---

93003

93003² = 8649558009, and 8649 = 93², 558009 = 747².

Page of Squares : First Upload December 22, 2012 ; Last Revised December 22, 2012
by Yoshio Mimura, Kobe, Japan

---

93008

93008² = 4553 x 4554 + 4554 x 4555 + 4555 x 4556 + ... + 4936 x 4937.

Page of Squares : First Upload December 22, 2012 ; Last Revised December 22, 2012
by Yoshio Mimura, Kobe, Japan

---

93024

650² + 93024 = 718², 650² - 93024 = 574².

93024² = (2² + 8)(3² + 8)(4² + 8)(7² + 8)(12² + 8)(14² + 8)
= (2² + 8)(3² + 8)(12² + 8)(20² + 8)(26² + 8) = (2² + 8)(4² + 8)(12² + 8)(14² + 8)(31² + 8)
= (2² + 8)(7² + 8)(12² + 8)(14² + 8)(20² + 8) = (3² + 8)(4² + 8)(12² + 8)(14² + 8)(26² + 8)
= (12² + 8)(14² + 8)(20² + 8)(26² + 8) = (17² - 1)(18² - 1)(305² - 1).

Page of Squares : First Upload December 22, 2012 ; Last Revised April 13, 2014
by Yoshio Mimura, Kobe, Japan

---

93025

93025 = 305², a square with different digits.

93025 = 305², and 9 = 3², 3025 = 55².

Page of Squares : First Upload December 22, 2012 ; Last Revised December 22, 2012
by Yoshio Mimura, Kobe, Japan

---

93062

93062²± 3 are primes.

Page of Squares : First Upload April 13, 2014 ; Last Revised April 13, 2014
by Yoshio Mimura, Kobe, Japan

---

93114

93114²± 5 are primes.

Page of Squares : First Upload April 13, 2014 ; Last Revised April 13, 2014
by Yoshio Mimura, Kobe, Japan

---

93126

93126²± 5 are primes.

93126² = (1² + 2)(3² + 2)(9² + 2)(24² + 2)(74² + 2).

Page of Squares : First Upload April 13, 2014 ; Last Revised April 13, 2014
by Yoshio Mimura, Kobe, Japan

---

93170

93170² = (4² + 6)(7² + 6)(29² + 6)(92² + 6).

Page of Squares : First Upload April 13, 2014 ; Last Revised April 13, 2014
by Yoshio Mimura, Kobe, Japan

---

93200

93200² = (1² + 4)(2² + 4)(4² + 4)(6² + 4)(521² + 4) = (2² + 4)(4² + 4)(14² + 4)(521² + 4).

Page of Squares : First Upload April 13, 2014 ; Last Revised April 13, 2014
by Yoshio Mimura, Kobe, Japan

---

93223

93223² = 197² + 198² + 199² + ... + 2965².

Page of Squares : First Upload December 22, 2012 ; Last Revised December 22, 2012
by Yoshio Mimura, Kobe, Japan

---

93240

93240² = (36² - 1)(2591² - 1).

Page of Squares : First Upload April 13, 2014 ; Last Revised April 13, 2014
by Yoshio Mimura, Kobe, Japan

---

93291

93291²± 2 are primes.

Page of Squares : First Upload April 13, 2014 ; Last Revised April 13, 2014
by Yoshio Mimura, Kobe, Japan

---

93324

93324² = (4² + 6)(6² + 6)(14² + 6)(216² + 6).

Page of Squares : First Upload April 13, 2014 ; Last Revised April 13, 2014
by Yoshio Mimura, Kobe, Japan

---

93353

93353² = 818² + 819² + 820² + ... + 2988².

Page of Squares : First Upload December 22, 2012 ; Last Revised December 22, 2012
by Yoshio Mimura, Kobe, Japan

---

93354

93354²± 5 are primes.

Page of Squares : First Upload April 13, 2014 ; Last Revised April 13, 2014
by Yoshio Mimura, Kobe, Japan

---

93380

93380²± 3 are primes.

