4605
46052 = 1113 + 1933 + 2333.
1 / 4605 = 0.000217155266015, 212 + 72 + 152 + 52 + 22 + 62 + 602 + 152 = 4605.
Page of Squares : First Upload September 25, 2007 ; Last Revised September 1, 2008by Yoshio Mimura, Kobe, Japan
4608
46082 = 1923 + 1923 + 1923 = 484 + 484 + 484 + 484.
46082 = 21233664, and 2 * 1 * 2336 - 64 = 4608.
Page of Squares : First Upload September 25, 2007 ; Last Revised September 1, 2008by Yoshio Mimura, Kobe, Japan
4609
46092 = 21242881, and 2 * 1 * 2 * 4 * 288 + 1 = 4609.
Page of Squares : First Upload September 25, 2007 ; Last Revised September 25, 2007by Yoshio Mimura, Kobe, Japan
4611
46112 = 693 + 1013 + 2713.
Page of Squares : First Upload September 1, 2008 ; Last Revised September 1, 2008by Yoshio Mimura, Kobe, Japan
4614
46142± 5 are primes.
Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014by Yoshio Mimura, Kobe, Japan
4615
46152 = 6282 + 6292 + 6302 + 6312 + 6322 + 6332 + ... + 6772.
Page of Squares : First Upload September 25, 2007 ; Last Revised September 25, 2007by Yoshio Mimura, Kobe, Japan
4616
46162 = 223 + 353 + 2773 = 603 + 1723 + 2523.
46162 = 21307456, a square with different digits.
Page of Squares : First Upload September 25, 2007 ; Last Revised September 1, 2008by Yoshio Mimura, Kobe, Japan
4617
46172 = 21316689, and 2 * 1 * 3 * 16 * 6 * 8 + 9 = 4617.
46172 = 40 + 42 + 43 + 45 + 47 + 48 + 49 + 411 + 412.
Page of Squares : First Upload September 25, 2007 ; Last Revised August 30, 2011by Yoshio Mimura, Kobe, Japan
4618
46182 = 21325924, and 22 + 12 + 32 + 22 + 52 + 92 + 22 + 42 = 122.
46182 = 21325924, and 2 + 1 - 3 - 2 + 5 * 924 = 4618.
Page of Squares : First Upload September 25, 2007 ; Last Revised September 25, 2007by Yoshio Mimura, Kobe, Japan
4620
46202 = (12 + 6)(22 + 6)(42 + 6)(62 + 6)(182 + 6) = (22 + 6)(42 + 6)(62 + 6)(482 + 6)
= (42 + 6)(62 + 6)(82 + 6)(182 + 6) = (62 - 1)(232 - 1)(342 - 1).
46202 = 523 + 953 + 2733.
46202 = 1062 + 1072 + 1082 + 1092 + 1102 + 1112 + ... + 4022.
46202 = 45 x 46 x 47 + 47 x 48 x 49 + 49 x 50 x 51 + 51 x 52 x 53 + ... + 113 x 114 x 115.
The integral triangle of sides 30497, 41508, 71995 (or 2410, 144009, 146401) has square area 46202.
Page of Squares : First Upload September 25, 2007 ; Last Revised December 28, 2013by Yoshio Mimura, Kobe, Japan
4624
The square of 68.
Page of Squares : First Upload September 25, 2007 ; Last Revised September 25, 2007by Yoshio Mimura, Kobe, Japan
4625
1 / 4625 = 0.000216216216216, 22 + 12 + 622 + 162 + 22 + 162 + 22 + 162 = 4625,
1 / 4625 = 0.000216216216216, 22 + 162 + 22 + 12 + 622 + 162 + 22 + 162 = 4625,
1 / 4625 = 0.000216216216216, 22 + 162 + 22 + 162 + 22 + 12 + 622 + 162 = 4625.
by Yoshio Mimura, Kobe, Japan
4627
46272 = 943 + 2173 + 2183.
Page of Squares : First Upload September 1, 2008 ; Last Revised September 1, 2008by Yoshio Mimura, Kobe, Japan
4628
46282 = 21418384, a zigzag square.
Page of Squares : First Upload September 25, 2007 ; Last Revised September 25, 2007by Yoshio Mimura, Kobe, Japan
4629
46292± 2 are primes.
Page of Squares : First Upload December 29, 2013 ; Last Revised December 29, 2013by Yoshio Mimura, Kobe, Japan
4630
46305 = 2127673355854300000 : 22 + 122 + 72 + 62 + 72 + 32 + 32 + 52 + 582 + 52 + 42 + 302 + 02 + 02 + 02 + 02 = 4630.
Page of Squares : First Upload December 8, 2008 ; Last Revised December 8, 2008by Yoshio Mimura, Kobe, Japan
4631
The square root of 4631 is 68.051451..., and 68 = 02 + 52 + 12 + 42 + 52 + 12.
46312 = 21446161, and 2 + 14 + 4616 - 1 = 4631.
Page of Squares : First Upload September 25, 2007 ; Last Revised September 25, 2007by Yoshio Mimura, Kobe, Japan
4632
46322 = 21455424, and 21 * 4 * 55 + 4 + 2 * 4 = 21 * 4 * 55 + 4 * 2 + 4 = 4632.
