Squares:30000s

30001

30001² = 900060001 is a reversible square (100060009 = 10003²).

Page of Squares : First Upload May 12, 2012 ; Last Revised May 12, 2012
by Yoshio Mimura, Kobe, Japan

30011

30011² = 900660121 is a reversible square (121066009 = 11003²).

Page of Squares : First Upload May 12, 2012 ; Last Revised May 12, 2012
by Yoshio Mimura, Kobe, Japan

30025

30025² = 901500625, 9 = 3², 1500625 = 1225².

Page of Squares : First Upload May 12, 2012 ; Last Revised May 12, 2012
by Yoshio Mimura, Kobe, Japan

30039

30039²± 2 are primes.

Page of Squares : First Upload February 19, 2014 ; Last Revised February 19, 2014
by Yoshio Mimura, Kobe, Japan

30040

30040²± 3 are primes.

Page of Squares : First Upload February 19, 2014 ; Last Revised February 19, 2014
by Yoshio Mimura, Kobe, Japan

30096

30096² = (2² - 1)(3² - 1)(17² - 1)(362² - 1) = (5² - 1)(17² - 1)(362² - 1)
= (1² + 8)(12² + 8)(16² + 8)(50² + 8) = (1² + 8)(4² + 8)(16² + 8)(126² + 8)
= (1² + 8)(6² + 8)(7² + 8)(12² + 8)(16² + 8) = (2² + 8)(5² + 8)(7² + 8)(12² + 8)(16² + 8)
= (2² + 8)(6² + 8)(10² + 8)(126² + 8) = (2² + 8)(6² + 8)(26² + 8)(50² + 8)
= (2² + 8)(8² + 8)(12² + 8)(83² + 8) = (4² + 8)(5² + 8)(8² + 8)(126² + 8)
= (4² + 8)(7² + 8)(16² + 8)(50² + 8) = (5² + 8)(12² + 8)(16² + 8)(26² + 8)
= (5² + 8)(6² + 8)(12² + 8)(64² + 8) = (5² + 8)(6² + 8)(7² + 8)(8² + 8)(12² + 8)
= (5² + 8)(8² + 8)(12² + 8)(50² + 8) = (6² + 8)(12² + 8)(368² + 8)
= (7² + 8)(8² + 8)(12² + 8)(38² + 8) = (8² + 8)(28² + 8)(126² + 8)
= (12² + 8)(38² + 8)(64² + 8).

Page of Squares : First Upload February 19, 2014 ; Last Revised February 19, 2014
by Yoshio Mimura, Kobe, Japan

30101

30101² = 906070201 is a reversible square (102070609 = 10103²).

Page of Squares : First Upload May 12, 2012 ; Last Revised May 12, 2012
by Yoshio Mimura, Kobe, Japan

30106

30106²± 3 are primes.

Page of Squares : First Upload February 19, 2014 ; Last Revised February 19, 2014
by Yoshio Mimura, Kobe, Japan

30107

1² + 2² + 3² + ... + 30107² = 9097097099090 is a square with only 3 kinds of digits 0, 7, 9.

Page of Squares : First Upload May 12, 2012 ; Last Revised May 12, 2012
by Yoshio Mimura, Kobe, Japan

30110

30110²± 3 are primes.

Page of Squares : First Upload February 19, 2014 ; Last Revised February 19, 2014
by Yoshio Mimura, Kobe, Japan

30111

30111² = 906672321 is a reversible square (123276609 = 11103²).

Page of Squares : First Upload May 12, 2012 ; Last Revised May 12, 2012
by Yoshio Mimura, Kobe, Japan

30148

30148²± 3 are primes.

