---

39026

39026²± 3 are primes.

Page of Squares : First Upload February 28, 2014 ; Last Revised February 28, 2014
by Yoshio Mimura, Kobe, Japan

---

39102

39102²± 5 are primes.

Page of Squares : First Upload February 28, 2014 ; Last Revised February 28, 2014
by Yoshio Mimura, Kobe, Japan

---

39116

39116² = (2² + 7)(35² + 7)(336² + 7).

Page of Squares : First Upload February 28, 2014 ; Last Revised February 28, 2014
by Yoshio Mimura, Kobe, Japan

---

39130

39130² = 379 x 380 + 381 x 382 + 383 x 384 + 385 x 386 + ... + 2097 x 2098.

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

---

39147

39147² = 1532487609, a square with different digits.

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

---

39150

39150² = (1² + 9)(6² + 9)(36² + 9)(51² + 9) = (3² + 9)(4² + 9)(6² + 9)(7² + 9)(36² + 9)
= (3² + 9)(4² + 9)(36² + 9)(51² + 9) = (4² + 9)(6² + 9)(9² + 9)(123² + 9)
= (6² + 9)(7² + 9)(21² + 9)(36² + 9) = (21² + 9)(36² + 9)(51² + 9).

Page of Squares : First Upload February 28, 2014 ; Last Revised February 28, 2014
by Yoshio Mimura, Kobe, Japan

---

39166

39166² = 1533975556, 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

---

39168

39168² = (2² - 1)(3² - 1)(7² - 1)(33² - 1)(35² - 1) = (5² - 1)(7² - 1)(33² - 1)(35² - 1).

Page of Squares : First Upload February 28, 2014 ; Last Revised February 28, 2014
by Yoshio Mimura, Kobe, Japan

---

39174

39174²± 5 are primes.

Page of Squares : First Upload February 28, 2014 ; Last Revised February 28, 2014
by Yoshio Mimura, Kobe, Japan

---

39177

39177²± 2 are primes.

Page of Squares : First Upload February 28, 2014 ; Last Revised February 28, 2014
by Yoshio Mimura, Kobe, Japan

---

39190

39190²± 3 are primes.

Page of Squares : First Upload February 28, 2014 ; Last Revised February 28, 2014
by Yoshio Mimura, Kobe, Japan

---

39200

39200²± 3 are primes.

Page of Squares : First Upload February 28, 2014 ; Last Revised February 28, 2014
by Yoshio Mimura, Kobe, Japan

---

39202

(39202² - 4) = (5² - 4)(8² - 4)(9² - 4)(10² - 4)(13² - 4)
= (3² - 4)(4² - 4)(5² - 4)(9² - 4)(10² - 4)(13² - 4).

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

---

39204

39204 = 198², a square with different digits.

39204² = (1² + 2)(2² + 2)(4² + 2)(8² + 2)(14² + 2)(19² + 2)
= (1² + 8)(2² + 8)(5² + 8)(17² + 8)(38² + 8) = (2² + 2)(3² + 2)(4² + 2)(8² + 2)(140² + 2)
= (2² + 2)(8² + 2)(14² + 2)(140² + 2) = (5² + 8)(10² + 8)(17² + 8)(38² + 8).

Page of Squares : First Upload July 14, 2012 ; Last Revised February 28, 2014
by Yoshio Mimura, Kobe, Japan

---

39208

39208² = (3² + 4)(5² + 4)(10² + 4)(198² + 4) = (82² + 4)(478² + 4).

Page of Squares : First Upload February 28, 2014 ; Last Revised February 28, 2014
by Yoshio Mimura, Kobe, Japan

---

39214

39214² = 1537737796, 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

---

39216

39216² = (1² + 3)(3² + 3)(4² + 3)(13² + 3)(99² + 3) = (1² + 3)(13² + 3)(15² + 3)(99² + 3).

Page of Squares : First Upload February 28, 2014 ; Last Revised February 28, 2014
by Yoshio Mimura, Kobe, Japan

---

39220

39220² = (4² + 4)(7² + 4)(12² + 4)(99² + 4).

Page of Squares : First Upload February 28, 2014 ; Last Revised February 28, 2014
by Yoshio Mimura, Kobe, Japan

---

39250

39250² = 1540562500, with 1 = 1² and 540562500 = 23250².

39250² = (1² + 1)(2² + 1)(28² + 1)(443² + 1) = (3² + 1)(28² + 1)(443² + 1).

