69003
690032 = (12 + 2)(72 + 2)(112 + 2)(5032 + 2) = (32 + 2)(72 + 2)(412 + 2)(712 + 2).
Page of Squares : First Upload March 26, 2014 ; Last Revised March 26, 2014by Yoshio Mimura, Kobe, Japan
69042
690422± 5 are primes.
Page of Squares : First Upload March 26, 2014 ; Last Revised March 26, 2014by Yoshio Mimura, Kobe, Japan
69048
690482± 5 are primes.
Page of Squares : First Upload March 26, 2014 ; Last Revised March 26, 2014by Yoshio Mimura, Kobe, Japan
69056
690562± 3 are primes.
Page of Squares : First Upload March 26, 2014 ; Last Revised March 26, 2014by Yoshio Mimura, Kobe, Japan
69120
3122 + 69120 = 4082, 3122 - 69120 = 1682.
691202 = (22 - 1)(32 - 1)(42 - 1)(72 - 1)(172 - 1)(312 - 1)
= (22 - 1)(32 - 1)(52 - 1)(92 - 1)(172 - 1)(192 - 1) = (22 - 1)(72 - 1)(112 - 1)(172 - 1)(312 - 1)
= (32 - 1)(42 - 1)(52 - 1)(72 - 1)(112 - 1)(172 - 1) = (32 - 1)(52 - 1)(312 - 1)(1612 - 1)
= (32 - 1)(72 - 1)(112 - 1)(172 - 1)(192 - 1) = (32 - 1)(92 - 1)(172 - 1)(1612 - 1)
= (42 - 1)(52 - 1)(72 - 1)(172 - 1)(312 - 1) = (72 - 1)(172 - 1)(192 - 1)(312 - 1).
by Yoshio Mimura, Kobe, Japan
69121
691212 = 1204 + 1364 + 2554, the 5th primitive sum of three 4-th powers.
Page of Squares : First Upload October 27, 2012 ; Last Revised October 27, 2012by Yoshio Mimura, Kobe, Japan
69136
691362 = (152 + 7)(45392 + 7).
Page of Squares : First Upload March 26, 2014 ; Last Revised March 26, 2014by Yoshio Mimura, Kobe, Japan
69141
691412± 2 are primes.
Page of Squares : First Upload March 26, 2014 ; Last Revised March 26, 2014by Yoshio Mimura, Kobe, Japan
69160
691602± 3 are primes.
Page of Squares : First Upload March 26, 2014 ; Last Revised March 26, 2014by Yoshio Mimura, Kobe, Japan
69169
69169 = 2632, a square with 3 kinds of digits.
Page of Squares : First Upload October 27, 2012 ; Last Revised October 27, 2012by Yoshio Mimura, Kobe, Japan
69174
691742 = (22 + 5)(42 + 5)(192 + 5)(2632 + 5) = (22 + 5)(72 + 5)(192 + 5)(1642 + 5).
Page of Squares : First Upload March 26, 2014 ; Last Revised March 26, 2014by Yoshio Mimura, Kobe, Japan
69200
692002 = (12 + 4)(22 + 4)(42 + 4)(132 + 4)(1862 + 4) = (42 + 4)(62 + 4)(132 + 4)(1862 + 4).
Page of Squares : First Upload March 26, 2014 ; Last Revised March 26, 2014by Yoshio Mimura, Kobe, Japan
69264
692642 = (252 - 1)(382 - 1)(732 - 1).
Page of Squares : First Upload March 26, 2014 ; Last Revised March 26, 2014by Yoshio Mimura, Kobe, Japan
69290
692902 = (92 + 1)(322 + 1)(2392 + 1).
Page of Squares : First Upload November 16, 2013 ; Last Revised November 16, 2013by Yoshio Mimura, Kobe, Japan
69300
693002 = (12 + 6)(32 + 6)(42 + 6)(62 + 6)(122 + 6)(182 + 6)
= (22 + 6)(32 + 6)(42 + 6)(62 + 6)(122 + 6)(152 + 6) = (22 + 6)(32 + 6)(62 + 6)(182 + 6)(482 + 6)
= (22 + 6)(62 + 6)(122 + 6)(152 + 6)(182 + 6) = (32 + 6)(42 + 6)(62 + 6)(122 + 6)(482 + 6)
= (62 + 6)(122 + 6)(182 + 6)(482 + 6) = (22 - 1)(42 - 1)(62 - 1)(232 - 1)(762 - 1)
= (22 - 1)(62 - 1)(92 - 1)(102 - 1)(762 - 1) = (22 - 1)(62 - 1)(342 - 1)(1992 - 1)
= (22 - 1)(62 - 1)(762 - 1)(892 - 1) = (42 - 1)(62 - 1)(92 - 1)(102 - 1)(342 - 1)
= (42 - 1)(62 - 1)(342 - 1)(892 - 1) = (42 - 1)(72 - 1)(342 - 1)(762 - 1).