Page of Squares : First Upload September 25, 2007 ; Last Revised September 25, 2007by Yoshio Mimura, Kobe, Japan
4633
46335 = 2134575404624518393 : 22 + 12 + 32 + 452 + 72 + 52 + 42 + 02 + 42 + 62 + 22 + 452 + 182 + 32 + 92 + 32 = 4633.
Page of Squares : First Upload December 8, 2008 ; Last Revised December 8, 2008by Yoshio Mimura, Kobe, Japan
4634
46342 = 21473956, a square with different digits.
Page of Squares : First Upload September 25, 2007 ; Last Revised September 25, 2007by Yoshio Mimura, Kobe, Japan
4635
46352 = 93 + 1843 + 2483 = 743 + 1783 + 2493.
Page of Squares : First Upload September 1, 2008 ; Last Revised September 1, 2008by Yoshio Mimura, Kobe, Japan
4636
1 / 4636 = 0.0002157031924, 212 + 572 + 02 + 32 + 192 + 242 = 4636,
1 / 4636 = 0.0002157031924, 212+572 + 032 + 192 + 242 = 4636.
by Yoshio Mimura, Kobe, Japan
4638
46382 = 21511044, and 22 + 12 + 52 + 12 + 12 + 02 + 42 + 42 = 82.
Page of Squares : First Upload September 25, 2007 ; Last Revised September 25, 2007by Yoshio Mimura, Kobe, Japan
4640
46402 = 1523 + 2043 + 2123.
Page of Squares : First Upload September 1, 2008 ; Last Revised September 1, 2008by Yoshio Mimura, Kobe, Japan
4642
46422 = 74 + 494 + 534 + 534.
46422 = 21548164, a zigzag square.
Page of Squares : First Upload September 25, 2007 ; Last Revised September 1, 2008by Yoshio Mimura, Kobe, Japan
4644
46442 = (22 + 8)(112 + 8)(1182 + 8).
46442 = 1833 + 2493.
46442 = 21566736, and 22 + 12 + 52 + 62 + 62 + 72 + 32 + 62 = 142.
46445 = 2160036328265524224 : 22 + 12 + 62 + 02 + 02 + 362 + 32 + 282 + 262 + 52 + 52 + 22 + 422 + 22 + 42 = 4644.
Page of Squares : First Upload September 25, 2007 ; Last Revised December 28, 2013by Yoshio Mimura, Kobe, Japan
4645
46452 = 21576025, and 22 + 12 + 52 + 72 + 62 + 02 + 22 + 52 = 122.
Page of Squares : First Upload September 25, 2007 ; Last Revised September 25, 2007by Yoshio Mimura, Kobe, Japan
4647
46472 = 233 + 693 + 2773.
Page of Squares : First Upload September 1, 2008 ; Last Revised September 1, 2008by Yoshio Mimura, Kobe, Japan
4649
46492 = 363 + 1133 + 2723.
Page of Squares : First Upload September 1, 2008 ; Last Revised September 1, 2008by Yoshio Mimura, Kobe, Japan
4650
46502 = (32 + 6)(122 + 6)(982 + 6).
Page of Squares : First Upload December 28, 2013 ; Last Revised December 28, 2013by Yoshio Mimura, Kobe, Japan
4654
46542 = 703 + 993 + 2733.
Page of Squares : First Upload September 1, 2008 ; Last Revised September 1, 2008by Yoshio Mimura, Kobe, Japan
4655
Komachi equations: 46552 = 982 * 762 * 52 * 42 / 322 */ 12.
Page of Squares : First Upload October 15, 2010 ; Last Revised October 15, 2010by Yoshio Mimura, Kobe, Japan
4656
46562 + 46572 + 46582 + ... + 47042 = 47052 + 47062 + 47072 + ... + 47522.
Page of Squares : First Upload September 13, 2011 ; Last Revised September 13, 2011by Yoshio Mimura, Kobe, Japan
4658
46582 = 374 + 414 + 474 + 594.
46582 = 496 x 497 + 498 x 499 + 500 x 501 + 502 x 503 + ... + 630 x 631.
Page of Squares : First Upload September 25, 2007 ; Last Revised September 1, 2008by Yoshio Mimura, Kobe, Japan
4659
46592 = 21706281, a zigzag square.
Page of Squares : First Upload September 25, 2007 ; Last Revised September 25, 2007by Yoshio Mimura, Kobe, Japan
4661
46612 = 1643 + 1693 + 2323.
1 / 4661 = 0.00021454623471, 212 + 452 + 462 + 22 + 32 + 42 + 72 + 12 = 4661.
Page of Squares : First Upload September 25, 2007 ; Last Revised September 1, 2008by Yoshio Mimura, Kobe, Japan
4662
46622 = 923 + 1533 + 2593.
46622 = (24 + 25)2 + (26 + 27)2 + (28 + 29)2 + (30 + 31)2 + ... + (318 + 319)2.
Page of Squares : First Upload September 25, 2007 ; Last Revised September 1, 2008by Yoshio Mimura, Kobe, Japan
4663
46632 = 21743569, a square with different digits.
