17000
170002 = (12 + 4)(22 + 4)(92 + 4)(112 + 4)(262 + 4) = (62 + 4)(92 + 4)(112 + 4)(262 + 4).
Page of Squares : First Upload February 1, 2014 ; Last Revised February 1, 2014by Yoshio Mimura, Kobe, Japan
17010
170102 = (12 + 5)(22 + 5)(102 + 5)(112 + 5)(202 + 5) = (12 + 5)(22 + 5)(202 + 5)(1152 + 5)
= (12 + 5)(22 + 5)(42 + 5)(202 + 5)(252 + 5) = (12 + 5)(42 + 5)(72 + 5)(102 + 5)(202 + 5)
= (22 + 5)(112 + 5)(202 + 5)(252 + 5) = (22 + 5)(32 + 5)(72 + 5)(102 + 5)(202 + 5)
= (22 + 5)(42 + 5)(52 + 5)(112 + 5)(202 + 5) = (22 + 5)(52 + 5)(102 + 5)(1012 + 5)
= (32 + 5)(52 + 5)(8302 + 5) = (42 + 5)(72 + 5)(202 + 5)(252 + 5)
= (72 + 5)(102 + 5)(112 + 5)(202 + 5) = (72 + 5)(202 + 5)(1152 + 5).
by Yoshio Mimura, Kobe, Japan
17028
170282 = (12 + 8)(22 + 8)(62 + 8)(2472 + 8) = (22 + 2)(42 + 2)(162 + 2)(1022 + 2)
= (62 + 8)(102 + 8)(2472 + 8) = (62 + 8)(112 + 8)(2262 + 8).
by Yoshio Mimura, Kobe, Japan
17046
170462 = (12 + 5)(69592 + 5).
Page of Squares : First Upload February 1, 2014 ; Last Revised February 1, 2014by Yoshio Mimura, Kobe, Japan
17050
170502 = (22 + 6)(52 + 6)(262 + 6)(372 + 6) = (42 + 6)(372 + 6)(982 + 6)
= (42 + 6)(52 + 6)(72 + 6)(882 + 6) = (72 + 6)(262 + 6)(882 + 6).
by Yoshio Mimura, Kobe, Japan
17080
170802 = 1695 * 1696 + 1696 * 1697 + 1697 * 1698 + 1698 * 1699 + ... + 1790 * 1791.
Page of Squares : First Upload February 4, 2012 ; Last Revised February 4, 2012by Yoshio Mimura, Kobe, Japan
17098
170982 = 2 + 3 + 5 + 7 + 11 + ... + 79427 is the sum of consecutive primes.
Page of Squares : First Upload February 4, 2012 ; Last Revised February 4, 2012by Yoshio Mimura, Kobe, Japan
17103
171032± 2 are primes.
Page of Squares : First Upload February 1, 2014 ; Last Revised February 1, 2014by Yoshio Mimura, Kobe, Japan
17152
171522 = (32 + 7)(112 + 7)(3792 + 7).
Page of Squares : First Upload February 1, 2014 ; Last Revised February 1, 2014by Yoshio Mimura, Kobe, Japan
17160
171602 = (112 - 1)(122 - 1)(1312 - 1) = (22 - 1)(32 - 1)(122 - 1)(142 - 1)(212 - 1)
= (32 - 1)(102 - 1)(122 - 1)(512 - 1) = (32 - 1)(42 - 1)(122 - 1)(1312 - 1)
= (52 - 1)(122 - 1)(142 - 1)(212 - 1).
by Yoshio Mimura, Kobe, Japan
17161
17161 is a zigzag square pegged by 1 (1312).
Page of Squares : First Upload November 9, 2013 ; Last Revised November 9, 2013by Yoshio Mimura, Kobe, Japan
17170
171702 = (12 + 1)(42 + 1)(102 + 1)(2932 + 1).
Page of Squares : First Upload November 9, 2013 ; Last Revised November 9, 2013by Yoshio Mimura, Kobe, Japan
17190
The sum of the divisors of 171902 is a square (310312).
Page of Squares : First Upload February 4, 2012 ; Last Revised February 4, 2012by Yoshio Mimura, Kobe, Japan
17196
The quadratic polynomial 17196X2 - 88548X + 121081 takes the values 2232, 1132, 1012, 2052, 3292, 4572 at X = 1, 2, ..., 6
Page of Squares : First Upload February 4, 2012 ; Last Revised February 4, 2012by Yoshio Mimura, Kobe, Japan
17200
172002± 3 are primes.
