12000
1302 + 12000 = 1702, 1302 - 12000 = 702.
Page of Squares : First Upload February 25, 2012 ; Last Revised February 25, 2012by Yoshio Mimura, Kobe, Japan
12001
120012 = 144024001 is a reversible square (100420441 = 100212).
Page of Squares : First Upload December 31, 2011 ; Last Revised December 31, 2011by Yoshio Mimura, Kobe, Japan
12002
120022 = 144048004 is a reversible square (400840441 = 200212).
Page of Squares : First Upload December 31, 2011 ; Last Revised December 31, 2011by Yoshio Mimura, Kobe, Japan
12003
120032± 2 are primes.
Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014by Yoshio Mimura, Kobe, Japan
12006
120062 = (712 + 5)(1692 + 5).
Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014by Yoshio Mimura, Kobe, Japan
12010
120102 = 144240100, 144 = 122 and 240100 = 4902.
Page of Squares : First Upload December 31, 2011 ; Last Revised December 31, 2011by Yoshio Mimura, Kobe, Japan
12011
120112 = 144264121 is a reversible square (121462441 = 110212).
Page of Squares : First Upload December 31, 2011 ; Last Revised December 31, 2011by Yoshio Mimura, Kobe, Japan
12012
120122 = 144288144 is a reversible square (441882441 = 210212).
120122 = 144288144, 121 = 112 and 484 = 484 = 222.
Page of Squares : First Upload December 31, 2011 ; Last Revised December 31, 2011by Yoshio Mimura, Kobe, Japan
12018
120182 = 144432324, a square every digit of which is non-zero and smaller than 5.
Page of Squares : First Upload September 18, 2013 ; Last Revised September 18, 2013by Yoshio Mimura, Kobe, Japan
12025
120252 = 144600625, 144 = 122 and 600625 = 7752.
120252 = 604 + 754 + 1004.
Page of Squares : First Upload December 31, 2011 ; Last Revised December 31, 2011by Yoshio Mimura, Kobe, Japan
12054
120542 = (172 + 5)(7032 + 5) = (32 + 5)(42 + 5)(7032 + 5).
Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014by Yoshio Mimura, Kobe, Japan
12069
120692± 2 are primes.
Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014by Yoshio Mimura, Kobe, Japan
12075
120752 = (42 - 1)(62 - 1)(222 - 1)(242 - 1).
Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014by Yoshio Mimura, Kobe, Japan
12078
120782 = 648 * 649 + 649 * 650 + 650 * 651 + ... + 891 * 892.
Page of Squares : First Upload December 31, 2011 ; Last Revised December 31, 2011by Yoshio Mimura, Kobe, Japan
12096
120962 = (132 - 1)(172 - 1)(552 - 1) = (22 - 1)(552 - 1)(1272 - 1) = (22 - 1)(72 - 1)(82 - 1)(1272 - 1)
= (72 - 1)(82 - 1)(132 - 1)(172 - 1) = (13 + 8)(43 + 8)(63 + 8)(103 + 8).
1502 + 12096 = 1862, 1502 - 12096 = 1022.
Page of Squares : First Upload February 25, 2012 ; Last Revised January 18, 2014by Yoshio Mimura, Kobe, Japan
12098
(120982 - 4) = (32 - 4)(42 - 4)(92 - 4)(132 - 4)(142 - 4).
Page of Squares : First Upload December 31, 2011 ; Last Revised December 31, 2011by Yoshio Mimura, Kobe, Japan
12100
121002± 3 are primes.
Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014by Yoshio Mimura, Kobe, Japan
12101
121012 = 146434201 is a reversible square (102434641 = 101212).
Page of Squares : First Upload December 31, 2011 ; Last Revised December 31, 2011by Yoshio Mimura, Kobe, Japan
12102
121022± 5 are primes.
121022 = 146458404 is a reversible square (404854641 = 201212).
Page of Squares : First Upload December 31, 2011 ; Last Revised January 18, 2014by Yoshio Mimura, Kobe, Japan
12111
121112 = 146676321 is a reversible square (123676641 = 111212).
Page of Squares : First Upload December 31, 2011 ; Last Revised December 31, 2011by Yoshio Mimura, Kobe, Japan
12123
121232± 2 are primes.
Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014by Yoshio Mimura, Kobe, Japan
12144
2652 + 12144 = 2872, 2652 - 12144 = 2412.
