Squares:80000s

80002

80002² = (19² + 1)(21² + 1)(200² + 1) = (4² + 1)(5² + 1)(19² + 1)(200² + 1).

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

80010

80010² = (5² + 5)(73² + 5)(200² + 5).

Page of Squares : First Upload April 5, 2014 ; Last Revised April 5, 2014
by Yoshio Mimura, Kobe, Japan

80016

80016²± 5 are primes.

Page of Squares : First Upload April 5, 2014 ; Last Revised April 5, 2014
by Yoshio Mimura, Kobe, Japan

80089

80089 = 283², a square with 3 kinds of digits.

Page of Squares : First Upload November 24, 2012 ; Last Revised November 24, 2012
by Yoshio Mimura, Kobe, Japan

80178

80178² = (3² + 5)(8² + 5)(24² + 5)(107² + 5) = (3² + 5)(24² + 5)(889² + 5)
= (24² + 5)(31² + 5)(107² + 5).

Page of Squares : First Upload April 5, 2014 ; Last Revised April 5, 2014
by Yoshio Mimura, Kobe, Japan

80224

80224² = (4² + 7)(5² + 7)(50² + 7)(59² + 7) = (27² + 7)(50² + 7)(59² + 7).

Page of Squares : First Upload April 5, 2014 ; Last Revised April 5, 2014
by Yoshio Mimura, Kobe, Japan

80227

80227² = 6567² + 6568² + 6569² + ... + 6712².

Page of Squares : First Upload November 24, 2012 ; Last Revised November 24, 2012
by Yoshio Mimura, Kobe, Japan

80234

80234²± 3 are primes.

Page of Squares : First Upload April 5, 2014 ; Last Revised April 5, 2014
by Yoshio Mimura, Kobe, Japan

80256

370² + 80256 = 466², 370² - 80256 = 238².

Page of Squares : First Upload November 24, 2012 ; Last Revised November 24, 2012
by Yoshio Mimura, Kobe, Japan

80262

80262² = (3² + 3)(6² + 3)(12² + 3)(306² + 3).

Page of Squares : First Upload April 5, 2014 ; Last Revised April 5, 2014
by Yoshio Mimura, Kobe, Japan

80271

80271²± 2 are primes.

Page of Squares : First Upload April 5, 2014 ; Last Revised April 5, 2014
by Yoshio Mimura, Kobe, Japan

80325

80325² = (2² - 1)(4² - 1)(6² - 1)(2024² - 1) = (4² - 1)(16² - 1)(26² - 1)(50² - 1).

Page of Squares : First Upload April 5, 2014 ; Last Revised April 5, 2014
by Yoshio Mimura, Kobe, Japan

80361

80361² = 6457890321, a square with different digits.

Page of Squares : First Upload November 24, 2012 ; Last Revised November 24, 2012
by Yoshio Mimura, Kobe, Japan

80378

80378² = 6460622884, a square with even digits.

Page of Squares : First Upload November 24, 2012 ; Last Revised November 24, 2012
by Yoshio Mimura, Kobe, Japan

80379

80379²± 2 are primes.

Page of Squares : First Upload April 5, 2014 ; Last Revised April 5, 2014
by Yoshio Mimura, Kobe, Japan

80389

80389² = 2624² + 2625² + 2626² + ... + 3345².

Page of Squares : First Upload November 24, 2012 ; Last Revised November 24, 2012
by Yoshio Mimura, Kobe, Japan

80408

80408² = 6465446464, a square with 3 kinds of digits.

Page of Squares : First Upload November 24, 2012 ; Last Revised November 24, 2012
by Yoshio Mimura, Kobe, Japan

80415

80415² = 938² + 939² + 940² + ... + 2724².

Page of Squares : First Upload November 24, 2012 ; Last Revised November 24, 2012
by Yoshio Mimura, Kobe, Japan

80431

80431² = 2225² + 2226² + 2227² + ... + 3121².

Page of Squares : First Upload November 24, 2012 ; Last Revised November 24, 2012
by Yoshio Mimura, Kobe, Japan

80439

80439²± 2 are primes.

Page of Squares : First Upload April 5, 2014 ; Last Revised April 5, 2014
by Yoshio Mimura, Kobe, Japan

80445

80445² = 6471398025, a square with different digits.

Page of Squares : First Upload November 24, 2012 ; Last Revised November 24, 2012
by Yoshio Mimura, Kobe, Japan

80468

80468²± 3 are primes.

