791 is the second prime for which the Legendre symbol (n/15791) = 1 for n = 1,2,3,...,22.

Page of Squares : First Upload January 21, 2012 ; Last Revised January 21, 2012
by Yoshio Mimura, Kobe, Japan

15792

15792² = 322*323*324 + 324*325*326 + 326*327*328 + 328*329*330 + ... + 334*335*336.

Page of Squares : First Upload October 26, 2103 ; Last Revised October 26, 2103
by Yoshio Mimura, Kobe, Japan

15801

15801²± 2 are primes.

Page of Squares : First Upload January 25, 2014 ; Last Revised January 25, 2014
by Yoshio Mimura, Kobe, Japan

15804

15804² = 9³ + 36³ + 487³ + 512³.

Page of Squares : First Upload January 21, 2012 ; Last Revised January 21, 2012
by Yoshio Mimura, Kobe, Japan

15824

15824² = (6² + 7)(37² + 7)(65² + 7).

Page of Squares : First Upload January 25, 2014 ; Last Revised January 25, 2014
by Yoshio Mimura, Kobe, Japan

15840

15840² = (2² - 1)(19² - 1)(21² - 1)(23² - 1) = (2² - 1)(4² - 1)(5² - 1)(21² - 1)(23² - 1)
= (2² - 1)(5² - 1)(21² - 1)(89² - 1) = (2² - 1)(5² - 1)(9² - 1)(10² - 1)(21² - 1)
= (3² - 1)(4² - 1)(7² - 1)(10² - 1)(21² - 1) = (4² - 1)(17² - 1)(241² - 1)
= (7² - 1)(10² - 1)(11² - 1)(21² - 1) = (7² - 1)(21² - 1)(109² - 1).

Page of Squares : First Upload January 25, 2014 ; Last Revised January 25, 2014
by Yoshio Mimura, Kobe, Japan

15848

15848²± 3 are primes.

15848, 15849, 15850, 15851 and 15852 are five consecutive integers having square factors (the 8th case).

Page of Squares : First Upload December 14, 2013 ; Last Revised January 25, 2014
by Yoshio Mimura, Kobe, Japan

15852

15852² = 6³ + 92³ + 487³ + 513³.

Page of Squares : First Upload January 21, 2012 ; Last Revised January 21, 2012
by Yoshio Mimura, Kobe, Japan

15858

15858² = (1² + 2)(4² + 2)(2158² + 2).

Page of Squares : First Upload January 25, 2014 ; Last Revised January 25, 2014
by Yoshio Mimura, Kobe, Japan

15867

15867² = (2² + 5)(6² + 5)(826² + 5).

Page of Squares : First Upload January 25, 2014 ; Last Revised January 25, 2014
by Yoshio Mimura, Kobe, Japan

15876

15876 is a square (126²) consisting of different digits.

15876² = (1² + 5)(2² + 5)(3² + 5)(4² + 5)(7² + 5)(17² + 5) = (1² + 5)(3² + 5)(17² + 5)(101² + 5)
= (1² + 5)(4² + 5)(7² + 5)(11² + 5)(17² + 5) = (2² + 5)(3² + 5)(7² + 5)(11² + 5)(17² + 5).

Page of Squares : First Upload January 21, 2012 ; Last Revised January 25, 2014
by Yoshio Mimura, Kobe, Japan

15878

15878² = S2(572) + S2(828), where S2(n) = 1² + 2² + 3² + ... + n².

Page of Squares : First Upload January 21, 2012 ; Last Revised January 21, 2012
by Yoshio Mimura, Kobe, Japan

15882

15882²± 5 are primes.

Page of Squares : First Upload January 25, 2014 ; Last Revised January 25, 2014
by Yoshio Mimura, Kobe, Japan

15884

15884² = 665² + 666² + 667² + ... + 1016².

Page of Squares : First Upload January 21, 2012 ; Last Revised January 21, 2012
by Yoshio Mimura, Kobe, Japan

15885

15885² = 252333225 is a square with 3 kinds of digits (2,3,5).

Page of Squares : First Upload January 21, 2012 ; Last Revised January 21, 2012
by Yoshio Mimura, Kobe, Japan

15904

15904² = (3² + 7)(7² + 7)(8² + 7)(63² + 7).

Page of Squares : First Upload January 25, 2014 ; Last Revised January 25, 2014
by Yoshio Mimura, Kobe, Japan

15906

15906²± 5 are primes.

Page of Squares : First Upload January 25, 2014 ; Last Revised January 25, 2014
by Yoshio Mimura, Kobe, Japan

15910

15910²± 3 are primes.

Page of Squares : First Upload January 25, 2014 ; Last Revised January 25, 2014
by Yoshio Mimura, Kobe, Japan

15950

15950² = (2² + 6)(37² + 6)(136² + 6).

Page of Squares : First Upload January 25, 2014 ; Last Revised January 25, 2014
by Yoshio Mimura, Kobe, Japan

15951

15951²± 2 are primes.

Page of Squares : First Upload January 25, 2014 ; Last Revised January 25, 2014
by Yoshio Mimura, Kobe, Japan

15960

15960² = (20² - 1)(799² - 1).

Page of Squares : First Upload January 25, 2014 ; Last Revised January 25, 2014
by Yoshio Mimura, Kobe, Japan

15961

15961² = S2(714) + S2(736), where S2(n) = 1² + 2² + 3² + ... + n².

Page of Squares : First Upload January 21, 2012 ; Last Revised January 21, 2012
by Yoshio Mimura, Kobe, Japan

15963

15963² = 254817369 is a square consisting of different digits.

Page of Squares : First Upload January 21, 2012 ; Last Revised January 21, 2012
by Yoshio Mimura, Kobe, Japan

15970

15970² = (4² + 4)(3571² + 4).

Page of Squares : First Upload January 25, 2014 ; Last Revised January 25, 2014
by Yoshio Mimura, Kobe, Japan

15975

15975² = 301² + 302² + 303² + ... + 925².

Page of Squares : First Upload January 21, 2012 ; Last Revised January 21, 2012
by Yoshio Mimura, Kobe, Japan

15985

15985² = 255520225 is a square with 3 kinds of digits (0,2,5).

Page of Squares : First Upload January 21, 2012 ; Last Revised January 21, 2012
by Yoshio Mimura, Kobe, Japan

15990

15990² = (14² + 9)(27² + 9)(41² + 9) = (2² + 9)(11² + 9)(14² + 9)(27² + 9).

Page of Squares : First Upload January 25, 2014 ; Last Revised January 25, 2014
by Yoshio Mimura, Kobe, Japan

15998

15998²± 3 are primes.

Page of Squares : First Upload January 25, 2014 ; Last Revised January 25, 2014
by Yoshio Mimura, Kobe, Japan