Page of Squares : First Upload February 25, 2012 ; Last Revised February 25, 2012by Yoshio Mimura, Kobe, Japan
12149
12 + 22 + 32 + 42 + ... + 121492 = 597797315775, which consists of odd digits (the unique 12-digit sum).
Page of Squares : First Upload December 31, 2011 ; Last Revised December 31, 2011by Yoshio Mimura, Kobe, Japan
12165
121652 = 613 + 843 + 933 + 5273.
Page of Squares : First Upload December 31, 2011 ; Last Revised December 31, 2011by Yoshio Mimura, Kobe, Japan
12177
121772 = (12 + 2)(52 + 2)(192 + 2)(712 + 2).
Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014by Yoshio Mimura, Kobe, Japan
12180
121802 = (32 + 5)(52 + 5)(132 + 5)(452 + 5).
Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014by Yoshio Mimura, Kobe, Japan
12189
121892± 2 are primes.
Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014by Yoshio Mimura, Kobe, Japan
12192
121922 = 148644864.
Page of Squares : First Upload December 31, 2011 ; Last Revised December 31, 2011by Yoshio Mimura, Kobe, Japan
12200
122002 = (12 + 4)(62 + 4)(222 + 4)(392 + 4) = (142 + 4)(222 + 4)(392 + 4).
122002 = 337 * 338 + 339 * 340 + 341 * 342 + 343 * 344 + ... + 975 * 976.
Page of Squares : First Upload December 31, 2011 ; Last Revised January 18, 2014by Yoshio Mimura, Kobe, Japan
12201
122012 = 148864401 is a reversible square (104468841 = 102212).
Page of Squares : First Upload December 31, 2011 ; Last Revised December 31, 2011by Yoshio Mimura, Kobe, Japan
12202
122022 = 148864404 is a reversible square (404468841 = 202212).
Page of Squares : First Upload December 31, 2011 ; Last Revised December 31, 2011by Yoshio Mimura, Kobe, Japan
12212
122122 = (62 + 7)(82 + 7)(2212 + 7).
Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014by Yoshio Mimura, Kobe, Japan
12230
122302± 3 are primes.
Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014by Yoshio Mimura, Kobe, Japan
12240
122402 = (32 - 1)(162 - 1)(2712 - 1).
Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014by Yoshio Mimura, Kobe, Japan
12244
122442± 3 are primes.
Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014by Yoshio Mimura, Kobe, Japan
12250
122502 = (22 + 6)(82 + 6)(4632 + 6).
Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014by Yoshio Mimura, Kobe, Japan
12252
122522± 5 are primes.
Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014by Yoshio Mimura, Kobe, Japan
12259
122592 = S2(131) + S2(765), where S2(n) = 12 + 22 + 32 + ... + n2.
Page of Squares : First Upload December 31, 2011 ; Last Revised December 31, 2011by Yoshio Mimura, Kobe, Japan
12264
122642 = 171*172*173 + 173*174*175 + 175*176*177 + 177*178*179 + ... + 211*212*213.
Page of Squares : First Upload October 26, 2103 ; Last Revised October 26, 2103by Yoshio Mimura, Kobe, Japan
12270
122702 = 73 + 363 + 1493 + 5283.
Page of Squares : First Upload December 31, 2011 ; Last Revised December 31, 2011by Yoshio Mimura, Kobe, Japan
12261
122612 = 10492 + 10502 + 10512 + ... + 11702.
Page of Squares : First Upload December 31, 2011 ; Last Revised December 31, 2011by Yoshio Mimura, Kobe, Japan
12274
122742± 3 are primes.
Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014by Yoshio Mimura, Kobe, Japan
12285
122852 = (22 - 1)(82 - 1)(142 - 1)(642 - 1).
Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014by Yoshio Mimura, Kobe, Japan
12294
122942 = (12 + 5)(22 + 5)(16732 + 5) = (72 + 5)(16732 + 5).
Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014by Yoshio Mimura, Kobe, Japan
12312
123122 = (12 + 8)(72 + 8)(122 + 8)(442 + 8) = (12 + 8)(72 + 8)(82 + 8)(642 + 8).
Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014by Yoshio Mimura, Kobe, Japan
12321
12321 is a palindromic square (1112) pegged by 2.
Page of Squares : First Upload December 31, 2011 ; Last Revised December 31, 2011by Yoshio Mimura, Kobe, Japan
12322
123222 = (102 + 1)(112 + 1)(1112 + 1).
