Squares:13000s

13000

13000² = (1² + 4)(2² + 4)(6² + 4)(11² + 4)(29² + 4) = (1² + 4)(3² + 4)(10² + 4)(11² + 4)(14² + 4)
= (1² + 4)(3² + 4)(14² + 4)(114² + 4) = (10² + 4)(11² + 4)(114² + 4)
= (2² + 4)(11² + 4)(14² + 4)(29² + 4) = (2² + 4)(3² + 4)(11² + 4)(114² + 4).

13000² = 169000000, and 16 = 4², 9000000 = 3000².

Page of Squares : First Upload January 7, 2012 ; Last Revised January 18, 2014
by Yoshio Mimura, Kobe, Japan

13001

13001² = 169026001 is a reversible square (100620961 = 10031²).

Page of Squares : First Upload January 7, 2012 ; Last Revised January 7, 2012
by Yoshio Mimura, Kobe, Japan

13010

13010² = 16926100, and 169 = 13², 260100 = 510².

Page of Squares : First Upload January 7, 2012 ; Last Revised January 7, 2012
by Yoshio Mimura, Kobe, Japan

13011

13011² = 169286121 is a reversible square (121682961 = 11031²).

Page of Squares : First Upload January 7, 2012 ; Last Revised January 7, 2012
by Yoshio Mimura, Kobe, Japan

13019

13019² = 253² + 254² + 255² + ... + 806².

Page of Squares : First Upload January 7, 2012 ; Last Revised January 7, 2012
by Yoshio Mimura, Kobe, Japan

13024

13024² = (1² + 7)(13² + 7)(17² + 7)(20² + 7) = (1² + 7)(2² + 7)(3² + 7)(17² + 7)(20² + 7)
= (1² + 7)(3² + 7)(20² + 7)(57² + 7) = (11² + 7)(20² + 7)(57² + 7) = (13² + 7)(17² + 7)(57² + 7)
= (17² + 7)(757² + 7) = (2² + 7)(11² + 7)(17² + 7)(20² + 7) = (2² + 7)(3² + 7)(17² + 7)(57² + 7)
= (3² + 7)(9² + 7)(17² + 7)(20² + 7).

Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014
by Yoshio Mimura, Kobe, Japan

13050

13050² = (1² + 9)(4² + 9)(6² + 9)(123² + 9) = (4² + 9)(21² + 9)(123² + 9)
= (4² + 9)(6² + 9)(7² + 9)(51² + 9) = (4² + 9)(7² + 9)(9² + 9)(36² + 9).

Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014
by Yoshio Mimura, Kobe, Japan

13054

13054² = S2(56) + S2(799), where S2(n) = 1² + 2² + 3² + ... + n².

Page of Squares : First Upload January 7, 2012 ; Last Revised January 7, 2012
by Yoshio Mimura, Kobe, Japan

13068

13068² = (1² + 8)(6² + 8)(17² + 8)(38² + 8) = (2² + 8)(5² + 8)(17² + 8)(38² + 8).

Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014
by Yoshio Mimura, Kobe, Japan

13082

13082² = S2(162) + S2(798), where S2(n) = 1² + 2² + 3² + ... + n².

Page of Squares : First Upload January 7, 2012 ; Last Revised January 7, 2012
by Yoshio Mimura, Kobe, Japan

13104

13104² = (1² + 3)(3² + 3)(6² + 3)(9² + 3)(33² + 3) = (2² - 1)(3² - 1)(8² - 1)(337² - 1)
= (5² - 1)(8² - 1)(337² - 1).

13104² = 105³ + 106³ + ... + 168³.

Page of Squares : First Upload January 7, 2012 ; Last Revised January 18, 2014
by Yoshio Mimura, Kobe, Japan

13117

13117² = (2² + 9)(3638² + 9).

Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014
by Yoshio Mimura, Kobe, Japan

13130

13130² = (1² + 1)(18² + 1)(515² + 1) = (1² + 1)(2² + 1)(8² + 1)(515² + 1)
= (3² + 1)(8² + 1)(515² + 1) = (1² + 4)(3² + 4)(20² + 4)(81² + 4).

Page of Squares : First Upload November 9, 2013 ; Last Revised January 18, 2014
by Yoshio Mimura, Kobe, Japan

13143

13143² = 353² + 355² + 357² + 359² + ... + 1025².

Page of Squares : First Upload January 7, 2012 ; Last Revised January 7, 2012
by Yoshio Mimura, Kobe, Japan

13147

13147² = 172843609 is a square consisting of different digits.