Page of Squares : First Upload April 5, 2014 ; Last Revised April 5, 2014
by Yoshio Mimura, Kobe, Japan

80510

80510²± 3 are primes.

Page of Squares : First Upload April 5, 2014 ; Last Revised April 5, 2014
by Yoshio Mimura, Kobe, Japan

80628

80628²± 5 are primes.

Page of Squares : First Upload April 5, 2014 ; Last Revised April 5, 2014
by Yoshio Mimura, Kobe, Japan

80640

80640² = (2² - 1)(3² - 1)(4² - 1)(5² - 1)(9² - 1)(97² - 1)
= (2² - 1)(3² - 1)(4² - 1)(7² - 1)(15² - 1)(41² - 1)
= (2² - 1)(3² - 1)(5² - 1)(9² - 1)(13² - 1)(29² - 1) = (2² - 1)(3² - 1)(6² - 1)(7² - 1)(13² - 1)(31² - 1)
= (2² - 1)(3² - 1)(6² - 1)(11² - 1)(15² - 1)(17² - 1) = (2² - 1)(3² - 1)(9² - 1)(19² - 1)(97² - 1)
= (2² - 1)(3² - 1)(13² - 1)(31² - 1)(41² - 1) = (2² - 1)(4² - 1)(7² - 1)(9² - 1)(13² - 1)(15² - 1)
= (2² - 1)(5² - 1)(9² - 1)(11² - 1)(97² - 1) = (2² - 1)(5² - 1)(9² - 1)(15² - 1)(71² - 1)
= (2² - 1)(5² - 1)(13² - 1)(15² - 1)(49² - 1) = (2² - 1)(6² - 1)(7² - 1)(9² - 1)(127² - 1)
= (2² - 1)(6² - 1)(15² - 1)(17² - 1)(31² - 1) = (2² - 1)(7² - 1)(11² - 1)(15² - 1)(41² - 1)
= (2² - 1)(7² - 1)(15² - 1)(449² - 1) = (2² - 1)(9² - 1)(41² - 1)(127² - 1)
= (3² - 1)(4² - 1)(5² - 1)(6² - 1)(15² - 1)(17² - 1) = (3² - 1)(4² - 1)(7² - 1)(8² - 1)(9² - 1)(15² - 1)
= (3² - 1)(4² - 1)(7² - 1)(11² - 1)(97² - 1) = (3² - 1)(4² - 1)(7² - 1)(15² - 1)(71² - 1)
= (3² - 1)(4² - 1)(9² - 1)(15² - 1)(55² - 1) = (3² - 1)(4² - 1)(15² - 1)(17² - 1)(29² - 1)
= (3² - 1)(5² - 1)(6² - 1)(7² - 1)(11² - 1)(13² - 1) = (3² - 1)(5² - 1)(8² - 1)(15² - 1)(49² - 1)
= (3² - 1)(5² - 1)(11² - 1)(13² - 1)(41² - 1) = (3² - 1)(5² - 1)(13² - 1)(449² - 1)
= (3² - 1)(6² - 1)(7² - 1)(17² - 1)(41² - 1) = (3² - 1)(6² - 1)(15² - 1)(17² - 1)(19² - 1)
= (3² - 1)(7² - 1)(11² - 1)(13² - 1)(29² - 1) = (3² - 1)(8² - 1)(9² - 1)(13² - 1)(31² - 1)
= (3² - 1)(13² - 1)(31² - 1)(71² - 1) = (4² - 1)(5² - 1)(7² - 1)(15² - 1)(41² - 1)
= (4² - 1)(7² - 1)(31² - 1)(97² - 1) = (4² - 1)(11² - 1)(15² - 1)(127² - 1)
= (5² - 1)(6² - 1)(7² - 1)(13² - 1)(31² - 1) = (5² - 1)(6² - 1)(11² - 1)(15² - 1)(17² - 1)
= (5² - 1)(9² - 1)(19² - 1)(97² - 1) = (5² - 1)(13² - 1)(31² - 1)(41² - 1)
= (6² - 1)(7² - 1)(9² - 1)(13² - 1)(17² - 1) = (7² - 1)(8² - 1)(9² - 1)(11² - 1)(15² - 1)
= (7² - 1)(11² - 1)(15² - 1)(71² - 1) = (7² - 1)(13² - 1)(29² - 1)(31² - 1)
= (7² - 1)(15² - 1)(19² - 1)(41² - 1) = (9² - 1)(11² - 1)(15² - 1)(55² - 1)
= (9² - 1)(13² - 1)(17² - 1)(41² - 1) = (9² - 1)(71² - 1)(127² - 1)
= (11² - 1)(15² - 1)(17² - 1)(29² - 1) = (13² - 1)(49² - 1)(127² - 1)
= (17² - 1)(49² - 1)(97² - 1).

