---

77044

77044² = 5935777936, 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

---

77048

77048²± 3 are primes.

Page of Squares : First Upload April 2, 2014 ; Last Revised April 2, 2014
by Yoshio Mimura, Kobe, Japan

---

77056

77056² = (1² + 7)(3² + 7)(6² + 7)(21² + 7)(49² + 7) = (1² + 7)(6² + 7)(7² + 7)(11² + 7)(49² + 7)
= (5² + 7)(7² + 7)(37² + 7)(49² + 7) = (6² + 7)(11² + 7)(21² + 7)(49² + 7).

Page of Squares : First Upload April 2, 2014 ; Last Revised April 2, 2014
by Yoshio Mimura, Kobe, Japan

---

77064

130³ + 77064 = 1508², 130³ - 77064 = 1456².

77064² = (1² + 3)(6² + 3)(45² + 3)(137² + 3).

Page of Squares : First Upload November 17, 2012 ; Last Revised April 2, 2014
by Yoshio Mimura, Kobe, Japan

---

77074

77074²± 3 are primes.

Page of Squares : First Upload April 2, 2014 ; Last Revised April 2, 2014
by Yoshio Mimura, Kobe, Japan

---

77121

77121² = (3² + 2)(5² + 2)(63² + 2)(71² + 2) = (3² + 2)(13² + 2)(25² + 2)(71² + 2).

Page of Squares : First Upload April 2, 2014 ; Last Revised April 2, 2014
by Yoshio Mimura, Kobe, Japan

---

77206

77206²± 3 are primes.

Page of Squares : First Upload April 2, 2014 ; Last Revised April 2, 2014
by Yoshio Mimura, Kobe, Japan

---

77220

77220² = (2² - 1)(4² - 1)(7² - 1)(10² - 1)(12² - 1)(14² - 1) = (10² - 1)(12² - 1)(25² - 1)(26² - 1)
= (10² - 1)(12² - 1)(649² - 1).

Page of Squares : First Upload April 2, 2014 ; Last Revised April 2, 2014
by Yoshio Mimura, Kobe, Japan

---

77232

77232²± 5 are primes.

Page of Squares : First Upload April 2, 2014 ; Last Revised April 2, 2014
by Yoshio Mimura, Kobe, Japan

---

77280

17⁴ + 77280 = 401², 17⁴ - 77280 = 79².

77280² = (2² - 1)(139² - 1)(321² - 1) = (3² - 1)(4² - 1)(22² - 1)(321² - 1)
= (3² - 1)(9² - 1)(22² - 1)(139² - 1) = (11² - 1)(22² - 1)(321² - 1).

Page of Squares : First Upload November 17, 2012 ; Last Revised April 2, 2014
by Yoshio Mimura, Kobe, Japan

---

77290

77290² = (16² + 6)(17² + 6)(278² + 6).

Page of Squares : First Upload April 2, 2014 ; Last Revised April 2, 2014
by Yoshio Mimura, Kobe, Japan

---

77312

77312² = (3² + 7)(11² + 7)(12² + 7)(139² + 7).

Page of Squares : First Upload April 2, 2014 ; Last Revised April 2, 2014
by Yoshio Mimura, Kobe, Japan

---

77346

77346² = 5982403716, a square with different digits.

Page of Squares : First Upload November 17, 2012 ; Last Revised November 17, 2012
by Yoshio Mimura, Kobe, Japan

---

77376

77376²± 5 are primes.

Page of Squares : First Upload April 2, 2014 ; Last Revised April 2, 2014
by Yoshio Mimura, Kobe, Japan

---

77406

77406²± 5 are primes.

Page of Squares : First Upload April 2, 2014 ; Last Revised April 2, 2014
by Yoshio Mimura, Kobe, Japan

---

77410

77410² = 2856² + 2857² + 2858² + ... + 3455².

Page of Squares : First Upload November 17, 2012 ; Last Revised November 17, 2012
by Yoshio Mimura, Kobe, Japan

---

77418

77418²± 5 are primes.

Page of Squares : First Upload April 2, 2014 ; Last Revised April 2, 2014
by Yoshio Mimura, Kobe, Japan

---

77444

77444² = 5997573136, 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

---

77478

77478² = 6002840484, a square with even digits.

Page of Squares : First Upload November 17, 2012 ; Last Revised November 17, 2012
by Yoshio Mimura, Kobe, Japan

---

77490

77490² = (1² + 5)(2² + 5)(4² + 5)(6² + 5)(10² + 5)(35² + 5)
= (1² + 5)(5² + 5)(6² + 5)(10² + 5)(88² + 5) = (1² + 5)(10² + 5)(35² + 5)(88² + 5)
= (2² + 5)(4² + 5)(6² + 5)(25² + 5)(35² + 5) = (2² + 5)(6² + 5)(10² + 5)(11² + 5)(35² + 5)
= (2² + 5)(6² + 5)(35² + 5)(115² + 5) = (3² + 5)(4² + 5)(6² + 5)(20² + 5)(35² + 5)
= (4² + 5)(5² + 5)(6² + 5)(10² + 5)(47² + 5) = (4² + 5)(5² + 5)(35² + 5)(88² + 5)
= (4² + 5)(6² + 5)(7² + 5)(10² + 5)(35² + 5) = (4² + 5)(10² + 5)(35² + 5)(47² + 5)
= (5² + 5)(6² + 5)(25² + 5)(88² + 5) = (5² + 5)(20² + 5)(703² + 5)
= (6² + 5)(10² + 5)(25² + 5)(47² + 5) = (6² + 5)(17² + 5)(20² + 5)(35² + 5)
= (25² + 5)(35² + 5)(88² + 5).

