87024
870242 = (12 + 3)(22 + 3)(52 + 3)(92 + 3)(162 + 3)(212 + 3)
= (12 + 3)(32 + 3)(162 + 3)(212 + 3)(372 + 3).
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, 2012by 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, 2014by Yoshio Mimura, Kobe, Japan
87058
870582± 3 are primes.
Page of Squares : First Upload April 9, 2014 ; Last Revised April 9, 2014by Yoshio Mimura, Kobe, Japan
87075
870752± 2 are primes.
Page of Squares : First Upload April 9, 2014 ; Last Revised April 9, 2014by Yoshio Mimura, Kobe, Japan
87084
870842 = (132 + 8)(462 + 8)(1422 + 8).
Page of Squares : First Upload April 9, 2014 ; Last Revised April 9, 2014by Yoshio Mimura, Kobe, Japan
87096
870962± 5 are primes.
Page of Squares : First Upload April 9, 2014 ; Last Revised April 9, 2014by Yoshio Mimura, Kobe, Japan
87099
870992± 2 are primes.
Page of Squares : First Upload April 9, 2014 ; Last Revised April 9, 2014by 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, 2012by 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, 2014by 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, 2013by Yoshio Mimura, Kobe, Japan
872219
872192± 2 are primes.
Page of Squares : First Upload April 9, 2014 ; Last Revised April 9, 2014by Yoshio Mimura, Kobe, Japan
87234
872342 = (82 + 3)(122 + 3)(8792 + 3).
Page of Squares : First Upload April 9, 2014 ; Last Revised April 9, 2014by Yoshio Mimura, Kobe, Japan
87352
873522± 3 are primes.
Page of Squares : First Upload April 9, 2014 ; Last Revised April 9, 2014by 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).
by Yoshio Mimura, Kobe, Japan
87374
873742± 3 are primes.
Page of Squares : First Upload April 9, 2014 ; Last Revised April 9, 2014by 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, 2014by Yoshio Mimura, Kobe, Japan
87464
874642 = (52 + 4)(822 + 4)(1982 + 4).
Page of Squares : First Upload April 9, 2014 ; Last Revised April 9, 2014by Yoshio Mimura, Kobe, Japan
87480
3512 + 87480 = 4592, 3512 - 87480 = 1892.
Page of Squares : First Upload December 8, 2012 ; Last Revised December 8, 2012by 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, 2012by Yoshio Mimura, Kobe, Japan
87483
874832 = 1922 + 1932 + 1942 + ... + 28422.
Page of Squares : First Upload December 8, 2012 ; Last Revised December 8, 2012by Yoshio Mimura, Kobe, Japan
87528
875282± 5 are primes.
Page of Squares : First Upload April 9, 2014 ; Last Revised April 9, 2014by Yoshio Mimura, Kobe, Japan
87537
875372± 2 are primes.
Page of Squares : First Upload April 9, 2014 ; Last Revised April 9, 2014by Yoshio Mimura, Kobe, Japan
87561
875612 = 15092 + 15112 + 15132 + 15152 + ... + 36692.
Page of Squares : First Upload December 8, 2012 ; Last Revised December 8, 2012by Yoshio Mimura, Kobe, Japan
87597
875972± 2 are primes.
Page of Squares : First Upload April 9, 2014 ; Last Revised April 9, 2014by Yoshio Mimura, Kobe, Japan
87605
876052 = 11772 + 11792 + 11812 + 11832 + ... + 36252.
Page of Squares : First Upload December 8, 2012 ; Last Revised December 8, 2012by Yoshio Mimura, Kobe, Japan
87621
876212± 2 are primes.
Page of Squares : First Upload April 9, 2014 ; Last Revised April 9, 2014by Yoshio Mimura, Kobe, Japan
87633
876332± 2 are primes.
Page of Squares : First Upload April 9, 2014 ; Last Revised April 9, 2014by Yoshio Mimura, Kobe, Japan
87636
876362 = (32 + 3)(182 + 3)(13992 + 3).
Page of Squares : First Upload April 9, 2014 ; Last Revised April 9, 2014by Yoshio Mimura, Kobe, Japan
87639
876392 = 7680594321, a square with different digits.
Page of Squares : First Upload December 8, 2012 ; Last Revised December 8, 2012by 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, 2014by Yoshio Mimura, Kobe, Japan
87687
876872± 2 are primes.
Page of Squares : First Upload April 9, 2014 ; Last Revised April 9, 2014by 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, 2014by Yoshio Mimura, Kobe, Japan
87724
877242± 3 are primes.
Page of Squares : First Upload April 9, 2014 ; Last Revised April 9, 2014by Yoshio Mimura, Kobe, Japan
87734
877342± 3 are primes.
Page of Squares : First Upload April 9, 2014 ; Last Revised April 9, 2014by 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).
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).
by Yoshio Mimura, Kobe, Japan
87800
878002± 3 are primes.
Page of Squares : First Upload April 9, 2014 ; Last Revised April 9, 2014by Yoshio Mimura, Kobe, Japan
87826
878262± 3 are primes.
Page of Squares : First Upload April 9, 2014 ; Last Revised April 9, 2014by Yoshio Mimura, Kobe, Japan
87813
878132± 2 are primes.
Page of Squares : First Upload April 9, 2014 ; Last Revised April 9, 2014by Yoshio Mimura, Kobe, Japan
87882
878822 = (242 + 6)(302 + 6)(1212 + 6).
Page of Squares : First Upload April 9, 2014 ; Last Revised April 9, 2014by Yoshio Mimura, Kobe, Japan
87906
879062± 5 are primes.
Page of Squares : First Upload April 9, 2014 ; Last Revised April 9, 2014by Yoshio Mimura, Kobe, Japan
87916
879162± 3 are primes.
Page of Squares : First Upload April 9, 2014 ; Last Revised April 9, 2014by Yoshio Mimura, Kobe, Japan
87963
879632± 2 are primes.
Page of Squares : First Upload April 9, 2014 ; Last Revised April 9, 2014by Yoshio Mimura, Kobe, Japan