Page of Squares : First Upload November 9, 2013 ; Last Revised November 9, 2013by Yoshio Mimura, Kobe, Japan
12324
123242 = (32 + 3)(322 + 3)(1112 + 3).
Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014by Yoshio Mimura, Kobe, Japan
12325
123252 = (12 + 4)(52 + 4)(92 + 4)(1112 + 4).
Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014by Yoshio Mimura, Kobe, Japan
12328
123282 = (42 + 7)(232 + 7)(1112 + 7).
Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014by Yoshio Mimura, Kobe, Japan
12330
123302 = (32 + 9)(262 + 9)(1112 + 9).
Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014by Yoshio Mimura, Kobe, Japan
12334
123342 = 152127556, and 1521 = 392, 27556 = 1662.
Page of Squares : First Upload December 31, 2011 ; Last Revised December 31, 2011by Yoshio Mimura, Kobe, Japan
12335
123352 = 152152225 is a square consisting of 3 kinds of digits (1,2,5).
Page of Squares : First Upload December 31, 2011 ; Last Revised December 31, 2011by Yoshio Mimura, Kobe, Japan
12342
123422 = (32 + 2)(82 + 2)(192 + 2)(242 + 2).
Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014by Yoshio Mimura, Kobe, Japan
12362
123622± 3 are primes.
Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014by Yoshio Mimura, Kobe, Japan
12363
123632 = 152843769 is a square of different digits.
Page of Squares : First Upload December 31, 2011 ; Last Revised December 31, 2011by Yoshio Mimura, Kobe, Japan
12388
123882 = (12 + 3)(42 + 3)(14212 + 3).
Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014by Yoshio Mimura, Kobe, Japan
12390
123902 = (12 + 6)(62 + 6)(172 + 6)(422 + 6) = (32 + 6)(422 + 6)(762 + 6).
Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014by Yoshio Mimura, Kobe, Japan
12400
124002= 431 * 432 + 432 * 433 + 433 * 434 + ... + 814 * 815.
Page of Squares : First Upload December 31, 2011 ; Last Revised December 31, 2011by Yoshio Mimura, Kobe, Japan
12412
124122± 3 are primes.
Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014by Yoshio Mimura, Kobe, Japan
12420
124202 = (12 + 5)(52 + 5)(152 + 5)(612 + 5) = (12 + 5)(52 + 5)(72 + 5)(82 + 5)(152 + 5).
Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014by Yoshio Mimura, Kobe, Japan
12432
124322 = (12 + 3)(32 + 3)(52 + 3)(162 + 3)(212 + 3).
Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014by Yoshio Mimura, Kobe, Japan
12443
124432 = 2552 + 2562 + 2572 + ... + 7832.
Page of Squares : First Upload December 31, 2011 ; Last Revised December 31, 2011by Yoshio Mimura, Kobe, Japan
12452
124522 is the sum of (23m + 7) for m = 0,1,2,...,95.
Page of Squares : First Upload December 31, 2011 ; Last Revised December 31, 2011by Yoshio Mimura, Kobe, Japan
12456
124562 = 155151936, 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
12464
124642± 3 are primes.
Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014by Yoshio Mimura, Kobe, Japan
12477
(124772 - 9) = (52 - 9)(62 - 9)(82 - 9)(92 - 9)(102 - 9).
Page of Squares : First Upload December 31, 2011 ; Last Revised December 31, 2011by Yoshio Mimura, Kobe, Japan
12480
124802 = (42 - 1)(252 - 1)(1292 - 1) = (72 - 1)(142 - 1)(1292 - 1).
Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014by Yoshio Mimura, Kobe, Japan
12491
124912 = 156025081, and 156025 = 3952, 81 = 92.
Page of Squares : First Upload December 31, 2011 ; Last Revised December 31, 2011by Yoshio Mimura, Kobe, Japan
12496
124962 = (22 + 7)(52 + 7)(82 + 7)(792 + 7) = (52 + 7)(22092 + 7) = (82 + 7)(14832 + 7).
Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014by Yoshio Mimura, Kobe, Japan
12500
125002 = 156250000, and 1 = 12, 56250000 = 75002.
Page of Squares : First Upload December 31, 2011 ; Last Revised December 31, 2011by Yoshio Mimura, Kobe, Japan
12540
125402 = (42 - 1)(92 - 1)(3622 - 1).
Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014by Yoshio Mimura, Kobe, Japan
12543
125432 = 157326849 is a square consisting of different digits.