Page of Squares : First Upload July 14, 2012 ; Last Revised November 9, 2013
by Yoshio Mimura, Kobe, Japan

---

39260

39260²± 3 are primes.

Page of Squares : First Upload February 28, 2014 ; Last Revised February 28, 2014
by Yoshio Mimura, Kobe, Japan

---

39274

39274²± 3 are primes.

Page of Squares : First Upload February 28, 2014 ; Last Revised February 28, 2014
by Yoshio Mimura, Kobe, Japan

---

39312

39312²± 5 are primes.

39312² = (27² - 1)(1457² - 1).

Page of Squares : First Upload February 28, 2014 ; Last Revised February 28, 2014
by Yoshio Mimura, Kobe, Japan

---

39317

the sum of (13x + 5)² = 1248665², where 13x + 5 <= 39317.

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

---

39336

39336² = 1547320896, a square with different digits.

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

---

39338

39338² = (21² + 1)(34² + 1)(55² + 1) = (4² + 1)(5² + 1)(34² + 1)(55² + 1).

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

---

39358

39358² = 4152² + 4153² + 4154² + ... + 4239².

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

---

39368

39368² = (1² + 3)(4² + 3)(5² + 3)(16² + 3)(53² + 3) = (1² + 3)(16² + 3)(23² + 3)(53² + 3).

Page of Squares : First Upload February 28, 2014 ; Last Revised February 28, 2014
by Yoshio Mimura, Kobe, Japan

---

39376

39376²± 3 are primes.

Page of Squares : First Upload February 28, 2014 ; Last Revised February 28, 2014
by Yoshio Mimura, Kobe, Japan

---

39380

39380² = 1921² + 1922² + 1923² + ... + 2272².

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

---

39388

39388² = 1551414544, a square with 3 kinds of digits 1,4,5.

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

---

39396

39396² = (1² + 3)(2² + 3)(8² + 3)(12² + 3)(75² + 3) = (1² + 5)(3² + 5)(53² + 5)(81² + 5)
= (5² + 3)(8² + 3)(12² + 3)(75² + 3).

Page of Squares : First Upload February 28, 2014 ; Last Revised February 28, 2014
by Yoshio Mimura, Kobe, Japan

---

39400

39400² = (1² + 4)(6² + 4)(2786² + 4) = (14² + 4)(2786² + 4).

Page of Squares : First Upload February 28, 2014 ; Last Revised February 28, 2014
by Yoshio Mimura, Kobe, Japan

---

39423

39423²± 2 are primes.

Page of Squares : First Upload February 28, 2014 ; Last Revised February 28, 2014
by Yoshio Mimura, Kobe, Japan

---

39424

39424² = (1² + 7)(2² + 7)(5² + 7)(21² + 7)(35² + 7) = (1² + 7)(3² + 7)(7² + 7)(13² + 7)(35² + 7)
= (1² + 7)(5² + 7)(7² + 7)(9² + 7)(35² + 7) = (1² + 7)(7² + 7)(35² + 7)(53² + 7)
= (2² + 7)(3² + 7)(7² + 7)(11² + 7)(35² + 7) = (2² + 7)(5² + 7)(7² + 7)(13² + 7)(21² + 7)
= (2² + 7)(7² + 7)(21² + 7)(75² + 7) = (3² + 7)(13² + 7)(21² + 7)(35² + 7)
= (5² + 7)(9² + 7)(21² + 7)(35² + 7) = (7² + 7)(11² + 7)(13² + 7)(35² + 7)
= (21² + 7)(35² + 7)(53² + 7).

Page of Squares : First Upload February 28, 2014 ; Last Revised February 28, 2014
by Yoshio Mimura, Kobe, Japan

---

39440

39440² = (1² + 4)(2² + 4)(8² + 4)(9² + 4)(82² + 4) = (1² + 4)(2² + 4)(76² + 4)(82² + 4)
= (1² + 4)(8² + 4)(26² + 4)(82² + 4) = (2² + 4)(5² + 4)(8² + 4)(9² + 4)(34² + 4)
= (2² + 4)(5² + 4)(8² + 4)(314² + 4) = (2² + 4)(5² + 4)(34² + 4)(76² + 4)
= (5² + 4)(8² + 4)(26² + 4)(34² + 4) = (6² + 4)(8² + 4)(9² + 4)(82² + 4)
= (6² + 4)(76² + 4)(82² + 4).

Page of Squares : First Upload February 28, 2014 ; Last Revised February 28, 2014
by Yoshio Mimura, Kobe, Japan

---

39442

39442²± 3 are primes.

