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87000 - 87999

87024

870242 = (12 + 3)(22 + 3)(52 + 3)(92 + 3)(162 + 3)(212 + 3)
= (12 + 3)(32 + 3)(162 + 3)(212 + 3)(372 + 3).

Page of Squares : First Upload April 9, 2014 ; Last Revised April 9, 2014
by Yoshio Mimura, Kobe, Japan

87025

87025 = 2952, a square with different digits.

870252 = 64532 + 64542 + 64552 + ... + 66292.

Page of Squares : First Upload December 8, 2012 ; Last Revised December 8, 2012
by Yoshio Mimura, Kobe, Japan

87032

870322 = (12 + 7)(22 + 7)(42 + 7)(62 + 7)(2952 + 7) = (42 + 7)(62 + 7)(92 + 7)(2952 + 7).

Page of Squares : First Upload April 9, 2014 ; Last Revised April 9, 2014
by Yoshio Mimura, Kobe, Japan

87058

870582± 3 are primes.

Page of Squares : First Upload April 9, 2014 ; Last Revised April 9, 2014
by Yoshio Mimura, Kobe, Japan

87075

870752± 2 are primes.

Page of Squares : First Upload April 9, 2014 ; Last Revised April 9, 2014
by Yoshio Mimura, Kobe, Japan

87084

870842 = (132 + 8)(462 + 8)(1422 + 8).

Page of Squares : First Upload April 9, 2014 ; Last Revised April 9, 2014
by Yoshio Mimura, Kobe, Japan

87096

870962± 5 are primes.

Page of Squares : First Upload April 9, 2014 ; Last Revised April 9, 2014
by Yoshio Mimura, Kobe, Japan

87099

870992± 2 are primes.

Page of Squares : First Upload April 9, 2014 ; Last Revised April 9, 2014
by Yoshio Mimura, Kobe, Japan

87100

871002= 130 x 131 + 131 x 132 + 132 x 133 +...+ 2833 x 2834.

Page of Squares : First Upload December 8, 2012 ; Last Revised December 8, 2012
by Yoshio Mimura, Kobe, Japan

87120

4512 + 87120 = 5392, 4512 - 87120 = 3412.

871202 = (22 - 1)(102 - 1)(212 - 1)(2412 - 1).

Page of Squares : First Upload December 8, 2012 ; Last Revised April 9, 2014
by Yoshio Mimura, Kobe, Japan

87166

871662 = 7597911556, 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

872219

872192± 2 are primes.

Page of Squares : First Upload April 9, 2014 ; Last Revised April 9, 2014
by Yoshio Mimura, Kobe, Japan

87234

872342 = (82 + 3)(122 + 3)(8792 + 3).

Page of Squares : First Upload April 9, 2014 ; Last Revised April 9, 2014
by Yoshio Mimura, Kobe, Japan

87352

873522± 3 are primes.

Page of Squares : First Upload April 9, 2014 ; Last Revised April 9, 2014
by Yoshio Mimura, Kobe, Japan

87360

873602 = (22 - 1)(32 - 1)(62 - 1)(92 - 1)(3372 - 1) = (22 - 1)(32 - 1)(132 - 1)(272 - 1)(512 - 1)
= (22 - 1)(92 - 1)(142 - 1)(152 - 1)(272 - 1) = (22 - 1)(92 - 1)(272 - 1)(2092 - 1)
= (22 - 1)(1292 - 1)(3912 - 1) = (32 - 1)(62 - 1)(142 - 1)(152 - 1)(252 - 1)
= (32 - 1)(62 - 1)(252 - 1)(2092 - 1) = (32 - 1)(792 - 1)(3912 - 1) = (52 - 1)(62 - 1)(92 - 1)(3372 - 1)
= (52 - 1)(132 - 1)(272 - 1)(512 - 1) = (62 - 1)(72 - 1)(272 - 1)(792 - 1) = (92 - 1)(252 - 1)(3912 - 1)
= (92 - 1)(292 - 1)(3372 - 1) = (272 - 1)(412 - 1)(792 - 1).