Page of Squares : First Upload April 13, 2014 ; Last Revised April 13, 2014
by Yoshio Mimura, Kobe, Japan

---

93416

93416²± 3 are primes.

Page of Squares : First Upload April 13, 2014 ; Last Revised April 13, 2014
by Yoshio Mimura, Kobe, Japan

---

93435

93435²± 2 are primes.

Page of Squares : First Upload April 13, 2014 ; Last Revised April 13, 2014
by Yoshio Mimura, Kobe, Japan

---

93456

93456² = (1² + 8)(4² + 8)(6² + 8)(13² + 8)(72² + 8) = (2² + 8)(4² + 8)(5² + 8)(13² + 8)(72² + 8)
= (2² + 8)(13² + 8)(28² + 8)(72² + 8) = (4² + 8)(5² + 8)(46² + 8)(72² + 8)
= (28² + 8)(46² + 8)(72² + 8).

Page of Squares : First Upload April 13, 2014 ; Last Revised April 13, 2014
by Yoshio Mimura, Kobe, Japan

---

93474

93474² = (5² + 2)(22² + 2)(816² + 2).

Page of Squares : First Upload April 13, 2014 ; Last Revised April 13, 2014
by Yoshio Mimura, Kobe, Japan

---

93492

93492²± 5 are primes.

Page of Squares : First Upload April 13, 2014 ; Last Revised April 13, 2014
by Yoshio Mimura, Kobe, Japan

---

93525

93525² = 47² + 49² + 51² + 53² + ... + 3743².

Page of Squares : First Upload December 22, 2012 ; Last Revised December 22, 2012
by Yoshio Mimura, Kobe, Japan

---

93536

93536² = (3² + 7)(17² + 7)(25² + 7)(54² + 7).

Page of Squares : First Upload April 13, 2014 ; Last Revised April 13, 2014
by Yoshio Mimura, Kobe, Japan

---

93556

93556²± 3 are primes.

Page of Squares : First Upload April 13, 2014 ; Last Revised April 13, 2014
by Yoshio Mimura, Kobe, Japan

---

93562

93562²± 3 are primes.

Page of Squares : First Upload April 13, 2014 ; Last Revised April 13, 2014
by Yoshio Mimura, Kobe, Japan

---

93567

93567²± 2 are primes.

Page of Squares : First Upload April 13, 2014 ; Last Revised April 13, 2014
by Yoshio Mimura, Kobe, Japan

---

93600

10⁵ + 93600 = 440², 10⁵ - 93600 = 80².

93600² = (2² - 1)(3² - 1)(4² - 1)(7² - 1)(14² - 1)(51² - 1)
= (2² - 1)(4² - 1)(11² - 1)(25² - 1)(51² - 1) = (2² - 1)(7² - 1)(11² - 1)(14² - 1)(51² - 1)
= (2² - 1)(14² - 1)(49² - 1)(79² - 1) = (3² - 1)(25² - 1)(26² - 1)(51² - 1) = (3² - 1)(51² - 1)(649² - 1)
= (4² - 1)(5² - 1)(7² - 1)(14² - 1)(51² - 1) = (4² - 1)(9² - 1)(51² - 1)(53² - 1)
= (4² - 1)(19² - 1)(25² - 1)(51² - 1) = (7² - 1)(14² - 1)(19² - 1)(51² - 1).

Page of Squares : First Upload December 22, 2012 ; Last Revised April 13, 2014
by Yoshio Mimura, Kobe, Japan

---

93636

93636 = 306², a zigzag square pegged by 3.

93636² = (1² + 8)(3² + 8)(14² + 8)(530² + 8) = (2² + 2)(4² + 2)(5² + 2)(7² + 2)(10² + 2)(24² + 2)
= (2² + 2)(7² + 2)(10² + 2)(22² + 2)(24² + 2).

Page of Squares : First Upload December 22, 2012 ; Last Revised December 22, 2012
by Yoshio Mimura, Kobe, Japan

---

93637

93637² = 8767887769, 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

---

93654

93654² = (2² + 2)(3² + 2)(102² + 2)(113² + 2) = (8² + 2)(102² + 2)(113² + 2).