Page of Squares : First Upload February 28, 2014 ; Last Revised February 28, 2014
by Yoshio Mimura, Kobe, Japan

---

39474

39474²± 5 are primes.

39474² = (1² + 2)(5² + 2)(10² + 2)(16² + 2)(27² + 2) = (1² + 2)(16² + 2)(24² + 2)(59² + 2)
= (2² + 2)(5² + 2)(7² + 2)(16² + 2)(27² + 2) = (2² + 2)(10² + 2)(27² + 2)(59² + 2).

Page of Squares : First Upload February 28, 2014 ; Last Revised February 28, 2014
by Yoshio Mimura, Kobe, Japan

---

39491

39491² = 2029² + 2031² + 2033² + 2035² + ... + 2605².

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

---

39501

39501² = (10² - 1)(3970² - 1).

Page of Squares : First Upload February 28, 2014 ; Last Revised February 28, 2014
by Yoshio Mimura, Kobe, Japan

---

39508

39508²± 3 are primes.

Page of Squares : First Upload February 28, 2014 ; Last Revised February 28, 2014
by Yoshio Mimura, Kobe, Japan

---

39512

39512²± 3 are primes.

Page of Squares : First Upload February 28, 2014 ; Last Revised February 28, 2014
by Yoshio Mimura, Kobe, Japan

---

39546

39546² = (2² + 9)(15² + 9)(717² + 9).

Page of Squares : First Upload February 28, 2014 ; Last Revised February 28, 2014
by Yoshio Mimura, Kobe, Japan

---

39560

39560²± 3 are primes.

Page of Squares : First Upload February 28, 2014 ; Last Revised February 28, 2014
by Yoshio Mimura, Kobe, Japan

---

39581

39581² = 1566655561, a square with 3 kinds of digits 1,5,6.

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

---

39600

39600² = (4² - 1)(10² - 1)(21² - 1)(49² - 1).

Page of Squares : First Upload February 28, 2014 ; Last Revised February 28, 2014
by Yoshio Mimura, Kobe, Japan

---

39601

39601 = 199², a square with different digits.

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

---

39606

39606² = (3² + 5)(6² + 5)(8² + 5)(199² + 5) = (6² + 5)(31² + 5)(199² + 5).

Page of Squares : First Upload February 28, 2014 ; Last Revised February 28, 2014
by Yoshio Mimura, Kobe, Japan

---

39610

39610² = (5² + 9)(34² + 9)(199² + 9) = (8² + 4)(9² + 4)(521² + 4) = (76² + 4)(521² + 4).

Page of Squares : First Upload February 28, 2014 ; Last Revised February 28, 2014
by Yoshio Mimura, Kobe, Japan

---

39624

39624² = (3² + 3)(39² + 3)(293² + 3).

Page of Squares : First Upload February 28, 2014 ; Last Revised February 28, 2014
by Yoshio Mimura, Kobe, Japan

---

39634

39634²± 3 are primes.

Page of Squares : First Upload February 28, 2014 ; Last Revised February 28, 2014
by Yoshio Mimura, Kobe, Japan

---

39640

39640²± 3 are primes.

Page of Squares : First Upload February 28, 2014 ; Last Revised February 28, 2014
by Yoshio Mimura, Kobe, Japan

---

39650

39650² = (1² + 1)(5² + 1)(8² + 1)(682² + 1) = (29² + 4)(1364² + 4)
= (1² + 9)(4² + 9)(28² + 9)(89² + 9).

Page of Squares : First Upload November 9, 2013 ; Last Revised February 28, 2014
by Yoshio Mimura, Kobe, Japan

---

39662

39662²± 3 are primes.

Page of Squares : First Upload February 28, 2014 ; Last Revised February 28, 2014
by Yoshio Mimura, Kobe, Japan