Page of Squares : First Upload April 9, 2014 ; Last Revised April 9, 2014
by Yoshio Mimura, Kobe, Japan

87374

873742± 3 are primes.

Page of Squares : First Upload April 9, 2014 ; Last Revised April 9, 2014
by Yoshio Mimura, Kobe, Japan

87450

874502 = (32 + 6)(42 + 6)(72 + 6)(102 + 6)(632 + 6) = (72 + 6)(102 + 6)(182 + 6)(632 + 6).

Page of Squares : First Upload April 9, 2014 ; Last Revised April 9, 2014
by Yoshio Mimura, Kobe, Japan

87464

874642 = (52 + 4)(822 + 4)(1982 + 4).

Page of Squares : First Upload April 9, 2014 ; Last Revised April 9, 2014
by Yoshio Mimura, Kobe, Japan

87480

3512 + 87480 = 4592, 3512 - 87480 = 1892.

Page of Squares : First Upload December 8, 2012 ; Last Revised December 8, 2012
by Yoshio Mimura, Kobe, Japan

87481

87481 is the sixth prime number for which the Legendre symbol (a/87481) = 1 for a = 1, 2,...,28.

Page of Squares : First Upload December 8, 2012 ; Last Revised December 8, 2012
by Yoshio Mimura, Kobe, Japan

87483

874832 = 1922 + 1932 + 1942 + ... + 28422.

Page of Squares : First Upload December 8, 2012 ; Last Revised December 8, 2012
by Yoshio Mimura, Kobe, Japan

87528

875282± 5 are primes.

Page of Squares : First Upload April 9, 2014 ; Last Revised April 9, 2014
by Yoshio Mimura, Kobe, Japan

87537

875372± 2 are primes.

Page of Squares : First Upload April 9, 2014 ; Last Revised April 9, 2014
by Yoshio Mimura, Kobe, Japan

87561

875612 = 15092 + 15112 + 15132 + 15152 + ... + 36692.

Page of Squares : First Upload December 8, 2012 ; Last Revised December 8, 2012
by Yoshio Mimura, Kobe, Japan

87597

875972± 2 are primes.

Page of Squares : First Upload April 9, 2014 ; Last Revised April 9, 2014
by Yoshio Mimura, Kobe, Japan

87605

876052 = 11772 + 11792 + 11812 + 11832 + ... + 36252.

Page of Squares : First Upload December 8, 2012 ; Last Revised December 8, 2012
by Yoshio Mimura, Kobe, Japan

87621

876212± 2 are primes.

Page of Squares : First Upload April 9, 2014 ; Last Revised April 9, 2014
by Yoshio Mimura, Kobe, Japan

87633

876332± 2 are primes.

Page of Squares : First Upload April 9, 2014 ; Last Revised April 9, 2014
by Yoshio Mimura, Kobe, Japan

87636

876362 = (32 + 3)(182 + 3)(13992 + 3).

Page of Squares : First Upload April 9, 2014 ; Last Revised April 9, 2014
by Yoshio Mimura, Kobe, Japan

87639

876392 = 7680594321, a square with different digits.

Page of Squares : First Upload December 8, 2012 ; Last Revised December 8, 2012
by Yoshio Mimura, Kobe, Japan

87648

876492 = (42 + 8)(62 + 8)(182 + 8)(1482 + 8).

Page of Squares : First Upload April 9, 2014 ; Last Revised April 9, 2014
by Yoshio Mimura, Kobe, Japan

87687

876872± 2 are primes.

Page of Squares : First Upload April 9, 2014 ; Last Revised April 9, 2014
by Yoshio Mimura, Kobe, Japan

87696

7852 + 87696 = 8392, 7852 - 87696 = 7272.

876962 = (72 - 1)(82 - 1)(282 - 1)(572 - 1) = (282 - 1)(552 - 1)(572 - 1).