Page of Squares : First Upload December 31, 2011 ; Last Revised December 31, 2011by Yoshio Mimura, Kobe, Japan
12544
125442 = 157351936, 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
12546
125462 = (12 + 2)(42 + 2)(242 + 2)(712 + 2) = (102 + 2)(112 + 2)(1122 + 2)
= (22 + 2)(72 + 2)(102 + 2)(712 + 2).
by Yoshio Mimura, Kobe, Japan
12550
125502± 3 are primes.
Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014by Yoshio Mimura, Kobe, Japan
12556
125562 = (132 + 3)(172 + 3)(562 + 3).
Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014by Yoshio Mimura, Kobe, Japan
12580
125802 = (42 + 4)(92 + 4)(122 + 4)(252 + 4).
Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014by Yoshio Mimura, Kobe, Japan
12582
125822 = 158306724 is a square consisting of different digits.
Page of Squares : First Upload December 31, 2011 ; Last Revised December 31, 2011by Yoshio Mimura, Kobe, Japan
12586
125862 = 158407396 is a square consisting of different digits.
Page of Squares : First Upload December 31, 2011 ; Last Revised December 31, 2011by Yoshio Mimura, Kobe, Japan
12592
125922± 3 are primes.
Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014by Yoshio Mimura, Kobe, Japan
12600
126002 = (22 - 1)(292 - 1)(2512 - 1) = (22 - 1)(32 - 1)(262 - 1)(992 - 1)
= (22 - 1)(42 - 1)(192 - 1)(992 - 1) = (22 - 1)(42 - 1)(62 - 1)(112 - 1)(292 - 1)
= (22 - 1)(52 - 1)(62 - 1)(2512 - 1) = (32 - 1)(62 - 1)(262 - 1)(292 - 1) = (42 - 1)(132 - 1)(2512 - 1)
= (42 - 1)(62 - 1)(192 - 1)(292 - 1) = (52 - 1)(262 - 1)(992 - 1).
by Yoshio Mimura, Kobe, Japan
12610
126102 = (12 + 9)(312 + 9)(1282 + 9).
Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014by Yoshio Mimura, Kobe, Japan
12642
126422 = (22 + 3)(122 + 3)(132 + 3)(302 + 3) = (22 + 3)(302 + 3)(1592 + 3).
Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014by Yoshio Mimura, Kobe, Japan
12648
126482± 5 are primes.
Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014by Yoshio Mimura, Kobe, Japan
12650
126502 = 160022500, and 1600 = 402, 22500 = 1502.
Page of Squares : First Upload December 31, 2011 ; Last Revised December 31, 2011by Yoshio Mimura, Kobe, Japan
12652
126522± 3 are primes.
Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014by Yoshio Mimura, Kobe, Japan
12664
126642± 3 are primes.
Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014by Yoshio Mimura, Kobe, Japan
12672
126722 = (22 - 1)(52 - 1)(232 - 1)(652 - 1) = (32 - 1)(72 - 1)(102 - 1)(652 - 1).
Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014by Yoshio Mimura, Kobe, Japan
12691
126912 = 6853 - 6843 + 6833 - 6823 + .. + 13.
Page of Squares : First Upload December 31, 2011 ; Last Revised December 31, 2011by Yoshio Mimura, Kobe, Japan
12696
1152 + 12696 = 1612, 1152 - 12696 = 232.
Page of Squares : First Upload February 25, 2012 ; Last Revised February 25, 2012by Yoshio Mimura, Kobe, Japan
12705
127052 = (32 + 6)(72 + 6)(152 + 6)(292 + 6).
127052 = 4212 + 4232 + 4252 + 4272 + ... + 1013^2.
Page of Squares : First Upload December 31, 2011 ; Last Revised January 18, 2014by Yoshio Mimura, Kobe, Japan
12708
A cubic polynomial:
(X + 92)(X + 282)(X + 4322) = X3 + 4332X2 + 127082X + 1088642.
by Yoshio Mimura, Kobe, Japan
12716
127162± 3 are primes.
Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014by Yoshio Mimura, Kobe, Japan
12723
127232 = 63 + 743 + 2983 + 5133.
Page of Squares : First Upload December 31, 2011 ; Last Revised December 31, 2011by Yoshio Mimura, Kobe, Japan
12728
127282 = (62 + 7)(19412 + 7).
Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014by Yoshio Mimura, Kobe, Japan
12740
127402± 3 are primes.
127402 = (12 + 23 + 33 + ... + 242)(252 + 263 + 273 + ... + 482).