Page of Squares : First Upload April 5, 2014 ; Last Revised April 5, 2014
by Yoshio Mimura, Kobe, Japan

80656

80656 = 284², a zigzag square.

Page of Squares : First Upload November 24, 2012 ; Last Revised November 24, 2012
by Yoshio Mimura, Kobe, Japan

80662

80662²± 3 are primes.

Page of Squares : First Upload April 5, 2014 ; Last Revised April 5, 2014
by Yoshio Mimura, Kobe, Japan

80665

80665² = (3² + 4)(9² + 4)(19² + 4)(127² + 4).

Page of Squares : First Upload April 5, 2014 ; Last Revised April 5, 2014
by Yoshio Mimura, Kobe, Japan

80668

80668² = (1² + 3)(2² + 3)(8² + 3)(13² + 3)(142² + 3) = (5² + 3)(8² + 3)(13² + 3)(142² + 3).

Page of Squares : First Upload April 5, 2014 ; Last Revised April 5, 2014
by Yoshio Mimura, Kobe, Japan

80673

80673²± 2 are primes.

Page of Squares : First Upload April 5, 2014 ; Last Revised April 5, 2014
by Yoshio Mimura, Kobe, Japan

80712

80712² = (1² + 8)(12² + 8)(13² + 8)(164² + 8) = (4² + 8)(7² + 8)(13² + 8)(164² + 8)
= (8² + 8)(9512² + 8).

Page of Squares : First Upload April 5, 2014 ; Last Revised April 5, 2014
by Yoshio Mimura, Kobe, Japan

80728

80728²± 3 are primes.

Page of Squares : First Upload April 5, 2014 ; Last Revised April 5, 2014
by Yoshio Mimura, Kobe, Japan

80736

290² + 80736 = 406², 290² - 80736 = 58².

Page of Squares : First Upload November 24, 2012 ; Last Revised November 24, 2012
by Yoshio Mimura, Kobe, Japan

80784

80784² = (1² + 8)(2² + 8)(3² + 8)(5² + 8)(16² + 8)(20² + 8)
= (1² + 8)(2² + 8)(3² + 8)(16² + 8)(116² + 8) = (1² + 8)(2² + 8)(5² + 8)(28² + 8)(48² + 8)
= (1² + 8)(2² + 8)(6² + 8)(14² + 8)(82² + 8) = (1² + 8)(3² + 8)(4² + 8)(5² + 8)(14² + 8)(16² + 8)
= (1² + 8)(3² + 8)(4² + 8)(16² + 8)(82² + 8) = (1² + 8)(3² + 8)(5² + 8)(6² + 8)(8² + 8)(20² + 8)
= (1² + 8)(3² + 8)(6² + 8)(8² + 8)(116² + 8) = (1² + 8)(3² + 8)(8² + 8)(20² + 8)(38² + 8)
= (1² + 8)(3² + 8)(14² + 8)(16² + 8)(28² + 8) = (1² + 8)(4² + 8)(6² + 8)(17² + 8)(48² + 8)
= (1² + 8)(5² + 8)(14² + 8)(16² + 8)(20² + 8) = (1² + 8)(14² + 8)(16² + 8)(116² + 8)
= (1² + 8)(16² + 8)(20² + 8)(82² + 8) = (2² + 8)(16² + 8)(20² + 8)(71² + 8)
= (2² + 8)(17² + 8)(28² + 8)(48² + 8) = (2² + 8)(3² + 8)(10² + 8)(14² + 8)(38² + 8)
= (2² + 8)(3² + 8)(16² + 8)(17² + 8)(20² + 8) = (2² + 8)(3² + 8)(20² + 8)(280² + 8)
= (2² + 8)(3² + 8)(4² + 8)(16² + 8)(71² + 8) = (2² + 8)(3² + 8)(5² + 8)(6² + 8)(10² + 8)(14² + 8)
= (2² + 8)(3² + 8)(5² + 8)(8² + 8)(116² + 8) = (2² + 8)(3² + 8)(6² + 8)(10² + 8)(82² + 8)
= (3² + 8)(4² + 8)(5² + 8)(8² + 8)(82² + 8) = (2² + 8)(4² + 8)(5² + 8)(17² + 8)(48² + 8)
= (3² + 8)(4² + 8)(6² + 8)(8² + 8)(71² + 8) = (3² + 8)(4² + 8)(6² + 8)(16² + 8)(37² + 8)
= (3² + 8)(4² + 8)(14² + 8)(16² + 8)(17² + 8) = (3² + 8)(4² + 8)(14² + 8)(280² + 8)
= (3² + 8)(5² + 8)(8² + 8)(14² + 8)(28² + 8) = (3² + 8)(5² + 8)(10² + 8)(16² + 8)(20² + 8)
= (3² + 8)(6² + 8)(8² + 8)(17² + 8)(20² + 8) = (3² + 8)(8² + 8)(28² + 8)(82² + 8)
= (3² + 8)(10² + 8)(16² + 8)(116² + 8) = (4² + 8)(14² + 8)(16² + 8)(71² + 8)
= (5² + 8)(6² + 8)(44² + 8)(48² + 8) = (5² + 8)(8² + 8)(14² + 8)(116² + 8)
= (5² + 8)(8² + 8)(20² + 8)(82² + 8) = (5² + 8)(10² + 8)(28² + 8)(48² + 8)
= (6² + 8)(8² + 8)(20² + 8)(71² + 8) = (6² + 8)(10² + 8)(14² + 8)(82² + 8)
= (6² + 8)(16² + 8)(20² + 8)(37² + 8) = (8² + 8)(82² + 8)(116² + 8)
= (14² + 8)(16² + 8)(17² + 8)(20² + 8) = (14² + 8)(20² + 8)(280² + 8)
= (38² + 8)(44² + 8)(48² + 8).