Page of Squares : First Upload February 1, 2014 ; Last Revised February 1, 2014by Yoshio Mimura, Kobe, Japan
17224
172242± 3 are primes.
Page of Squares : First Upload February 1, 2014 ; Last Revised February 1, 2014by Yoshio Mimura, Kobe, Japan
17252
172522 = 297631504 is a square consisting of different digits.
172522 = 7222 + 7232 + 7242 + ... + 10822.
Page of Squares : First Upload February 4, 2012 ; Last Revised February 4, 2012by Yoshio Mimura, Kobe, Japan
17253
172532± 2 are primes.
Page of Squares : First Upload February 1, 2014 ; Last Revised February 1, 2014by Yoshio Mimura, Kobe, Japan
17261
172612 = 8413 - 8403 + 8393 - 8383 + ... + 13.
Page of Squares : First Upload February 4, 2012 ; Last Revised February 4, 2012by Yoshio Mimura, Kobe, Japan
17267
172672 = 32 + 42 + 52 + 62 + ... + 9632.
Page of Squares : First Upload February 4, 2012 ; Last Revised February 4, 2012by Yoshio Mimura, Kobe, Japan
17268
172682 = 43 + 933 + 2783 + 6513.
Page of Squares : First Upload February 4, 2012 ; Last Revised February 4, 2012by Yoshio Mimura, Kobe, Japan
17272
172722± 3 are primes.
Page of Squares : First Upload February 1, 2014 ; Last Revised February 1, 2014by Yoshio Mimura, Kobe, Japan
17280
172802 = (22 - 1)(172 - 1)(192 - 1)(312 - 1) = (22 - 1)(32 - 1)(112 - 1)(172 - 1)(192 - 1)
= (22 - 1)(32 - 1)(42 - 1)(52 - 1)(112 - 1)(172 - 1) = (22 - 1)(42 - 1)(52 - 1)(172 - 1)(312 - 1)
= (22 - 1)(72 - 1)(92 - 1)(1612 - 1) = (32 - 1)(42 - 1)(52 - 1)(172 - 1)(192 - 1)
= (52 - 1)(112 - 1)(172 - 1)(192 - 1).
by Yoshio Mimura, Kobe, Japan
17304
173042 = (12 + 3)(22 + 3)(32 + 3)(102 + 3)(932 + 3) = (12 + 3)(92 + 3)(102 + 3)(932 + 3)
= (32 + 3)(52 + 3)(102 + 3)(932 + 3).
by Yoshio Mimura, Kobe, Japan
17316
173162 = 724 + 904 + 1204.
173162 = 74*75*76 + 76*77*78 + 78*79*80 + 80*81*82 + ... + 220*221*222.
Page of Squares : First Upload February 4, 2012 ; Last Revised October 26, 2103by Yoshio Mimura, Kobe, Japan
17325
173252 = (22 - 1)(42 - 1)(342 - 1)(762 - 1) = (42 - 1)(62 - 1)(102 - 1)(762 - 1).
173252 = 9912 + 9922 + 9932 + ... + 12322.
Page of Squares : First Upload February 4, 2012 ; Last Revised February 1, 2014by Yoshio Mimura, Kobe, Japan
17334
173342 = (12 + 2)(42 + 2)(312 + 2)(762 + 2).
Page of Squares : First Upload February 1, 2014 ; Last Revised February 1, 2014by Yoshio Mimura, Kobe, Japan
17336
173362 = (22 + 7)(52272 + 7).
Page of Squares : First Upload February 1, 2014 ; Last Revised February 1, 2014by Yoshio Mimura, Kobe, Japan
17350
173502± 3 are primes.
Page of Squares : First Upload February 1, 2014 ; Last Revised February 1, 2014by Yoshio Mimura, Kobe, Japan
17364
173642 = 1042 + 1052 + 1062 + ... + 9672.
Page of Squares : First Upload February 4, 2012 ; Last Revised February 4, 2012by Yoshio Mimura, Kobe, Japan
17366
173662± 3 are primes.