Page of Squares : First Upload April 13, 2014 ; Last Revised April 13, 2014
by Yoshio Mimura, Kobe, Japan

---

93708

93708² = (2² + 8)(7² + 8)(35² + 8)(102² + 8) = (26² + 8)(35² + 8)(102² + 8).

Page of Squares : First Upload April 13, 2014 ; Last Revised April 13, 2014
by Yoshio Mimura, Kobe, Japan

---

93744

93744² = (2² - 1)(125² - 1)(433² - 1).

Page of Squares : First Upload April 13, 2014 ; Last Revised April 13, 2014
by Yoshio Mimura, Kobe, Japan

---

93756

93756² = (3² + 3)(49² + 3)(552² + 3).

Page of Squares : First Upload April 13, 2014 ; Last Revised April 13, 2014
by Yoshio Mimura, Kobe, Japan

---

93786

93786² = (1² + 6)(4² + 6)(6² + 6)(9² + 6)(125² + 6) = (1² + 6)(6² + 6)(9² + 6)(20² + 6)(29² + 6).

Page of Squares : First Upload April 13, 2014 ; Last Revised April 13, 2014
by Yoshio Mimura, Kobe, Japan

---

93794

93794² = 973² + 974² + 975² + ... + 3011².

Page of Squares : First Upload December 22, 2012 ; Last Revised December 22, 2012
by Yoshio Mimura, Kobe, Japan

---

93822

93822²± 5 are primes.

Page of Squares : First Upload April 13, 2014 ; Last Revised April 13, 2014
by Yoshio Mimura, Kobe, Japan

---

93832

93832² = 8804444224, a square with even digits.

Page of Squares : First Upload December 22, 2012 ; Last Revised December 22, 2012
by Yoshio Mimura, Kobe, Japan

---

93840

409² + 93840 = 511², 409² - 93840 = 271².

Page of Squares : First Upload December 22, 2012 ; Last Revised December 22, 2012
by Yoshio Mimura, Kobe, Japan

---

93870

93870² = (5² + 5)(10² + 5)(12² + 5)(137² + 5).

Page of Squares : First Upload April 13, 2014 ; Last Revised April 13, 2014
by Yoshio Mimura, Kobe, Japan

---

93903

93903²± 2 are primes.

Page of Squares : First Upload April 13, 2014 ; Last Revised April 13, 2014
by Yoshio Mimura, Kobe, Japan

---

93904

93904²± 3 are primes.

Page of Squares : First Upload April 13, 2014 ; Last Revised April 13, 2014
by Yoshio Mimura, Kobe, Japan

---

93912

93912² = (1² + 3)(2² + 3)(6² + 3)(7² + 3)(13² + 3)(30² + 3)
= (1² + 3)(2² + 3)(13² + 3)(30² + 3)(45² + 3) = (1² + 3)(6² + 3)(13² + 3)(19² + 3)(30² + 3)
= (3² + 3)(6² + 3)(13² + 3)(331² + 3) = (5² + 3)(6² + 3)(7² + 3)(13² + 3)(30² + 3)
= (5² + 3)(13² + 3)(30² + 3)(45² + 3) = (6² + 3)(7² + 3)(13² + 3)(159² + 3)
= (7² + 3)(13² + 3)(30² + 3)(33² + 3) = (13² + 3)(45² + 3)(159² + 3).

Page of Squares : First Upload April 13, 2014 ; Last Revised April 13, 2014
by Yoshio Mimura, Kobe, Japan

---

93925

93925² = (2² + 1)(4² + 1)(38² + 1)(268² + 1).

Page of Squares : First Upload November 16, 2013 ; Last Revised November 16, 2013
by Yoshio Mimura, Kobe, Japan

---

93990

93990² = (2² + 9)(49² + 9)(531² + 9).

Page of Squares : First Upload April 13, 2014 ; Last Revised April 13, 2014
by Yoshio Mimura, Kobe, Japan

---