Page of Squares : First Upload April 5, 2014 ; Last Revised April 5, 2014
by Yoshio Mimura, Kobe, Japan

80796

80796²± 5 are primes.

Page of Squares : First Upload April 5, 2014 ; Last Revised April 5, 2014
by Yoshio Mimura, Kobe, Japan

80808

80808² = (1² + 3)(2² + 3)(6² + 3)(7² + 3)(16² + 3)(21² + 3)
= (1² + 3)(2² + 3)(16² + 3)(21² + 3)(45² + 3) = (1² + 3)(3² + 3)(58² + 3)(201² + 3)
= (1² + 3)(5² + 3)(6² + 3)(21² + 3)(58² + 3) = (1² + 3)(6² + 3)(16² + 3)(19² + 3)(21² + 3)
= (1² + 3)(21² + 3)(33² + 3)(58² + 3) = (2² + 3)(3² + 3)(7² + 3)(21² + 3)(58² + 3)
= (2² + 3)(7² + 3)(21² + 3)(201² + 3) = (3² + 3)(7² + 3)(16² + 3)(201² + 3)
= (3² + 3)(19² + 3)(21² + 3)(58² + 3) = (5² + 3)(6² + 3)(7² + 3)(16² + 3)(21² + 3)
= (5² + 3)(16² + 3)(21² + 3)(45² + 3) = (7² + 3)(9² + 3)(21² + 3)(58² + 3)
= (7² + 3)(16² + 3)(21² + 3)(33² + 3) = (19² + 3)(21² + 3)(201² + 3).

Page of Squares : First Upload April 5, 2014 ; Last Revised April 5, 2014
by Yoshio Mimura, Kobe, Japan

80865

80865²± 2 are primes.

Page of Squares : First Upload April 5, 2014 ; Last Revised April 5, 2014
by Yoshio Mimura, Kobe, Japan