Page of Squares : First Upload January 7, 2012 ; Last Revised January 7, 2012
by Yoshio Mimura, Kobe, Japan

13154

13154²± 3 are primes.

Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014
by Yoshio Mimura, Kobe, Japan

13158

13158² = (1² + 2)(2² + 2)(7² + 2)(16² + 2)(27² + 2) = (4² + 2)(7² + 2)(16² + 2)(27² + 2).

Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014
by Yoshio Mimura, Kobe, Japan

13195

13195² = S2(599) + S2(674), where S2(n) = 1² + 2² + 3² + ... + n².

Page of Squares : First Upload January 7, 2012 ; Last Revised January 7, 2012
by Yoshio Mimura, Kobe, Japan

13208

13208²± 3 are primes.

Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014
by Yoshio Mimura, Kobe, Japan

13224

13224² = S2(34) + S2(806), where S2(n) = 1² + 2² + 3² + ... + n².

1322413225 = 36365².

Page of Squares : First Upload January 7, 2012 ; Last Revised January 7, 2012
by Yoshio Mimura, Kobe, Japan

13230

13230² = (1² + 5)(2² + 5)(5² + 5)(10² + 5)(32² + 5) = (1² + 5)(4² + 5)(10² + 5)(115² + 5)
= (10² + 5)(11² + 5)(115² + 5) = (2² + 5)(10² + 5)(17² + 5)(25² + 5)
= (2² + 5)(3² + 5)(10² + 5)(115² + 5) = (2² + 5)(3² + 5)(4² + 5)(10² + 5)(25² + 5)
= (2² + 5)(4² + 5)(5² + 5)(10² + 5)(17² + 5) = (2² + 5)(5² + 5)(25² + 5)(32² + 5)
= (3² + 5)(10² + 5)(17² + 5)(20² + 5) = (3² + 5)(5² + 5)(20² + 5)(32² + 5)
= (4² + 5)(10² + 5)(11² + 5)(25² + 5) = (4² + 5)(25² + 5)(115² + 5)
= (5² + 5)(7² + 5)(10² + 5)(32² + 5).

Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014
by Yoshio Mimura, Kobe, Japan

13244

13244²± 3 are primes.

Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014
by Yoshio Mimura, Kobe, Japan

13250

13250² = (1² + 1)(2² + 1)(23² + 1)(182² + 1) = (3² + 1)(23² + 1)(182² + 1).

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

13253

13253² = 105² + 107² + 109² + 111² + ... + 1017².

Page of Squares : First Upload January 7, 2012 ; Last Revised January 7, 2012
by Yoshio Mimura, Kobe, Japan

13260

13260² = (1² + 9)(5² + 9)(11² + 9)(63² + 9).

Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014
by Yoshio Mimura, Kobe, Japan

13266

13266² = (1² + 2)(2² + 2)(3² + 2)(20² + 2)(47² + 2) = (1² + 2)(20² + 2)(382² + 2)
= (1² + 2)(8² + 2)(20² + 2)(47² + 2) = (14² + 2)(20² + 2)(47² + 2)
= (3² + 2)(4² + 2)(20² + 2)(47² + 2).

Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014
by Yoshio Mimura, Kobe, Japan

13268

13268² = 176039824 is a square consisting of different digits.

Page of Squares : First Upload January 7, 2012 ; Last Revised January 7, 2012
by Yoshio Mimura, Kobe, Japan

13278

13278² = 176305284 is a square consisting of different digits.

Page of Squares : First Upload January 7, 2012 ; Last Revised January 7, 2012
by Yoshio Mimura, Kobe, Japan

13284

13284² = (1² + 8)(10² + 8)(19² + 8)(22² + 8).

Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014
by Yoshio Mimura, Kobe, Japan

13323

13323²± 2 are primes.

Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014
by Yoshio Mimura, Kobe, Japan

13328

13328² = 3216 * 3217 + 3218 * 3219 + 3220 * 3221 + 3222 * 3223 + ... + 3248 * 3249.

Page of Squares : First Upload January 7, 2012 ; Last Revised January 7, 2012
by Yoshio Mimura, Kobe, Japan

13334

13334² = 177795556, 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

13343

13343² = 178035649 is a square consisting of different digits.

Page of Squares : First Upload January 7, 2012 ; Last Revised January 7, 2012
by Yoshio Mimura, Kobe, Japan

13374

13374, 13375, 13376 and 13377 are four consecutive integers having square factors (the 10th case).

