75000
3252 + 75000 = 4252, 3252 - 75000 = 1752.
Page of Squares : First Upload November 10, 2012 ; Last Revised November 10, 2012by Yoshio Mimura, Kobe, Japan
75012
A cubic polynomial:
(X + 1122)X + 1472)(X + 3962) = X3 + 4372X2 + 750122X + 65197442.
by Yoshio Mimura, Kobe, Japan
75033
750332± 2 are primes.
Page of Squares : First Upload April 2, 2014 ; Last Revised April 2, 2014by Yoshio Mimura, Kobe, Japan
75034
750342± 3 are primes.
Page of Squares : First Upload April 2, 2014 ; Last Revised April 2, 2014by Yoshio Mimura, Kobe, Japan
75042
750422 = (12 + 2)(22 + 2)(32 + 2)(42 + 2)(12572 + 2) = (12 + 2)(22 + 2)(142 + 2)(12572 + 2)
= (12 + 2)(42 + 2)(82 + 2)(12572 + 2) = (42 + 2)(142 + 2)(12572 + 2).
by Yoshio Mimura, Kobe, Japan
75044
750442± 3 are primes.
Page of Squares : First Upload April 2, 2014 ; Last Revised April 2, 2014by Yoshio Mimura, Kobe, Japan
75051
750512 = 6592 + 6602 + 6612 + ... + 25802.
Page of Squares : First Upload November 10, 2012 ; Last Revised November 10, 2012by Yoshio Mimura, Kobe, Japan
75075
750752 = (42 - 1)(62 - 1)(122 - 1)(2742 - 1) = (62 - 1)(122 - 1)(142 - 1)(762 - 1).
Page of Squares : First Upload April 2, 2014 ; Last Revised April 2, 2014by Yoshio Mimura, Kobe, Japan
75078
750782 = (162 + 2)(172 + 2)(2742 + 2).
Page of Squares : First Upload April 2, 2014 ; Last Revised April 2, 2014by Yoshio Mimura, Kobe, Japan
75140
751402 = (12 + 1)(32 + 1)(42 + 1)(52 + 1)(212 + 1)(382 + 1)
= (12 + 1)(42 + 1)(132 + 1)(212 + 1)(472 + 1) = (12 + 1)(52 + 1)(132 + 1)(212 + 1)(382 + 1).
by Yoshio Mimura, Kobe, Japan
75144
751442± 5 are primes.
Page of Squares : First Upload April 2, 2014 ; Last Revised April 2, 2014by Yoshio Mimura, Kobe, Japan
75153
751532 = 1443 + 1453 + 1463 + 1473 + ... + 3893.
Page of Squares : First Upload November 10, 2012 ; Last Revised November 10, 2012by Yoshio Mimura, Kobe, Japan
75174
751742 = (32 + 2)(202 + 2)(242 + 2)(472 + 2).
Page of Squares : First Upload April 2, 2014 ; Last Revised April 2, 2014by Yoshio Mimura, Kobe, Japan
75240
752402 = (22 - 1)(32 - 1)(42 - 1)(112 - 1)(3622 - 1) = (22 - 1)(42 - 1)(312 - 1)(3622 - 1)
= (22 - 1)(212 - 1)(372 - 1)(562 - 1) = (32 - 1)(42 - 1)(192 - 1)(3622 - 1)
= (42 - 1)(52 - 1)(112 - 1)(3622 - 1) = (112 - 1)(192 - 1)(3622 - 1).
by Yoshio Mimura, Kobe, Japan
75264
2802 + 75264 = 3922, 2802 - 75264 = 562.
Page of Squares : First Upload November 10, 2012 ; Last Revised November 10, 2012by Yoshio Mimura, Kobe, Japan
75276
752762 = (12 + 8)(32 + 8)(142 + 8)(192 + 8)(222 + 8) = (22 + 8)(32 + 8)(372 + 8)(1422 + 8)
= (142 + 8)(372 + 8)(1422 + 8) = (1422 + 8)(5302 + 8).
by Yoshio Mimura, Kobe, Japan
75278
752782 = (42 + 3)(892 + 3)(1942 + 3).
Page of Squares : First Upload April 2, 2014 ; Last Revised April 2, 2014by Yoshio Mimura, Kobe, Japan
75294
752942 = (232 + 5)(292 + 5)(1122 + 5).
Page of Squares : First Upload April 2, 2014 ; Last Revised April 2, 2014by Yoshio Mimura, Kobe, Japan
75328
753282 = (22 + 7)(32 + 7)(52 + 7)(102 + 7)(972 + 7) = (52 + 7)(102 + 7)(132 + 7)(972 + 7)
= (102 + 7)(752 + 7)(972 + 7).
by Yoshio Mimura, Kobe, Japan
75336
753362 = (242 + 8)(322 + 8)(972 + 8).