80850

80850² = (1² + 6)(2² + 6)(3² + 6)(6² + 6)(13² + 6)(29² + 6)
= (1² + 6)(2² + 6)(3² + 6)(7² + 6)(15² + 6)(22² + 6) = (1² + 6)(2² + 6)(3² + 6)(27² + 6)(92² + 6)
= (1² + 6)(2² + 6)(6² + 6)(7² + 6)(13² + 6)(15² + 6) = (1² + 6)(2² + 6)(7² + 6)(27² + 6)(48² + 6)
= (1² + 6)(2² + 6)(12² + 6)(27² + 6)(29² + 6) = (1² + 6)(2² + 6)(13² + 6)(15² + 6)(48² + 6)
= (1² + 6)(3² + 6)(4² + 6)(7² + 6)(8² + 6)(27² + 6)
= (1² + 6)(3² + 6)(4² + 6)(8² + 6)(13² + 6)(15² + 6) = (1² + 6)(3² + 6)(4² + 6)(27² + 6)(62² + 6)
= (1² + 6)(3² + 6)(6² + 6)(13² + 6)(92² + 6) = (1² + 6)(3² + 6)(7² + 6)(22² + 6)(48² + 6)
= (1² + 6)(3² + 6)(8² + 6)(15² + 6)(62² + 6) = (1² + 6)(3² + 6)(12² + 6)(22² + 6)(29² + 6)
= (1² + 6)(4² + 6)(6² + 6)(27² + 6)(37² + 6) = (1² + 6)(4² + 6)(13² + 6)(18² + 6)(27² + 6)
= (1² + 6)(6² + 6)(7² + 6)(13² + 6)(48² + 6) = (1² + 6)(6² + 6)(8² + 6)(15² + 6)(37² + 6)
= (1² + 6)(6² + 6)(12² + 6)(13² + 6)(29² + 6) = (1² + 6)(6² + 6)(22² + 6)(213² + 6)
= (1² + 6)(6² + 6)(29² + 6)(162² + 6) = (1² + 6)(7² + 6)(8² + 6)(18² + 6)(27² + 6)
= (1² + 6)(7² + 6)(12² + 6)(15² + 6)(22² + 6) = (1² + 6)(8² + 6)(13² + 6)(15² + 6)(18² + 6)
= (1² + 6)(12² + 6)(27² + 6)(92² + 6) = (1² + 6)(18² + 6)(27² + 6)(62² + 6)
= (2² + 6)(3² + 6)(8² + 6)(27² + 6)(29² + 6) = (2² + 6)(4² + 6)(13² + 6)(15² + 6)(27² + 6)
= (2² + 6)(7² + 6)(8² + 6)(15² + 6)(27² + 6) = (2² + 6)(15² + 6)(27² + 6)(62² + 6)
= (2² + 6)(120² + 6)(213² + 6) = (3² + 6)(4² + 6)(7² + 6)(22² + 6)(27² + 6)
= (3² + 6)(4² + 6)(13² + 6)(15² + 6)(22² + 6) = (3² + 6)(4² + 6)(37² + 6)(120² + 6)
= (3² + 6)(6² + 6)(8² + 6)(13² + 6)(29² + 6) = (3² + 6)(7² + 6)(8² + 6)(15² + 6)(22² + 6)
= (3² + 6)(8² + 6)(27² + 6)(92² + 6) = (3² + 6)(15² + 6)(22² + 6)(62² + 6)
= (4² + 6)(6² + 6)(7² + 6)(13² + 6)(27² + 6) = (4² + 6)(13² + 6)(27² + 6)(48² + 6)
= (6² + 6)(7² + 6)(8² + 6)(13² + 6)(15² + 6) = (6² + 6)(7² + 6)(27² + 6)(62² + 6)
= (6² + 6)(13² + 6)(15² + 6)(62² + 6) = (6² + 6)(15² + 6)(22² + 6)(37² + 6)
= (7² + 6)(8² + 6)(27² + 6)(48² + 6) = (7² + 6)(18² + 6)(22² + 6)(27² + 6)
= (8² + 6)(12² + 6)(27² + 6)(29² + 6) = (8² + 6)(13² + 6)(15² + 6)(48² + 6)
= (13² + 6)(15² + 6)(18² + 6)(22² + 6) = (18² + 6)(37² + 6)(120² + 6)
= (27² + 6)(48² + 6)(62² + 6).

Page of Squares : First Upload April 5, 2014 ; Last Revised April 5, 2014
by Yoshio Mimura, Kobe, Japan

80914

80914²± 3 are primes.

Page of Squares : First Upload April 5, 2014 ; Last Revised April 5, 2014
by Yoshio Mimura, Kobe, Japan

80934

80934² = (1² + 5)(3² + 5)(6² + 5)(18² + 5)(76² + 5).

Page of Squares : First Upload April 5, 2014 ; Last Revised April 5, 2014
by Yoshio Mimura, Kobe, Japan

80982

80982² is the sum of (24x+23)² for x = 0, 1,...,323.

Page of Squares : First Upload November 24, 2012 ; Last Revised November 24, 2012
by Yoshio Mimura, Kobe, Japan