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

13395

13395² = 7³ + 8³ + 19³ + 23³ + 564³.

Page of Squares : First Upload January 7, 2012 ; Last Revised January 7, 2012
by Yoshio Mimura, Kobe, Japan

13398

13398² = (4² + 6)(9² + 6)(15² + 6)(20² + 6) = (6² + 6)(15² + 6)(136² + 6).

Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014
by Yoshio Mimura, Kobe, Japan

13414

13414² = 179935396, 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

13420

13420² = 1159 * 1160 + 1160 * 1161 + 1161 * 1162 + ... + 1279 * 1280
= 145 * 146 + 146 * 147 + 147 * 148 + ... + 815 * 816.

Page of Squares : First Upload January 7, 2012 ; Last Revised January 7, 2012
by Yoshio Mimura, Kobe, Japan

13425

13425²± 2 are primes.

Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014
by Yoshio Mimura, Kobe, Japan

13431

13431² = 1099² + 1101² + 1103² + 1105² + ... + 1339².

Page of Squares : First Upload January 7, 2012 ; Last Revised January 7, 2012
by Yoshio Mimura, Kobe, Japan

13432

13432²± 3 are primes.

Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014
by Yoshio Mimura, Kobe, Japan

13434

13434² = 180472356 is a square consisting of different digits.

Page of Squares : First Upload January 7, 2012 ; Last Revised January 7, 2012
by Yoshio Mimura, Kobe, Japan

13440

13440² = (15² - 1)(29² - 1)(31² - 1) = (2² - 1)(3² - 1)(6² - 1)(15² - 1)(31² - 1)
= (3² - 1)(11² - 1)(15² - 1)(29² - 1) = (3² - 1)(49² - 1)(97² - 1)
= (3² - 1)(5² - 1)(6² - 1)(11² - 1)(15² - 1) = (3² - 1)(6² - 1)(7² - 1)(9² - 1)(13² - 1)
= (3² - 1)(9² - 1)(13² - 1)(41² - 1) = (5² - 1)(6² - 1)(15² - 1)(31² - 1)
= (6² - 1)(9² - 1)(15² - 1)(17² - 1).

Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014
by Yoshio Mimura, Kobe, Japan

13452

13452²± 5 are primes.

Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014
by Yoshio Mimura, Kobe, Japan

13456

13456 is a square (116²) with increasing digits.

Page of Squares : First Upload January 7, 2012 ; Last Revised January 7, 2012
by Yoshio Mimura, Kobe, Japan

13460

13460²± 3 are primes.

Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014
by Yoshio Mimura, Kobe, Japan

13462

13462² = (10² + 6)(11² + 6)(116² + 6).

Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014
by Yoshio Mimura, Kobe, Japan

13464

13464² = (1² + 8)(5² + 8)(16² + 8)(48² + 8) = (16² + 8)(17² + 8)(48² + 8)
= (3² + 8)(28² + 8)(116² + 8) = (3² + 8)(4² + 8)(5² + 8)(116² + 8)
= (3² + 8)(5² + 8)(20² + 8)(28² + 8) = (48² + 8)(280² + 8) = (5² + 8)(20² + 8)(116² + 8).

Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014
by Yoshio Mimura, Kobe, Japan

13468

13468² = (1² + 3)(7² + 3)(16² + 3)(58² + 3).

Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014
by Yoshio Mimura, Kobe, Japan

13475

13475² = (29² + 6)(463² + 6).

Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014
by Yoshio Mimura, Kobe, Japan

13485

13485² = (3² + 6)(5² + 6)(9² + 6)(67² + 6).

Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014
by Yoshio Mimura, Kobe, Japan

13500

13500² = (1² + 9)(3² + 9)(4² + 9)(9² + 9)(21² + 9).

Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014
by Yoshio Mimura, Kobe, Japan

13510

13510²± 3 are primes.

Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014
by Yoshio Mimura, Kobe, Japan

13520

13520² = (1² + 4)(2² + 4)(4² + 4)(478² + 4) = (2² + 4)(10² + 4)(16² + 4)(29² + 4)
= (2² + 4)(3² + 4)(4² + 4)(10² + 4)(29² + 4) = (4² + 4)(6² + 4)(478² + 4)
= (2³ + 5)(3³ + 5)(5³ + 5)(15³ + 5).

Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014
by Yoshio Mimura, Kobe, Japan

13528

13528²± 3 are primes.

Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014
by Yoshio Mimura, Kobe, Japan

13529

13529² = (9² + 2)(1485² + 2).

Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014
by Yoshio Mimura, Kobe, Japan

13538

13538²± 3 are primes.

Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014
by Yoshio Mimura, Kobe, Japan

13545

13545² = 183467025 is a square consisting of different digits.

Page of Squares : First Upload January 7, 2012 ; Last Revised January 7, 2012
by Yoshio Mimura, Kobe, Japan

13563

13563² = (1² + 8)(5² + 8)(787² + 8) = (17² + 8)(787² + 8).

Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014
by Yoshio Mimura, Kobe, Japan

13570

13570² = 477 * 478 + 479 * 480 + 481 * 482 + 483 * 484 + ... + 1065 * 1066.

Page of Squares : First Upload January 7, 2012 ; Last Revised January 7, 2012
by Yoshio Mimura, Kobe, Japan

13587

13587²± 2 are primes.

Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014
by Yoshio Mimura, Kobe, Japan

13588

13588²± 3 are primes.

Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014
by Yoshio Mimura, Kobe, Japan

13596

13596²± 5 are primes.

Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014
by Yoshio Mimura, Kobe, Japan

13600

13600² = (1² + 4)(2² + 4)(4² + 4)(6² + 4)(76² + 4)
= (1² + 4)(2² + 4)(4² + 4)(6² + 4)(8² + 4)(9² + 4) = (1² + 4)(4² + 4)(6² + 4)(8² + 4)(26² + 4)
= (2² + 4)(4² + 4)(14² + 4)(76² + 4) = (2² + 4)(4² + 4)(8² + 4)(9² + 4)(14² + 4)
= (4² + 4)(8² + 4)(14² + 4)(26² + 4).

Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014
by Yoshio Mimura, Kobe, Japan

13608

13608² = 9³ + 84³ + 132³ + 567³.

Page of Squares : First Upload January 7, 2012 ; Last Revised January 7, 2012
by Yoshio Mimura, Kobe, Japan

13616

13616² = (4² + 7)(17² + 7)(165² + 7).

Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014
by Yoshio Mimura, Kobe, Japan

13633

13633² = 185858689 is a square pegged by 8.

Page of Squares : First Upload January 7, 2012 ; Last Revised January 7, 2012
by Yoshio Mimura, Kobe, Japan

13639

13639² = 309² + 310² + 311² + ... + 837².

Page of Squares : First Upload January 7, 2012 ; Last Revised January 7, 2012
by Yoshio Mimura, Kobe, Japan

13642

13642² = 533 * 534 + 534 * 535 + 535 * 536 + ... + 891 * 892.

Page of Squares : First Upload January 7, 2012 ; Last Revised January 7, 2012
by Yoshio Mimura, Kobe, Japan

13650

13650² = (1² + 2³ + 3³ + ... + 24²)(25² + 26³ + 27³ + ... + 50²).

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

13680

13680² = (19² - 1)(721² - 1) = (2² - 1)(11² - 1)(721² - 1) = (2² - 1)(3² - 1)(4² - 1)(721² - 1)
= (4² - 1)(5² - 1)(721² - 1).

Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014
by Yoshio Mimura, Kobe, Japan

13689

13689 is a square (117²) with different increasing digits.

Page of Squares : First Upload January 7, 2012 ; Last Revised January 7, 2012
by Yoshio Mimura, Kobe, Japan

13696

13696² = (1² + 7)(3² + 7)(10² + 7)(117² + 7) = (10² + 7)(11² + 7)(117² + 7)
= (3² + 7)(10² + 7)(331² + 7).

Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014
by Yoshio Mimura, Kobe, Japan

13698

13698²± 5 are primes.

Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014
by Yoshio Mimura, Kobe, Japan

13702

13702²± 3 are primes.

Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014
by Yoshio Mimura, Kobe, Japan

13698

13698² = 187635204 is a square consisting of different digits.

Page of Squares : First Upload January 7, 2012 ; Last Revised January 7, 2012
by Yoshio Mimura, Kobe, Japan

13725

13725² = (6² + 9)(2046² + 9).

Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014
by Yoshio Mimura, Kobe, Japan

13761

13761²± 2 are primes.

Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014
by Yoshio Mimura, Kobe, Japan

13762

13762²± 3 are primes.

Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014
by Yoshio Mimura, Kobe, Japan

13770

13770² = (3² + 9)(6² + 9)(12² + 9)(39² + 9).

Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014
by Yoshio Mimura, Kobe, Japan

13780

13780² = 887 * 888 + 889 * 890 + 891 * 892 + 893 * 894 + ... + 1223 * 1224.