Page of Squares : First Upload February 19, 2014 ; Last Revised February 19, 2014
by Yoshio Mimura, Kobe, Japan

30160

30160² = (1² + 4)(2² + 4)(24² + 4)(198² + 4) = (1² + 4)(2² + 4)(3² + 4)(16² + 4)(82² + 4)
= (1² + 4)(2² + 4)(3² + 4)(5² + 4)(10² + 4)(24² + 4) = (1² + 4)(2² + 4)(34² + 4)(140² + 4)
= (1² + 4)(2² + 4)(4² + 4)(5² + 4)(198² + 4) = (1² + 4)(2² + 4)(5² + 4)(6² + 4)(140² + 4)
= (1² + 4)(3² + 4)(4² + 4)(10² + 4)(82² + 4) = (1² + 4)(10² + 4)(16² + 4)(82² + 4)
= (2² + 4)(3² + 4)(36² + 4)(82² + 4) = (2² + 4)(3² + 4)(5² + 4)(16² + 4)(34² + 4)
= (2² + 4)(4² + 4)(29² + 4)(82² + 4) = (2² + 4)(5² + 4)(14² + 4)(140² + 4)
= (3² + 4)(4² + 4)(5² + 4)(10² + 4)(34² + 4) = (3² + 4)(5² + 4)(6² + 4)(10² + 4)(24² + 4)
= (3² + 4)(6² + 4)(16² + 4)(82² + 4) = (3² + 4)(10² + 4)(24² + 4)(34² + 4)
= (4² + 4)(5² + 4)(6² + 4)(198² + 4) = (4² + 4)(34² + 4)(198² + 4)
= (5² + 4)(10² + 4)(16² + 4)(34² + 4) = (6² + 4)(24² + 4)(198² + 4)
= (6² + 4)(34² + 4)(140² + 4) = (10² + 4)(36² + 4)(82² + 4).

Page of Squares : First Upload February 19, 2014 ; Last Revised February 19, 2014
by Yoshio Mimura, Kobe, Japan

30180

30180²± 5 are primes.

Page of Squares : First Upload February 19, 2014 ; Last Revised February 19, 2014
by Yoshio Mimura, Kobe, Japan

30195

30195² = 2673² + 2674² + 2675² + ... + 2794².

Page of Squares : First Upload May 12, 2012 ; Last Revised May 12, 2012
by Yoshio Mimura, Kobe, Japan

30207

30207²± 2 are primes.

Page of Squares : First Upload February 19, 2014 ; Last Revised February 19, 2014
by Yoshio Mimura, Kobe, Japan

30240

339² + 30240 = 381², 339² - 30240 = 291²,
222² + 30240 = 282², 222² - 30240 = 138²,
174² + 30240 = 246², 174² - 30240 = 6².