Page of Squares : First Upload December 8, 2012 ; Last Revised April 9, 2014
by Yoshio Mimura, Kobe, Japan

87724

877242± 3 are primes.

Page of Squares : First Upload April 9, 2014 ; Last Revised April 9, 2014
by Yoshio Mimura, Kobe, Japan

87734

877342± 3 are primes.

Page of Squares : First Upload April 9, 2014 ; Last Revised April 9, 2014
by Yoshio Mimura, Kobe, Japan

87750

877502 = (12 + 9)(22 + 9)(32 + 9)(42 + 9)(62 + 9)(542 + 9)
= (12 + 9)(22 + 9)(42 + 9)(62 + 9)(92 + 9)(242 + 9) = (12 + 9)(22 + 9)(62 + 9)(212 + 9)(542 + 9)
= (12 + 9)(32 + 9)(42 + 9)(242 + 9)(542 + 9) = (12 + 9)(42 + 9)(62 + 9)(152 + 9)(542 + 9)
= (12 + 9)(62 + 9)(242 + 9)(1712 + 9) = (12 + 9)(212 + 9)(242 + 9)(542 + 9)
= (22 + 9)(32 + 9)(42 + 9)(62 + 9)(1712 + 9) = (22 + 9)(32 + 9)(42 + 9)(212 + 9)(542 + 9)
= (22 + 9)(42 + 9)(92 + 9)(212 + 9)(242 + 9) = (22 + 9)(62 + 9)(212 + 9)(1712 + 9)
= (32 + 9)(42 + 9)(62 + 9)(112 + 9)(542 + 9) = (32 + 9)(42 + 9)(242 + 9)(1712 + 9)
= (42 + 9)(62 + 9)(92 + 9)(112 + 9)(242 + 9) = (42 + 9)(62 + 9)(152 + 9)(1712 + 9)
= (42 + 9)(152 + 9)(212 + 9)(542 + 9) = (62 + 9)(112 + 9)(212 + 9)(542 + 9)
= (92 + 9)(542 + 9)(1712 + 9) = (212 + 9)(242 + 9)(1712 + 9).

Page of Squares : First Upload April 9, 2014 ; Last Revised April 9, 2014
by Yoshio Mimura, Kobe, Japan

87780

877802 = (22 - 1)(62 - 1)(562 - 1)(1532 - 1) = (62 - 1)(412 - 1)(3622 - 1)
= (62 - 1)(562 - 1)(2652 - 1) = (12 + 4)(22 + 4)(292 + 4)(4782 + 4)
= (62 + 4)(292 + 4)(4782 + 4).

Page of Squares : First Upload April 9, 2014 ; Last Revised April 9, 2014
by Yoshio Mimura, Kobe, Japan

87800

878002± 3 are primes.

Page of Squares : First Upload April 9, 2014 ; Last Revised April 9, 2014
by Yoshio Mimura, Kobe, Japan

87826

878262± 3 are primes.

Page of Squares : First Upload April 9, 2014 ; Last Revised April 9, 2014
by Yoshio Mimura, Kobe, Japan

87813

878132± 2 are primes.

Page of Squares : First Upload April 9, 2014 ; Last Revised April 9, 2014
by Yoshio Mimura, Kobe, Japan

87882

878822 = (242 + 6)(302 + 6)(1212 + 6).

Page of Squares : First Upload April 9, 2014 ; Last Revised April 9, 2014
by Yoshio Mimura, Kobe, Japan

87906

879062± 5 are primes.

Page of Squares : First Upload April 9, 2014 ; Last Revised April 9, 2014
by Yoshio Mimura, Kobe, Japan

87916

879162± 3 are primes.

Page of Squares : First Upload April 9, 2014 ; Last Revised April 9, 2014
by Yoshio Mimura, Kobe, Japan

87963

879632± 2 are primes.

Page of Squares : First Upload April 9, 2014 ; Last Revised April 9, 2014
by Yoshio Mimura, Kobe, Japan