13780² = (1² + 1)(5² + 1)(23² + 1)(83² + 1).

Page of Squares : First Upload January 7, 2012 ; Last Revised November 9, 2013
by Yoshio Mimura, Kobe, Japan

13796

13796²± 3 are primes.

Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014
by Yoshio Mimura, Kobe, Japan

13818

13818² = (1² + 5)(18² + 5)(311² + 5).

Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014
by Yoshio Mimura, Kobe, Japan

13823

13823² = S2(233) + S2(824), where S2(n) = 1² + 2² + 3² + ... + n².

Page of Squares : First Upload January 7, 2012 ; Last Revised January 7, 2012
by Yoshio Mimura, Kobe, Japan

13824

13824²± 5 are primes.

Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014
by Yoshio Mimura, Kobe, Japan

13830

13830² = (5² + 5)(2525² + 5).

Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014
by Yoshio Mimura, Kobe, Japan

13832

13832² = (1² + 3)(2² + 3)(19² + 3)(137² + 3) = (2² + 3)(5² + 3)(7² + 3)(137² + 3)
= (1² + 3)(5² + 3)(1307² + 3) = (4² + 3)(7² + 3)(19² + 3)(23² + 3) = (5² + 3)(19² + 3)(137² + 3).

Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014
by Yoshio Mimura, Kobe, Japan

13834

13834² = 191379556, 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

13839

13839²± 2 are primes.

Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014
by Yoshio Mimura, Kobe, Japan

13846

13846² = 191711716, 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

13848

13848² = (8² + 8)(1632² + 8).

Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014
by Yoshio Mimura, Kobe, Japan

13854

13854² = 191933316, 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

13860

13860² = (10² - 1)(34² - 1)(41² - 1) = (6² - 1)(7² - 1)(10² - 1)(34² - 1)
= (8² - 1)(23² - 1)(76² - 1).

13860² = 2*3*4 + 4*5*6 + 6*7*8 + 8*9*10 + ... + 196*197*198.

Page of Squares : First Upload October 26, 2103 ; Last Revised January 18, 2014
by Yoshio Mimura, Kobe, Japan

13862

13862² = 775² + 776² + 777² + ... + 1013².

Page of Squares : First Upload January 7, 2012 ; Last Revised January 7, 2012
by Yoshio Mimura, Kobe, Japan

13872

13872² = (14² + 8)(20² + 8)(48² + 8) = (2² + 8)(3² + 8)(20² + 8)(48² + 8)
= (3² + 8)(4² + 8)(14² + 8)(48² + 8).

Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014
by Yoshio Mimura, Kobe, Japan

13881

13881² = S2(650) + S2(671), where S2(n) = 1² + 2² + 3² + ... + n².

Page of Squares : First Upload January 7, 2012 ; Last Revised January 7, 2012
by Yoshio Mimura, Kobe, Japan

13893

13893²± 2 are primes.

Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014
by Yoshio Mimura, Kobe, Japan

13904

13904² = (1² + 7)(2² + 7)(5² + 7)(262² + 7) = (3² + 7)(13² + 7)(262² + 7)
= (5² + 7)(9² + 7)(262² + 7) = (53² + 7)(262² + 7).

Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014
by Yoshio Mimura, Kobe, Japan

13908

13908² = (15² + 3)(27² + 3)(34² + 3) = (3² + 3)(4² + 3)(27² + 3)(34² + 3).

Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014
by Yoshio Mimura, Kobe, Japan

13914

13914² = 193599396, 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

13915

13915² = 193627225, and 1936 = 44², 27225 = 165².

Page of Squares : First Upload January 7, 2012 ; Last Revised January 7, 2012
by Yoshio Mimura, Kobe, Japan

13924

13924 is a square (118²) consisting of different digits.

Page of Squares : First Upload January 7, 2012 ; Last Revised January 7, 2012
by Yoshio Mimura, Kobe, Japan

13932

13932² = (1² + 8)(2² + 8)(11² + 8)(118² + 8) = (10² + 8)(11² + 8)(118² + 8).

Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014
by Yoshio Mimura, Kobe, Japan

13940

13940² = (1² + 4)(8² + 4)(756² + 4).

Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014
by Yoshio Mimura, Kobe, Japan

13970

13970² = (2² + 6)(11² + 6)(392² + 6).

Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014
by Yoshio Mimura, Kobe, Japan

13990

13990²± 3 are primes.

Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014
by Yoshio Mimura, Kobe, Japan