30240² = (2² - 1)(3² - 1)(4² - 1)(29² - 1)(55² - 1) = (2² - 1)(3² - 1)(4² - 1)(5² - 1)(6² - 1)(55² - 1)
= (2² - 1)(3² - 1)(4² - 1)(5² - 1)(6² - 1)(7² - 1)(8² - 1)
= (2² - 1)(3² - 1)(4² - 1)(5² - 1)(8² - 1)(41² - 1) = (2² - 1)(3² - 1)(4² - 1)(7² - 1)(8² - 1)(29² - 1)
= (2² - 1)(3² - 1)(6² - 1)(19² - 1)(55² - 1) = (2² - 1)(3² - 1)(6² - 1)(7² - 1)(8² - 1)(19² - 1)
= (2² - 1)(3² - 1)(8² - 1)(11² - 1)(71² - 1) = (2² - 1)(3² - 1)(8² - 1)(19² - 1)(41² - 1)
= (2² - 1)(4² - 1)(5² - 1)(13² - 1)(71² - 1) = (2² - 1)(4² - 1)(5² - 1)(8² - 1)(9² - 1)(13² - 1)
= (2² - 1)(5² - 1)(6² - 1)(11² - 1)(55² - 1) = (2² - 1)(5² - 1)(6² - 1)(7² - 1)(8² - 1)(11² - 1)
= (2² - 1)(5² - 1)(8² - 1)(11² - 1)(41² - 1) = (2² - 1)(5² - 1)(8² - 1)(449² - 1)
= (2² - 1)(7² - 1)(26² - 1)(97² - 1) = (2² - 1)(7² - 1)(8² - 1)(11² - 1)(29² - 1)
= (2² - 1)(8² - 1)(31² - 1)(71² - 1) = (2² - 1)(8² - 1)(9² - 1)(13² - 1)(19² - 1)
= (2² - 1)(11² - 1)(29² - 1)(55² - 1) = (2² - 1)(13² - 1)(19² - 1)(71² - 1)
= (3² - 1)(4² - 1)(5² - 1)(8² - 1)(71² - 1) = (3² - 1)(5² - 1)(9² - 1)(244² - 1)
= (3² - 1)(8² - 1)(19² - 1)(71² - 1) = (4² - 1)(5² - 1)(29² - 1)(55² - 1)
= (4² - 1)(5² - 1)(7² - 1)(8² - 1)(29² - 1) = (4² - 1)(7² - 1)(8² - 1)(11² - 1)(13² - 1)
= (4² - 1)(11² - 1)(13² - 1)(55² - 1) = (5² - 1)(6² - 1)(19² - 1)(55² - 1)
= (5² - 1)(6² - 1)(7² - 1)(8² - 1)(19² - 1) = (5² - 1)(8² - 1)(11² - 1)(71² - 1)
= (5² - 1)(8² - 1)(19² - 1)(41² - 1) = (7² - 1)(8² - 1)(19² - 1)(29² - 1) = (19² - 1)(29² - 1)(55² - 1).

Page of Squares : First Upload May 12, 2012 ; Last Revised February 19, 2014
by Yoshio Mimura, Kobe, Japan

30243

30243² = (1² + 8)(3² + 8)(2445² + 8).

Page of Squares : First Upload February 19, 2014 ; Last Revised February 19, 2014
by Yoshio Mimura, Kobe, Japan

30252

30252² = (3² + 3)(8733² + 3).

Page of Squares : First Upload February 19, 2014 ; Last Revised February 19, 2014
by Yoshio Mimura, Kobe, Japan

30255

30255²± 2 are primes.

Page of Squares : First Upload February 19, 2014 ; Last Revised February 19, 2014
by Yoshio Mimura, Kobe, Japan

30260

30260² = (1² + 1)(3² + 1)(55² + 1)(123² + 1).

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

30263

30263² = 915849169, 915849 = 957² and 169 = 13².

Page of Squares : First Upload May 12, 2012 ; Last Revised May 12, 2012
by Yoshio Mimura, Kobe, Japan

30264

30264² = (3² + 3)(71² + 3)(123² + 3).

Page of Squares : First Upload February 19, 2014 ; Last Revised February 19, 2014
by Yoshio Mimura, Kobe, Japan

30272

30272² = (1² + 7)(2² + 7)(3² + 7)(6² + 7)(123² + 7) = (1² + 7)(2² + 7)(6² + 7)(13² + 7)(37² + 7)
= (1² + 7)(6² + 7)(13² + 7)(123² + 7) = (2² + 7)(3² + 7)(6² + 7)(9² + 7)(37² + 7)
= (2² + 7)(6² + 7)(11² + 7)(123² + 7) = (3² + 7)(6² + 7)(31² + 7)(37² + 7)
= (3² + 7)(6² + 7)(9² + 7)(123² + 7) = (6² + 7)(9² + 7)(13² + 7)(37² + 7).

Page of Squares : First Upload February 19, 2014 ; Last Revised February 19, 2014
by Yoshio Mimura, Kobe, Japan

30276

30276 = 174² is a square with different digits.

Page of Squares : First Upload May 12, 2012 ; Last Revised May 12, 2012
by Yoshio Mimura, Kobe, Japan

30282

30282² = (2² + 3)(10² + 3)(12² + 3)(93² + 3) = (3² + 5)(17² + 5)(472² + 5).