Page of Squares : First Upload February 9, 2013 ; Last Revised January 18, 2014by Yoshio Mimura, Kobe, Japan
12750
127502 = (42 + 9)(52 + 9)(92 + 9)(462 + 9) = (92 + 9)(292 + 9)(462 + 9).
Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014by Yoshio Mimura, Kobe, Japan
12768
127682 = (12 + 3)(32 + 3)(52 + 3)(152 + 3)(232 + 3).
Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014by Yoshio Mimura, Kobe, Japan
12769
12769 is a square (1132) consisting of different digits.
Page of Squares : First Upload December 31, 2011 ; Last Revised December 31, 2011by Yoshio Mimura, Kobe, Japan
12771
127712 = (12 + 8)(172 + 8)(2472 + 8).
Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014by Yoshio Mimura, Kobe, Japan
12772
127722 = (102 + 3)(112 + 3)(1132 + 3).
Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014by Yoshio Mimura, Kobe, Japan
12782
127822 = (12 + 6)(42 + 6)(10302 + 6).
Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014by Yoshio Mimura, Kobe, Japan
12787
127872 = 1172 + 1182 + 1192 + ... + 7892.
Page of Squares : First Upload December 31, 2011 ; Last Revised December 31, 2011by Yoshio Mimura, Kobe, Japan
12804
128042± 5 are primes.
128042 = 5902 + 5912 + 5922 + ... + 8862.
Page of Squares : First Upload December 31, 2011 ; Last Revised January 18, 2014by Yoshio Mimura, Kobe, Japan
12805
128052 = (22 + 1)(142 + 1)(4082 + 1).
Page of Squares : First Upload November 9, 2013 ; Last Revised November 9, 2013by Yoshio Mimura, Kobe, Japan
12816
128162 = (22 + 8)(42 + 8)(92 + 8)(802 + 8) = (22 + 8)(82 + 8)(4362 + 8).
Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014by Yoshio Mimura, Kobe, Japan
12818
128182 = (22 + 9)(52 + 9)(72 + 9)(802 + 9).
Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014by Yoshio Mimura, Kobe, Japan
12845
128452 = 17922 + 17932 + 17942 + ... + 18412.
Page of Squares : First Upload December 31, 2011 ; Last Revised December 31, 2011by Yoshio Mimura, Kobe, Japan
12862
128622± 3 are primes.
Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014by Yoshio Mimura, Kobe, Japan
12869
128692 = 165611161 is a square consisting of 3 kinds of digits (1,5,6).
Page of Squares : First Upload December 31, 2011 ; Last Revised December 31, 2011by Yoshio Mimura, Kobe, Japan
12908
129082 = 166616464 is a square consisting of 3 kinds of digits (1,4,6).
129082 = 166616464 is a square pegged by 6.
Page of Squares : First Upload December 31, 2011 ; Last Revised December 31, 2011by Yoshio Mimura, Kobe, Japan
12942
129422± 5 are primes.
Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014by Yoshio Mimura, Kobe, Japan
12963
(129632 + 6) = (12 + 6)(32 + 6)(52 + 6)(132 + 6)(172 + 6).
Page of Squares : First Upload December 31, 2011 ; Last Revised December 31, 2011by Yoshio Mimura, Kobe, Japan
12966
129662± 5 are primes.
Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014by Yoshio Mimura, Kobe, Japan
12978
129782 = (12 + 5)(112 + 5)(4722 + 5) = (12 + 5)(22 + 5)(32 + 5)(4722 + 5)
= (32 + 5)(72 + 5)(4722 + 5).
by Yoshio Mimura, Kobe, Japan
12987
129872± 2 are primes.
129872 = 432 + 452 + 472 + 492 + ... + 10032.
Page of Squares : First Upload December 31, 2011 ; Last Revised January 18, 2014by Yoshio Mimura, Kobe, Japan
12992
129922 = (12 + 7)(142 + 7)(152 + 7)(212 + 7) = (12 + 7)(212 + 7)(2172 + 7)
= (12 + 7)(72 + 7)(142 + 7)(432 + 7) = (142 + 7)(212 + 7)(432 + 7).
by Yoshio Mimura, Kobe, Japan
12996
12996(1142) --> 1296(362) --> 196(142) --> 16(42) --> 1(12).
Page of Squares : First Upload December 31, 2011 ; Last Revised December 31, 2011by Yoshio Mimura, Kobe, Japan
12998
129982± 3 are primes.
Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014by Yoshio Mimura, Kobe, Japan