by Yoshio Mimura, Kobe, Japan
69306
693062± 5 are primes.
Page of Squares : First Upload March 26, 2014 ; Last Revised March 26, 2014by Yoshio Mimura, Kobe, Japan
69344
693442 = (22 + 7)(32 + 7)(52272 + 7) = (132 + 7)(52272 + 7).
Page of Squares : First Upload March 26, 2014 ; Last Revised March 26, 2014by Yoshio Mimura, Kobe, Japan
69360
174 + 69360 = 3912, 174 - 69360 = 1192.
Page of Squares : First Upload October 27, 2012 ; Last Revised October 27, 2012by Yoshio Mimura, Kobe, Japan
69376
693762± 3 are primes.
Page of Squares : First Upload March 26, 2014 ; Last Revised March 26, 2014by Yoshio Mimura, Kobe, Japan
69393
693932± 2 are primes.
Page of Squares : First Upload March 26, 2014 ; Last Revised March 26, 2014by Yoshio Mimura, Kobe, Japan
69432
694322 = 4820802624, a square with even digits.
Page of Squares : First Upload October 27, 2012 ; Last Revised October 27, 2012by Yoshio Mimura, Kobe, Japan
69483
694832± 2 are primes.
Page of Squares : First Upload March 26, 2014 ; Last Revised March 26, 2014by Yoshio Mimura, Kobe, Japan
69496
694962± 3 are primes.
Page of Squares : First Upload March 26, 2014 ; Last Revised March 26, 2014by Yoshio Mimura, Kobe, Japan
69513
695132 = 4832057169, a square with different digits.
Page of Squares : First Upload October 27, 2012 ; Last Revised October 27, 2012by Yoshio Mimura, Kobe, Japan
69552
695522 = (22 - 1)(52 - 1)(82 - 1)(222 - 1)(472 - 1).
Page of Squares : First Upload March 26, 2014 ; Last Revised March 26, 2014by Yoshio Mimura, Kobe, Japan
69568
695682 = (12 + 7)(32 + 7)(61492 + 7) = (112 + 7)(61492 + 7).
Page of Squares : First Upload March 26, 2014 ; Last Revised March 26, 2014by Yoshio Mimura, Kobe, Japan
69575
695752 = 4840680625, and 484 = 222, 680625 = 8252.
Page of Squares : First Upload October 27, 2012 ; Last Revised October 27, 2012by Yoshio Mimura, Kobe, Japan
69626
696262± 3 are primes.
Page of Squares : First Upload March 26, 2014 ; Last Revised March 26, 2014by Yoshio Mimura, Kobe, Japan
69696
69696 = 2642, a palindromic zigzag square with 2 kinds of digits.
696962 = (22 + 8)(42 + 8)(62 + 8)(162 + 8)(382 + 8).
Page of Squares : First Upload October 27, 2012 ; Last Revised March 26, 2014by Yoshio Mimura, Kobe, Japan
69700
697002 = (12 + 1)(32 + 1)(42 + 1)(92 + 1)(132 + 1)(322 + 1)
= (12 + 1)(32 + 1)(92 + 1)(132 + 1)(1322 + 1) = (12 + 4)(42 + 4)(92 + 4)(7562 + 4)
= (12 + 4)(82 + 4)(592 + 4)(642 + 4) = (42 + 4)(592 + 4)(2642 + 4) = (82 + 4)(112 + 4)(7562 + 4).
by Yoshio Mimura, Kobe, Japan
69708
697082± 5 are primes.
697082 = (212 + 3)(252 + 3)(1322 + 3).
Page of Squares : First Upload March 26, 2014 ; Last Revised March 26, 2014by Yoshio Mimura, Kobe, Japan
69748
697482± 3 are primes.