Page of Squares : First Upload February 19, 2014 ; Last Revised February 19, 2014
by Yoshio Mimura, Kobe, Japan

30290

30290² = (3² + 4)(16² + 4)(521² + 4).

Page of Squares : First Upload February 19, 2014 ; Last Revised February 19, 2014
by Yoshio Mimura, Kobe, Japan

30294

30294² = (1² + 2)(2² + 2)(10² + 2)(707² + 2) = (1² + 2)(2² + 2)(3² + 2)(5² + 2)(10² + 2)(41² + 2)
= (1² + 2)(2² + 2)(3² + 2)(5² + 2)(7² + 2)(58² + 2) = (1² + 2)(2² + 2)(3² + 2)(8² + 2)(265² + 2)
= (1² + 2)(2² + 2)(5² + 2)(7² + 2)(10² + 2)(19² + 2)
= (1² + 2)(3² + 2)(5² + 2)(7² + 2)(10² + 2)(14² + 2) = (1² + 2)(4² + 2)(7² + 2)(14² + 2)(41² + 2)
= (1² + 2)(5² + 2)(24² + 2)(140² + 2) = (1² + 2)(5² + 2)(7² + 2)(8² + 2)(58² + 2)
= (1² + 2)(5² + 2)(8² + 2)(10² + 2)(41² + 2) = (2² + 2)(3² + 2)(14² + 2)(265² + 2)
= (2² + 2)(5² + 2)(41² + 2)(58² + 2) = (2² + 2)(5² + 2)(7² + 2)(8² + 2)(41² + 2)
= (3² + 2)(4² + 2)(5² + 2)(10² + 2)(41² + 2) = (3² + 2)(4² + 2)(5² + 2)(7² + 2)(58² + 2)
= (3² + 2)(4² + 2)(8² + 2)(265² + 2) = (3² + 2)(7² + 2)(22² + 2)(58² + 2)
= (3² + 2)(10² + 2)(22² + 2)(41² + 2) = (4² + 2)(5² + 2)(7² + 2)(10² + 2)(19² + 2)
= (4² + 2)(10² + 2)(707² + 2) = (5² + 2)(10² + 2)(14² + 2)(41² + 2)
= (5² + 2)(7² + 2)(14² + 2)(58² + 2) = (7² + 2)(10² + 2)(19² + 2)(22² + 2)
= (8² + 2)(14² + 2)(265² + 2).

Page of Squares : First Upload February 19, 2014 ; Last Revised February 19, 2014
by Yoshio Mimura, Kobe, Japan

30315

30315²± 2 are primes.

Page of Squares : First Upload February 19, 2014 ; Last Revised February 19, 2014
by Yoshio Mimura, Kobe, Japan

30334

30334²± 3 are primes.

Page of Squares : First Upload February 19, 2014 ; Last Revised February 19, 2014
by Yoshio Mimura, Kobe, Japan

30335

30335² = 920212225 is a square pegged by 2.

Page of Squares : First Upload May 12, 2012 ; Last Revised May 12, 2012
by Yoshio Mimura, Kobe, Japan

30360

30360²= (3² - 1)(10² - 1)(24² - 1)(45² - 1).

30360²= 1439 x 1440 + 1440 x 1441 + 1441 x 1442 + ... + 1790 x 1791.

Page of Squares : First Upload May 12, 2012 ; Last Revised February 19, 2014
by Yoshio Mimura, Kobe, Japan

30362

30362² = 1919 x 1920 + 1921 x 1922 + 1923 x 1924 + 1925 x 1926 + ... + 2325 x 2326.

Page of Squares : First Upload May 12, 2012 ; Last Revised May 12, 2012
by Yoshio Mimura, Kobe, Japan

30366

30366²± 5 are primes.