The square root of 4663 is 68.28..., 68 = 22 + 82.
Page of Squares : First Upload September 25, 2007 ; Last Revised September 25, 2007by Yoshio Mimura, Kobe, Japan
4664
46642 = 21752896, and 2 * 17 * 5 * 28 - 96 = 4664.
Page of Squares : First Upload September 25, 2007 ; Last Revised September 25, 2007by Yoshio Mimura, Kobe, Japan
4665
46652 = 21762225, and 21 / 7 * 622 / 2 * 5 = 4665.
Page of Squares : First Upload September 25, 2007 ; Last Revised September 25, 2007by Yoshio Mimura, Kobe, Japan
4668
46682 = (23 + 4)(1223 + 4).
Page of Squares : First Upload December 28, 2013 ; Last Revised December 28, 2013by Yoshio Mimura, Kobe, Japan
4671
46712 = 963 + 2013 + 2343.
46712 = 21818241, a zigzag square.
Page of Squares : First Upload September 25, 2007 ; Last Revised September 1, 2008by Yoshio Mimura, Kobe, Japan
4672
46722 = 21827584, a zigzag square.
Komachi equations: 46722 = 92 * 8762 / 542 * 322 */ 12.
Page of Squares : First Upload September 25, 2007 ; Last Revised October 15, 2010by Yoshio Mimura, Kobe, Japan
4674
46742 = 21846276, a zigzag square.
46742± 5 are primes.
Page of Squares : First Upload September 25, 2007 ; Last Revised January 18, 2014by Yoshio Mimura, Kobe, Japan
4675
46755 = 2233099508857421875 : 222 + 32 + 302 + 92 + 92 + 502 + 82 + 82 + 52 + 72 + 42 + 22 + 182 + 72 + 52 = 4675.
Page of Squares : First Upload December 8, 2008 ; Last Revised December 8, 2008by Yoshio Mimura, Kobe, Japan
4676
46765 = 2235488872547173376 : 22 + 22 + 32 + 52 + 482 + 82 + 82 + 72 + 252 + 42 + 72 + 172 + 332 + 72 + 62 = 222 + 352 + 482 + 82 + 82 + 72 + 22 + 52 + 42 + 72 + 172 + 32 + 32 + 72 + 62 = 4676.
Page of Squares : First Upload December 8, 2008 ; Last Revised December 8, 2008by Yoshio Mimura, Kobe, Japan
4680
46802 = (22 - 1)(512 - 1)(532 - 1).
4680 = (12 + 22 + 32 + ... + 1752) / (12 + 22 + 32 + ... + 102).
Page of Squares : First Upload November 25, 2008 ; Last Revised December 28, 2013by Yoshio Mimura, Kobe, Japan
4683
46832 = 21930489, and 22 + 12 + 92 + 32 + 02 + 42 + 82 + 92 = 162.
Page of Squares : First Upload September 25, 2007 ; Last Revised September 25, 2007by Yoshio Mimura, Kobe, Japan
4684
46842 = 21939856, and 2 - 1 + 93 + 9 * 85 * 6 = 4684.
The quadratic polynomial 4684X2 - 27468X + 46809 takes the values 1552, 1032, 812, 1092, 1632, 2252 at X = 1, 2,..., 6,
Page of Squares : First Upload September 25, 2007 ; Last Revised December 15, 2008by Yoshio Mimura, Kobe, Japan
4686
46862 = 163 + 1053 + 2753.
46862 = 21958596, a zigzag square.
46862 = 21958596, 2 - 1 + 95 + 85 * 9 * 6 = 4686.
Page of Squares : First Upload September 25, 2007 ; Last Revised September 1, 2008by Yoshio Mimura, Kobe, Japan
4688
46882 = 21977344, and 22 + 12 + 92 + 72 + 72 + 32 + 42 + 42 = 152.
Page of Squares : First Upload September 25, 2007 ; Last Revised September 25, 2007by Yoshio Mimura, Kobe, Japan
4690
830k + 2010k + 4570k + 4690k are squares for k = 1,2,3 (1102, 69002, 4553002).
Page of Squares : First Upload June 14, 2011 ; Last Revised June 14, 2011by Yoshio Mimura, Kobe, Japan
4692
46925 = 2273997679715423232 : 222 + 72 + 392 + 92 + 72 + 62 + 72 + 92 + 72 + 152 + 42 + 22 + 322 + 322 = 4692.
Page of Squares : First Upload December 8, 2008 ; Last Revised December 8, 2008by Yoshio Mimura, Kobe, Japan
4698
46982 = (22 + 5)(72 + 5)(132 + 5)(162 + 5).
46982 = 214 + 474 + 474 + 594.
Komachi equations: 46982 = 92 * 872 / 62 * 542 / 32 * 22 */ 12.
Page of Squares : First Upload September 1, 2008 ; Last Revised December 28, 2013by Yoshio Mimura, Kobe, Japan
4699
46992 = 2773 + 55 + 77.
Page of Squares : First Upload October 15, 2010 ; Last Revised October 15, 2010by Yoshio Mimura, Kobe, Japan