---

39666

39666² = 1573391556, 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

---

39690

39690² = (1² + 5)(2² + 5)(4² + 5)(10² + 5)(115² + 5) = (1² + 5)(4² + 5)(5² + 5)(20² + 5)(32² + 5)
= (1² + 5)(4² + 5)(10² + 5)(17² + 5)(20² + 5) = (1² + 5)(20² + 5)(25² + 5)(32² + 5)
= (2² + 5)(3² + 5)(5² + 5)(20² + 5)(32² + 5) = (2² + 5)(3² + 5)(10² + 5)(17² + 5)(20² + 5)
= (2² + 5)(4² + 5)(10² + 5)(11² + 5)(25² + 5) = (2² + 5)(4² + 5)(25² + 5)(115² + 5)
= (2² + 5)(5² + 5)(7² + 5)(10² + 5)(32² + 5) = (2² + 5)(10² + 5)(11² + 5)(115² + 5)
= (3² + 5)(4² + 5)(10² + 5)(11² + 5)(20² + 5) = (3² + 5)(4² + 5)(20² + 5)(115² + 5)
= (4² + 5)(7² + 5)(10² + 5)(115² + 5) = (4² + 5)(17² + 5)(20² + 5)(25² + 5)
= (5² + 5)(11² + 5)(20² + 5)(32² + 5) = (10² + 5)(11² + 5)(17² + 5)(20² + 5)
= (17² + 5)(20² + 5)(115² + 5).

Page of Squares : First Upload February 28, 2014 ; Last Revised February 28, 2014
by Yoshio Mimura, Kobe, Japan

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39710

39710²± 3 are primes.

Page of Squares : First Upload February 28, 2014 ; Last Revised February 28, 2014
by Yoshio Mimura, Kobe, Japan

---

39717

39717²± 2 are primes.

Page of Squares : First Upload February 28, 2014 ; Last Revised February 28, 2014
by Yoshio Mimura, Kobe, Japan

---

39732

39732² = 897² + 898² + 899² + ... + 1760².

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

---

39750

39750² = (3² + 6)(12² + 6)(838² + 6).

Page of Squares : First Upload February 28, 2014 ; Last Revised February 28, 2014
by Yoshio Mimura, Kobe, Japan

---

39776

39776² = (2² + 7)(85² + 7)(141² + 7).

Page of Squares : First Upload February 28, 2014 ; Last Revised February 28, 2014
by Yoshio Mimura, Kobe, Japan

---

39780

39780² = (1² + 9)(2² + 9)(3² + 9)(5² + 9)(11² + 9)(12² + 9)
= (1² + 9)(2² + 9)(3² + 9)(5² + 9)(141² + 9) = (1² + 9)(2² + 9)(5² + 9)(9² + 9)(63² + 9)
= (1² + 9)(2² + 9)(5² + 9)(15² + 9)(39² + 9) = (1² + 9)(3² + 9)(5² + 9)(12² + 9)(41² + 9)
= (1² + 9)(5² + 9)(11² + 9)(12² + 9)(15² + 9) = (1² + 9)(5² + 9)(15² + 9)(141² + 9)
= (2² + 9)(3² + 9)(5² + 9)(11² + 9)(39² + 9) = (2² + 9)(3² + 9)(5² + 9)(15² + 9)(29² + 9)
= (2² - 1)(14² - 1)(16² - 1)(103² - 1) = (3² + 9)(5² + 9)(11² + 9)(141² + 9)
= (3² + 9)(5² + 9)(39² + 9)(41² + 9) = (5² + 9)(9² + 9)(11² + 9)(63² + 9)
= (5² + 9)(11² + 9)(15² + 9)(39² + 9).

Page of Squares : First Upload February 28, 2014 ; Last Revised February 28, 2014
by Yoshio Mimura, Kobe, Japan

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39785

39785² = (8² + 9)(10² + 9)(446² + 9).

Page of Squares : First Upload February 28, 2014 ; Last Revised February 28, 2014
by Yoshio Mimura, Kobe, Japan

---

39798

39798² = (2² + 2)(3² + 2)(5² + 2)(20² + 2)(47² + 2) = (5² + 2)(8² + 2)(20² + 2)(47² + 2)
= (5² + 2)(20² + 2)(382² + 2).

Page of Squares : First Upload February 28, 2014 ; Last Revised February 28, 2014
by Yoshio Mimura, Kobe, Japan

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39822

39822²± 5 are primes.

Page of Squares : First Upload February 28, 2014 ; Last Revised February 28, 2014
by Yoshio Mimura, Kobe, Japan

---

39845

39845² = 1587624025, with 15876² = 126 and 24025 = 155².

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

---

39894

39894²± 5 are primes.

Page of Squares : First Upload February 28, 2014 ; Last Revised February 28, 2014
by Yoshio Mimura, Kobe, Japan

---

39920

39920²± 3 are primes.

Page of Squares : First Upload February 28, 2014 ; Last Revised February 28, 2014
by Yoshio Mimura, Kobe, Japan

---

39925

39925² = (11² + 4)(3571² + 4).

Page of Squares : First Upload February 28, 2014 ; Last Revised February 28, 2014
by Yoshio Mimura, Kobe, Japan

---