Page of Squares : First Upload February 19, 2014 ; Last Revised February 19, 2014
by Yoshio Mimura, Kobe, Japan

30384

30384² = 923187456 is a square with different digits.

Page of Squares : First Upload May 12, 2012 ; Last Revised May 12, 2012
by Yoshio Mimura, Kobe, Japan

30393

30393²± 2 are primes.

Page of Squares : First Upload February 19, 2014 ; Last Revised February 19, 2014
by Yoshio Mimura, Kobe, Japan

30408

30408² = (1² + 3)(2² + 3)(9² + 3)(627² + 3) = (2² + 3)(3² + 3)(5² + 3)(627² + 3)
= (5² + 3)(9² + 3)(627² + 3).

Page of Squares : First Upload February 19, 2014 ; Last Revised February 19, 2014
by Yoshio Mimura, Kobe, Japan

30420

30420² = (1² + 9)(2² + 9)(3² + 9)(15² + 9)(41² + 9) = (3² + 9)(11² + 9)(15² + 9)(41² + 9).

Page of Squares : First Upload February 19, 2014 ; Last Revised February 19, 2014
by Yoshio Mimura, Kobe, Japan

30429

30429² = (2² + 5)(8² + 5)(32² + 5)(38² + 5).

Page of Squares : First Upload February 19, 2014 ; Last Revised February 19, 2014
by Yoshio Mimura, Kobe, Japan

30435

30435²± 2 are primes.

Page of Squares : First Upload February 19, 2014 ; Last Revised February 19, 2014
by Yoshio Mimura, Kobe, Japan

30438

30438² = (1² + 2)(6² + 2)(13² + 2)(218² + 2).

Page of Squares : First Upload February 19, 2014 ; Last Revised February 19, 2014
by Yoshio Mimura, Kobe, Japan

30442

30442² = 462² + 463² + 464² + ... + 1422².

Page of Squares : First Upload May 12, 2012 ; Last Revised May 12, 2012
by Yoshio Mimura, Kobe, Japan

30450

30450² = (1² + 6)(3² + 6)(38² + 6)(78² + 6) = (1² + 6)(3² + 6)(8² + 6)(9² + 6)(38² + 6)
= (2² + 6)(3² + 6)(9² + 6)(13² + 6)(20² + 6) = (2² + 6)(9² + 6)(13² + 6)(78² + 6)
= (2² + 6)(9² + 6)(27² + 6)(38² + 6) = (3² + 6)(9² + 6)(22² + 6)(38² + 6)
= (6² + 6)(9² + 6)(13² + 6)(38² + 6) = (9² + 6)(12² + 6)(13² + 6)(20² + 6)
= (9² + 6)(20² + 6)(162² + 6).

Page of Squares : First Upload February 19, 2014 ; Last Revised February 19, 2014
by Yoshio Mimura, Kobe, Japan

30452

30452² = (4² + 7)(18² + 7)(349² + 7).

Page of Squares : First Upload February 19, 2014 ; Last Revised February 19, 2014
by Yoshio Mimura, Kobe, Japan

30462

30462²± 5 are primes.

Page of Squares : First Upload February 19, 2014 ; Last Revised February 19, 2014
by Yoshio Mimura, Kobe, Japan

30488

30488²± 3 are primes.

Page of Squares : First Upload February 19, 2014 ; Last Revised February 19, 2014
by Yoshio Mimura, Kobe, Japan

30496

30496²± 3 are primes.

Page of Squares : First Upload February 19, 2014 ; Last Revised February 19, 2014
by Yoshio Mimura, Kobe, Japan

30500

30500² = 930250000, 9 = 3² and 30250000 = 5500².

Page of Squares : First Upload May 12, 2012 ; Last Revised May 12, 2012
by Yoshio Mimura, Kobe, Japan

30503

30503² = 9192² + 9193² + 9194² + ... + 9202².