Page of Squares : First Upload April 2, 2014 ; Last Revised April 2, 2014by Yoshio Mimura, Kobe, Japan
75339
753392± 2 are primes.
Page of Squares : First Upload April 2, 2014 ; Last Revised April 2, 2014by Yoshio Mimura, Kobe, Japan
75372
753722 = (52 + 8)(62 + 8)(19782 + 8) = (382 + 8)(19782 + 8).
Page of Squares : First Upload April 2, 2014 ; Last Revised April 2, 2014by Yoshio Mimura, Kobe, Japan
75400
754002 = (12 + 4)(22 + 4)(32 + 4)(52 + 4)(6142 + 4) = (12 + 4)(22 + 4)(52 + 4)(112 + 4)(1982 + 4)
= (12 + 4)(32 + 4)(42 + 4)(52 + 4)(162 + 4)(242 + 4) = (12 + 4)(32 + 4)(102 + 4)(112 + 4)(822 + 4)
= (12 + 4)(32 + 4)(822 + 4)(1142 + 4) = (12 + 4)(52 + 4)(62 + 4)(292 + 4)(342 + 4)
= (12 + 4)(52 + 4)(102 + 4)(6142 + 4) = (12 + 4)(142 + 4)(292 + 4)(822 + 4)
= (22 + 4)(112 + 4)(292 + 4)(822 + 4) = (32 + 4)(42 + 4)(52 + 4)(242 + 4)(362 + 4)
= (32 + 4)(52 + 4)(62 + 4)(6142 + 4) = (32 + 4)(52 + 4)(102 + 4)(112 + 4)(342 + 4)
= (32 + 4)(52 + 4)(342 + 4)(1142 + 4) = (32 + 4)(342 + 4)(6142 + 4)
= (52 + 4)(142 + 4)(292 + 4)(342 + 4) = (52 + 4)(162 + 4)(242 + 4)(362 + 4)
= (52 + 4)(62 + 4)(112 + 4)(1982 + 4) = (112 + 4)(342 + 4)(1982 + 4).
by Yoshio Mimura, Kobe, Japan
75436
754362± 3 are primes.
Page of Squares : First Upload April 2, 2014 ; Last Revised April 2, 2014by Yoshio Mimura, Kobe, Japan
75444
754442± 5 are primes.
Page of Squares : First Upload April 2, 2014 ; Last Revised April 2, 2014by Yoshio Mimura, Kobe, Japan
75459
754592± 2 are primes.
Page of Squares : First Upload April 2, 2014 ; Last Revised April 2, 2014by Yoshio Mimura, Kobe, Japan
75465
754652± 2 are primes.
Page of Squares : First Upload April 2, 2014 ; Last Revised April 2, 2014by Yoshio Mimura, Kobe, Japan
75544
755442± 3 are primes.
Page of Squares : First Upload April 2, 2014 ; Last Revised April 2, 2014by Yoshio Mimura, Kobe, Japan
75546
755462± 5 are primes.
Page of Squares : First Upload April 2, 2014 ; Last Revised April 2, 2014by Yoshio Mimura, Kobe, Japan
75547
755472 = 14132 + 14152 + 14172 + 14192 + ... + 33332.
Page of Squares : First Upload November 10, 2012 ; Last Revised November 10, 2012by Yoshio Mimura, Kobe, Japan
75576
755762 = 5711731776, 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
75585
755852± 2 are primes.
Page of Squares : First Upload April 2, 2014 ; Last Revised April 2, 2014by Yoshio Mimura, Kobe, Japan
75600
3752 + 75600 = 4652, 3752 - 75600 = 2552.
756002 = (22 - 1)(42 - 1)(52 - 1)(62 - 1)(82 - 1)(492 - 1)
= (22 - 1)(42 - 1)(52 - 1)(62 - 1)(152 - 1)(262 - 1) = (22 - 1)(42 - 1)(82 - 1)(292 - 1)(492 - 1)
= (22 - 1)(42 - 1)(152 - 1)(262 - 1)(292 - 1) = (22 - 1)(62 - 1)(72 - 1)(262 - 1)(412 - 1)
= (22 - 1)(62 - 1)(82 - 1)(192 - 1)(492 - 1) = (22 - 1)(62 - 1)(152 - 1)(192 - 1)(262 - 1)
= (22 - 1)(172 - 1)(262 - 1)(992 - 1) = (42 - 1)(62 - 1)(262 - 1)(1272 - 1)
= (62 - 1)(72 - 1)(82 - 1)(92 - 1)(262 - 1) = (62 - 1)(72 - 1)(262 - 1)(712 - 1)
= (62 - 1)(92 - 1)(262 - 1)(552 - 1) = (62 - 1)(172 - 1)(262 - 1)(292 - 1)
= (82 - 1)(92 - 1)(262 - 1)(412 - 1) = (262 - 1)(412 - 1)(712 - 1).
by Yoshio Mimura, Kobe, Japan
75625
75625 = 2752, a zigzag square.
