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4600 - 4699

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, 2008
by 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, 2008
by 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, 2007
by Yoshio Mimura, Kobe, Japan

4611

46112 = 693 + 1013 + 2713.

Page of Squares : First Upload September 1, 2008 ; Last Revised September 1, 2008
by Yoshio Mimura, Kobe, Japan

4614

46142± 5 are primes.

Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014
by 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, 2007
by 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, 2008
by 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, 2011
by 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, 2007
by 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, 2013
by Yoshio Mimura, Kobe, Japan

4624

The square of 68.

Page of Squares : First Upload September 25, 2007 ; Last Revised September 25, 2007
by 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.

Page of Squares : First Upload September 25, 2007 ; Last Revised September 25, 2007
by Yoshio Mimura, Kobe, Japan

4627

46272 = 943 + 2173 + 2183.

Page of Squares : First Upload September 1, 2008 ; Last Revised September 1, 2008
by Yoshio Mimura, Kobe, Japan

4628

46282 = 21418384, a zigzag square.

Page of Squares : First Upload September 25, 2007 ; Last Revised September 25, 2007
by Yoshio Mimura, Kobe, Japan

4629

46292± 2 are primes.

Page of Squares : First Upload December 29, 2013 ; Last Revised December 29, 2013
by 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, 2008
by 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, 2007
by 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, 2007
by 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, 2008
by Yoshio Mimura, Kobe, Japan

4634

46342 = 21473956, a square with different digits.

Page of Squares : First Upload September 25, 2007 ; Last Revised September 25, 2007
by Yoshio Mimura, Kobe, Japan

4635

46352 = 93 + 1843 + 2483 = 743 + 1783 + 2493.

Page of Squares : First Upload September 1, 2008 ; Last Revised September 1, 2008
by 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.

Page of Squares : First Upload September 25, 2007 ; Last Revised September 25, 2007
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, 2007
by Yoshio Mimura, Kobe, Japan

4640

46402 = 1523 + 2043 + 2123.

Page of Squares : First Upload September 1, 2008 ; Last Revised September 1, 2008
by 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, 2008
by 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, 2013
by 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, 2007
by Yoshio Mimura, Kobe, Japan

4647

46472 = 233 + 693 + 2773.

Page of Squares : First Upload September 1, 2008 ; Last Revised September 1, 2008
by Yoshio Mimura, Kobe, Japan

4649

46492 = 363 + 1133 + 2723.

Page of Squares : First Upload September 1, 2008 ; Last Revised September 1, 2008
by Yoshio Mimura, Kobe, Japan

4650

46502 = (32 + 6)(122 + 6)(982 + 6).

Page of Squares : First Upload December 28, 2013 ; Last Revised December 28, 2013
by Yoshio Mimura, Kobe, Japan

4654

46542 = 703 + 993 + 2733.

Page of Squares : First Upload September 1, 2008 ; Last Revised September 1, 2008
by 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, 2010
by 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, 2011
by 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, 2008
by Yoshio Mimura, Kobe, Japan

4659

46592 = 21706281, a zigzag square.

Page of Squares : First Upload September 25, 2007 ; Last Revised September 25, 2007
by 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, 2008
by 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, 2008
by 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, 2007
by 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, 2007
by 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, 2007
by Yoshio Mimura, Kobe, Japan

4668

46682 = (23 + 4)(1223 + 4).

Page of Squares : First Upload December 28, 2013 ; Last Revised December 28, 2013
by 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, 2008
by 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, 2010
by 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, 2014
by 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, 2008
by 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, 2008
by 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, 2013
by 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, 2007
by 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, 2008
by 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, 2008
by 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, 2007
by 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, 2011
by 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, 2008
by 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, 2013
by Yoshio Mimura, Kobe, Japan

4699

46992 = 2773 + 55 + 77.

Page of Squares : First Upload October 15, 2010 ; Last Revised October 15, 2010
by Yoshio Mimura, Kobe, Japan