Page of Squares : First Upload May 12, 2012 ; Last Revised May 12, 2012
by Yoshio Mimura, Kobe, Japan

30506

30506²± 3 are primes.

Page of Squares : First Upload February 19, 2014 ; Last Revised February 19, 2014
by Yoshio Mimura, Kobe, Japan

30512

30512²± 3 are primes.

Page of Squares : First Upload February 19, 2014 ; Last Revised February 19, 2014
by Yoshio Mimura, Kobe, Japan

30576

30576² = (1² + 3)(2² + 3)(3² + 3)(37² + 3)(45² + 3)
= (1² + 3)(2² + 3)(3² + 3)(6² + 3)(7² + 3)(37² + 3)
= (1² + 3)(2² + 3)(3² + 3)(7² + 3)(12² + 3)(19² + 3)
= (1² + 3)(2² + 3)(5² + 3)(6² + 3)(9² + 3)(19² + 3) = (1² + 3)(2² + 3)(9² + 3)(19² + 3)(33² + 3)
= (1² + 3)(3² + 3)(6² + 3)(19² + 3)(37² + 3) = (1² + 3)(5² + 3)(7² + 3)(12² + 3)(33² + 3)
= (1² + 3)(6² + 3)(7² + 3)(9² + 3)(37² + 3) = (1² + 3)(7² + 3)(9² + 3)(12² + 3)(19² + 3)
= (1² + 3)(9² + 3)(37² + 3)(45² + 3) = (2² + 3)(3² + 3)(5² + 3)(19² + 3)(33² + 3)
= (2² + 3)(5² + 3)(7² + 3)(9² + 3)(33² + 3) = (3² + 3)(5² + 3)(37² + 3)(45² + 3)
= (3² + 3)(5² + 3)(6² + 3)(7² + 3)(37² + 3) = (3² + 3)(5² + 3)(7² + 3)(12² + 3)(19² + 3)
= (3² + 3)(7² + 3)(33² + 3)(37² + 3) = (5² + 3)(9² + 3)(19² + 3)(33² + 3).

Page of Squares : First Upload February 19, 2014 ; Last Revised February 19, 2014
by Yoshio Mimura, Kobe, Japan

30600

30600² = (2² - 1)(3² - 1)(4² - 1)(16² - 1)(101² - 1) = (2² - 1)(11² - 1)(16² - 1)(101² - 1)
= (4² - 1)(5² - 1)(16² - 1)(101² - 1) = (16² - 1)(19² - 1)(101² - 1).

Page of Squares : First Upload February 19, 2014 ; Last Revised February 19, 2014
by Yoshio Mimura, Kobe, Japan

30612

30612²± 5 are primes.

(30612² - 8) = (3² - 8)(4² - 8)(5² - 8)(11² - 8)(15² - 8)(17² - 8).

Page of Squares : First Upload May 12, 2012 ; Last Revised February 19, 2014
by Yoshio Mimura, Kobe, Japan

30625

30625 = 175² is a zigzag square with different digits.

Page of Squares : First Upload May 12, 2012 ; Last Revised May 12, 2012
by Yoshio Mimura, Kobe, Japan

30627

30627² = (1² + 2)(9² + 2)(11² + 2)(175² + 2).

Page of Squares : First Upload February 19, 2014 ; Last Revised February 19, 2014
by Yoshio Mimura, Kobe, Japan

30628

30628² = (1² + 3)(4² + 3)(20² + 3)(175² + 3) = (11² + 3)(20² + 3)(137² + 3)
= (4² + 3)(11² + 3)(631² + 3).

Page of Squares : First Upload February 19, 2014 ; Last Revised February 19, 2014
by Yoshio Mimura, Kobe, Japan

30646

30646² = 939177316, 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

30693

30693² = 942060249 is a palindromic square.

Page of Squares : First Upload May 12, 2012 ; Last Revised May 12, 2012
by Yoshio Mimura, Kobe, Japan

30720

208² + 30720 = 272², 208² - 30720 = 112².