Page of Squares : First Upload November 10, 2012 ; Last Revised November 10, 2012by Yoshio Mimura, Kobe, Japan
75628
756282 = (162 + 3)(172 + 3)(2752 + 3).
Page of Squares : First Upload April 2, 2014 ; Last Revised April 2, 2014by Yoshio Mimura, Kobe, Japan
75696
756962 = (42 + 8)(182 + 8)(8482 + 8).
Page of Squares : First Upload April 2, 2014 ; Last Revised April 2, 2014by Yoshio Mimura, Kobe, Japan
75726
757262± 5 are primes.
Page of Squares : First Upload April 2, 2014 ; Last Revised April 2, 2014by Yoshio Mimura, Kobe, Japan
75744
757442 = 5737153536, 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
75756
757562± 5 are primes.
Page of Squares : First Upload April 2, 2014 ; Last Revised April 2, 2014by Yoshio Mimura, Kobe, Japan
75759
757592 = 5739426081, a square with different digits.
Page of Squares : First Upload November 10, 2012 ; Last Revised November 10, 2012by Yoshio Mimura, Kobe, Japan
75783
757832± 2 are primes.
Page of Squares : First Upload April 2, 2014 ; Last Revised April 2, 2014by Yoshio Mimura, Kobe, Japan
75788
757882± 3 are primes.
Page of Squares : First Upload April 2, 2014 ; Last Revised April 2, 2014by Yoshio Mimura, Kobe, Japan
75801
758012± 2 are primes.
Page of Squares : First Upload April 2, 2014 ; Last Revised April 2, 2014by Yoshio Mimura, Kobe, Japan
75832
758322± 3 are primes.
Page of Squares : First Upload April 2, 2014 ; Last Revised April 2, 2014by Yoshio Mimura, Kobe, Japan
75850
758502 = (22 + 1)(92 + 1)(322 + 1)(1172 + 1) = (62 + 1)(92 + 1)(322 + 1)(432 + 1)
= (42 + 9)(142 + 9)(192 + 9)(552 + 9).
by Yoshio Mimura, Kobe, Japan
75852
758522 = (12 + 5)(32 + 5)(92 + 5)(172 + 5)(522 + 5).
Page of Squares : First Upload April 2, 2014 ; Last Revised April 2, 2014by Yoshio Mimura, Kobe, Japan
75867
758672 = (52 + 8)(832 + 8)(1592 + 8).
Page of Squares : First Upload April 2, 2014 ; Last Revised April 2, 2014by Yoshio Mimura, Kobe, Japan
75894
758942 = (22 + 3)(62 + 3)(542 + 3)(852 + 3).
Page of Squares : First Upload April 2, 2014 ; Last Revised April 2, 2014by Yoshio Mimura, Kobe, Japan
75904
759042± 3 are primes.
Page of Squares : First Upload April 2, 2014 ; Last Revised April 2, 2014by Yoshio Mimura, Kobe, Japan
75950
759502 = (12 + 6)(132 + 6)(222 + 6)(982 + 6).
Page of Squares : First Upload April 2, 2014 ; Last Revised April 2, 2014by Yoshio Mimura, Kobe, Japan
75966
759662± 5 are primes.
Page of Squares : First Upload April 2, 2014 ; Last Revised April 2, 2014by Yoshio Mimura, Kobe, Japan
75974
759742± 3 are primes.
Page of Squares : First Upload April 2, 2014 ; Last Revised April 2, 2014by Yoshio Mimura, Kobe, Japan
75978
759782 = (22 + 5)(42 + 5)(72 + 5)(142 + 5)(532 + 5) = (142 + 5)(532 + 5)(1012 + 5).
Page of Squares : First Upload April 2, 2014 ; Last Revised April 2, 2014by Yoshio Mimura, Kobe, Japan
75990
759902 = (92 + 9)(172 + 9)(4642 + 9).
Page of Squares : First Upload April 2, 2014 ; Last Revised April 2, 2014by Yoshio Mimura, Kobe, Japan