Page of Squares : First Upload April 2, 2014 ; Last Revised April 2, 2014
by Yoshio Mimura, Kobe, Japan

---

77520

77520² = (4² - 1)(7² - 1)(2889² - 1) = (7² - 1)(16² - 1)(18² - 1)(39² - 1).

Page of Squares : First Upload April 2, 2014 ; Last Revised April 2, 2014
by Yoshio Mimura, Kobe, Japan

---

77612

77612²± 3 are primes.

Page of Squares : First Upload April 2, 2014 ; Last Revised April 2, 2014
by Yoshio Mimura, Kobe, Japan

---

77658

77658²± 5 are primes.

Page of Squares : First Upload April 2, 2014 ; Last Revised April 2, 2014
by Yoshio Mimura, Kobe, Japan

---

77672

77672² = (1² + 3)(2² + 3)(17² + 3)(859² + 3) = (5² + 3)(17² + 3)(859² + 3).

Page of Squares : First Upload April 2, 2014 ; Last Revised April 2, 2014
by Yoshio Mimura, Kobe, Japan

---

77686

77686²± 3 are primes.

Page of Squares : First Upload April 2, 2014 ; Last Revised April 2, 2014
by Yoshio Mimura, Kobe, Japan

---

77724

77724² = 6770 x 6771 + 6772 x 6773 + 6774 x 6775 + 6776 x 6777 + ... + 7022 x 7023.

Page of Squares : First Upload November 17, 2012 ; Last Revised November 17, 2012
by Yoshio Mimura, Kobe, Japan

---

77760

306² + 77760 = 414², 306² - 77760 = 126².

Page of Squares : First Upload November 17, 2012 ; Last Revised November 17, 2012
by Yoshio Mimura, Kobe, Japan

---

77770

77770² = (14² + 6)(29² + 6)(188² + 6).

Page of Squares : First Upload April 2, 2014 ; Last Revised April 2, 2014
by Yoshio Mimura, Kobe, Japan

---

77778

77778² = (1² + 5)(12² + 5)(16² + 5)(161² + 5) = (2² + 5)(12² + 5)(13² + 5)(161² + 5).

Page of Squares : First Upload April 2, 2014 ; Last Revised April 2, 2014
by Yoshio Mimura, Kobe, Japan

---

77794

77794²± 3 are primes.

Page of Squares : First Upload April 2, 2014 ; Last Revised April 2, 2014
by Yoshio Mimura, Kobe, Japan

---

77805

77805² = (4² - 1)(6² - 1)(20² - 1)(170² - 1).

Page of Squares : First Upload April 2, 2014 ; Last Revised April 2, 2014
by Yoshio Mimura, Kobe, Japan

---

77814

77814² = (1² + 2)(2² + 2)(3² + 2)(5530² + 2) = (1² + 2)(8² + 2)(5530² + 2)
= (3² + 2)(4² + 2)(5530² + 2) = (3² + 2)(8² + 2)(28² + 2)(103² + 2) = (14² + 2)(5530² + 2).

Page of Squares : First Upload April 2, 2014 ; Last Revised April 2, 2014
by Yoshio Mimura, Kobe, Japan

---

77841

77841²± 2 are primes.

Page of Squares : First Upload April 2, 2014 ; Last Revised April 2, 2014
by Yoshio Mimura, Kobe, Japan

---

77848

77848² = (16² + 7)(17² + 7)(279² + 7).

Page of Squares : First Upload April 2, 2014 ; Last Revised April 2, 2014
by Yoshio Mimura, Kobe, Japan

---

77863

77863² = 6062646769, a square pegged by 6.

Page of Squares : First Upload November 17, 2012 ; Last Revised November 17, 2012
by Yoshio Mimura, Kobe, Japan

---

77900

5⁷ + 77900 = 395², 5⁷ - 77900 = 15².

Page of Squares : First Upload November 17, 2012 ; Last Revised November 17, 2012
by Yoshio Mimura, Kobe, Japan

---

77908

77908² = 6069656464, a square pegged by 6.

Page of Squares : First Upload November 17, 2012 ; Last Revised November 17, 2012
by Yoshio Mimura, Kobe, Japan

---

77910

77910² = (6² + 6)(10² + 6)(27² + 6)(43² + 6) = (10² + 6)(63² + 6)(120² + 6).

Page of Squares : First Upload April 2, 2014 ; Last Revised April 2, 2014
by Yoshio Mimura, Kobe, Japan

---

77932

77932²± 3 are primes.

Page of Squares : First Upload April 2, 2014 ; Last Revised April 2, 2014
by Yoshio Mimura, Kobe, Japan

---

77958

77958²± 5 are primes.

Page of Squares : First Upload April 2, 2014 ; Last Revised April 2, 2014
by Yoshio Mimura, Kobe, Japan

---

77964

77964² = 114*115*116 + 116*117*118 + 118*119*120 + 120*121*122 + ... + 468*469*470.

Page of Squares : First Upload October 26, 2013 ; Last Revised October 26, 2013
by Yoshio Mimura, Kobe, Japan

---

77976

285² + 77976 = 399², 285² - 77976 = 57².

Page of Squares : First Upload November 17, 2012 ; Last Revised November 17, 2012
by Yoshio Mimura, Kobe, Japan

---

77990

77990²± 3 are primes.

Page of Squares : First Upload April 2, 2014 ; Last Revised April 2, 2014
by Yoshio Mimura, Kobe, Japan

---