Page of Squares : First Upload May 12, 2012 ; Last Revised May 12, 2012
by Yoshio Mimura, Kobe, Japan

30734

30734²± 3 are primes.

Page of Squares : First Upload February 19, 2014 ; Last Revised February 19, 2014
by Yoshio Mimura, Kobe, Japan

30750

30750² = (14² + 9)(27² + 9)(79² + 9).

30750² = 945562500, 9 = 3² and 45562500 = 6750².

Page of Squares : First Upload May 12, 2012 ; Last Revised February 19, 2014
by Yoshio Mimura, Kobe, Japan

30784

30784² = 96⁴ + 120⁴ + 160⁴.

Page of Squares : First Upload May 12, 2012 ; Last Revised May 12, 2012
by Yoshio Mimura, Kobe, Japan

30795

30795²± 2 are primes.

Page of Squares : First Upload February 19, 2014 ; Last Revised February 19, 2014
by Yoshio Mimura, Kobe, Japan

30807

30807² = (4² + 5)(22² + 5)(304² + 5).

Page of Squares : First Upload February 19, 2014 ; Last Revised February 19, 2014
by Yoshio Mimura, Kobe, Japan

30870

30870² = (3² + 5)(4² + 5)(5² + 5)(10² + 5)(32² + 5) = (3² + 5)(10² + 5)(25² + 5)(32² + 5)
= (5² + 5)(10² + 5)(17² + 5)(32² + 5).

Page of Squares : First Upload February 19, 2014 ; Last Revised February 19, 2014
by Yoshio Mimura, Kobe, Japan

30888

30888² = (2² - 1)(3² - 1)(10² - 1)(12² - 1)(53² - 1) = (5² - 1)(10² - 1)(12² - 1)(53² - 1).

Page of Squares : First Upload February 19, 2014 ; Last Revised February 19, 2014
by Yoshio Mimura, Kobe, Japan

30915

30915² = 1210² + 1211² + 1212² + ... + 1667².

Page of Squares : First Upload May 12, 2012 ; Last Revised May 12, 2012
by Yoshio Mimura, Kobe, Japan

30923

30923, 30924, 30925, 30926, 30927 and 30928 are six consecutive integers having square factors (the third case).

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

30940

30940²= 2295 x 2296 + 2296 x 2297 + 2297 x 2298 +...+ 2463 x 2464.

Page of Squares : First Upload May 12, 2012 ; Last Revised May 12, 2012
by Yoshio Mimura, Kobe, Japan

30944

30944² = 957531136, 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

30950

30950²± 3 are primes.

Page of Squares : First Upload February 19, 2014 ; Last Revised February 19, 2014
by Yoshio Mimura, Kobe, Japan

30953

30953² = 2211² + 2213² + 2215² + 2217² + ... + 2547².

Page of Squares : First Upload May 12, 2012 ; Last Revised May 12, 2012
by Yoshio Mimura, Kobe, Japan

30976

30976 = 176² is a square with different digits.

30976² = (1² + 7)(2² + 7)(9² + 7)(11² + 7)(31² + 7) = (2² + 7)(3² + 7)(31² + 7)(75² + 7)
= (2² + 7)(3² + 7)(5² + 7)(13² + 7)(31² + 7) = (2² + 7)(5² + 7)(31² + 7)(53² + 7)
= (2² + 7)(9² + 7)(13² + 7)(75² + 7) = (13² + 7)(31² + 7)(75² + 7).

Page of Squares : First Upload May 12, 2012 ; Last Revised February 19, 2014
by Yoshio Mimura, Kobe, Japan

30996

30996² = (1² + 5)(3² + 5)(6² + 5)(11² + 5)(47² + 5).

Page of Squares : First Upload February 19, 2014 ; Last Revised February 19, 2014
by Yoshio Mimura, Kobe, Japan