Page of Squares : First Upload March 26, 2014 ; Last Revised March 26, 2014by Yoshio Mimura, Kobe, Japan
69753
697532± 2 are primes.
Page of Squares : First Upload March 26, 2014 ; Last Revised March 26, 2014by Yoshio Mimura, Kobe, Japan
69762
697622 = (12 + 6)(302 + 6)(8762 + 6) = (42 + 6)(62 + 6)(22952 + 6).
Page of Squares : First Upload March 26, 2014 ; Last Revised March 26, 2014by Yoshio Mimura, Kobe, Japan
69768
697682± 5 are primes.
697682 = (12 + 8)(32 + 8)(72 + 8)(82 + 8)(882 + 8) = (12 + 8)(32 + 8)(642 + 8)(882 + 8)
= (12 + 8)(42 + 8)(72 + 8)(202 + 8)(312 + 8) = (12 + 8)(42 + 8)(202 + 8)(2352 + 8)
= (12 + 8)(72 + 8)(482 + 8)(642 + 8) = (12 + 8)(82 + 8)(312 + 8)(882 + 8)
= (32 + 8)(42 + 8)(72 + 8)(122 + 8)(372 + 8) = (32 + 8)(82 + 8)(312 + 8)(642 + 8)
= (32 + 8)(122 + 8)(312 + 8)(442 + 8) = (42 + 8)(122 + 8)(312 + 8)(372 + 8)
= (72 + 8)(122 + 8)(202 + 8)(372 + 8).
by Yoshio Mimura, Kobe, Japan
69794
697942± 3 are primes.
Page of Squares : First Upload March 26, 2014 ; Last Revised March 26, 2014by Yoshio Mimura, Kobe, Japan
69796
697962± 3 are primes.
Page of Squares : First Upload March 26, 2014 ; Last Revised March 26, 2014by Yoshio Mimura, Kobe, Japan
69826
698262± 3 are primes.
Page of Squares : First Upload March 26, 2014 ; Last Revised March 26, 2014by Yoshio Mimura, Kobe, Japan
69832
698322 = (62 + 7)(142 + 7)(152 + 7)(492 + 7) = (62 + 7)(492 + 7)(2172 + 7).
Page of Squares : First Upload March 26, 2014 ; Last Revised March 26, 2014by Yoshio Mimura, Kobe, Japan
69855
698552± 2 are primes.
Page of Squares : First Upload March 26, 2014 ; Last Revised March 26, 2014by Yoshio Mimura, Kobe, Japan
69860
698602± 3 are primes.
Page of Squares : First Upload March 26, 2014 ; Last Revised March 26, 2014by Yoshio Mimura, Kobe, Japan
69864
698642 = (32 - 1)(52 - 1)(50422 - 1).
Page of Squares : First Upload March 26, 2014 ; Last Revised March 26, 2014by Yoshio Mimura, Kobe, Japan
69874
698742± 3 are primes.
Page of Squares : First Upload March 26, 2014 ; Last Revised March 26, 2014by Yoshio Mimura, Kobe, Japan
69888
698882 = (32 - 1)(52 - 1)(152 - 1)(3372 - 1) = (72 - 1)(152 - 1)(252 - 1)(272 - 1).
Page of Squares : First Upload March 26, 2014 ; Last Revised March 26, 2014by Yoshio Mimura, Kobe, Japan
69936
699362± 5 are primes.
Page of Squares : First Upload March 26, 2014 ; Last Revised March 26, 2014by Yoshio Mimura, Kobe, Japan
69964
699642± 3 are primes.
Page of Squares : First Upload March 26, 2014 ; Last Revised March 26, 2014by Yoshio Mimura, Kobe, Japan
69968
699682± 3 are primes.
Page of Squares : First Upload March 26, 2014 ; Last Revised March 26, 2014by Yoshio Mimura, Kobe, Japan
69981
699812± 2 are primes.
Page of Squares : First Upload March 26, 2014 ; Last Revised March 26, 2014by Yoshio Mimura, Kobe, Japan
69984
699842± 5 are primes.
2702 + 69984 = 3782, 2702 - 69984 = 542.
Page of Squares : First Upload October 27, 2012 ; Last Revised March 26, 2014by Yoshio Mimura, Kobe, Japan