Page of Squares : First Upload February 1, 2014 ; Last Revised February 1, 2014by Yoshio Mimura, Kobe, Japan
17388
173882 = (12 + 5)(32 + 5)(112 + 5)(1692 + 5) = (12 + 5)(32 + 5)(312 + 5)(612 + 5)
= (12 + 5)(32 + 5)(72 + 5)(82 + 5)(312 + 5).
by Yoshio Mimura, Kobe, Japan
17392
173922± 3 are primes.
173922 = (12 + 7)(61492 + 7).
Page of Squares : First Upload February 1, 2014 ; Last Revised February 1, 2014by Yoshio Mimura, Kobe, Japan
17404
17404, 17405, 17406, 17407 and 17408 are consecutive integers having square factors (the 9th case).
Page of Squares : First Upload December 14, 2013 ; Last Revised December 14, 2013by Yoshio Mimura, Kobe, Japan
17410
174102± 3 are primes.
Page of Squares : First Upload February 1, 2014 ; Last Revised February 1, 2014by Yoshio Mimura, Kobe, Japan
17420
174202± 3 are primes.
Page of Squares : First Upload February 1, 2014 ; Last Revised February 1, 2014by Yoshio Mimura, Kobe, Japan
17423
174232 = 5332 + 5352 + 5372 + 5392 + ... + 12532.
Page of Squares : First Upload February 4, 2012 ; Last Revised February 4, 2012by Yoshio Mimura, Kobe, Japan
17424
174242 = (162 + 8)(282 + 8)(382 + 8) = (42 + 8)(52 + 8)(162 + 8)(382 + 8)
= (52 + 8)(62 + 8)(162 + 8)(282 + 8).
by Yoshio Mimura, Kobe, Japan
17425
174252 = (42 + 1)(322 + 1)(1322 + 1).
Page of Squares : First Upload November 9, 2013 ; Last Revised November 9, 2013by Yoshio Mimura, Kobe, Japan
17430
174302 = (32 + 6)(342 + 6)(1322 + 6).
Page of Squares : First Upload February 1, 2014 ; Last Revised February 1, 2014by Yoshio Mimura, Kobe, Japan
17442
174422 = (12 + 2)(132 + 2)(242 + 2)(322 + 2) = (12 + 2)(22 + 2)(72 + 2)(132 + 2)(442 + 2)
= (12 + 2)(52 + 2)(62 + 2)(132 + 2)(242 + 2) = (12 + 2)(52 + 2)(62 + 2)(72 + 2)(442 + 2)
= (12 + 2)(72 + 2)(322 + 2)(442 + 2) = (42 + 2)(72 + 2)(132 + 2)(442 + 2).
by Yoshio Mimura, Kobe, Japan
17461
174612 = 2552 + 2562 + 2572 + ... + 9762.
Page of Squares : First Upload February 4, 2012 ; Last Revised February 4, 2012by Yoshio Mimura, Kobe, Japan
17472
174722 = (22 - 1)(152 - 1)(252 - 1)(272 - 1).
Page of Squares : First Upload February 1, 2014 ; Last Revised February 1, 2014by Yoshio Mimura, Kobe, Japan
17480
174802 = 480 * 481 + 481 * 482 + 482 * 483 + 483 * 484 + ... + 1008 * 1009.
Page of Squares : First Upload February 4, 2012 ; Last Revised February 4, 2012by Yoshio Mimura, Kobe, Japan
17529
175292 = 307265841 is a square consisting of different digits.
Page of Squares : First Upload February 4, 2012 ; Last Revised February 4, 2012by Yoshio Mimura, Kobe, Japan
17544
175442± 5 are primes.
175442 = (112 + 8)(322 + 8)(482 + 8).
Page of Squares : First Upload February 1, 2014 ; Last Revised February 1, 2014by Yoshio Mimura, Kobe, Japan
17550
175502 = (12 + 9)(22 + 9)(32 + 9)(62 + 9)(542 + 9) = (12 + 9)(22 + 9)(62 + 9)(92 + 9)(242 + 9)
= (12 + 9)(32 + 9)(242 + 9)(542 + 9) = (12 + 9)(62 + 9)(152 + 9)(542 + 9)
= (152 + 9)(212 + 9)(542 + 9) = (22 + 9)(32 + 9)(212 + 9)(542 + 9)
= (22 + 9)(32 + 9)(42 + 9)(92 + 9)(242 + 9) = (22 + 9)(32 + 9)(62 + 9)(1712 + 9)
= (22 + 9)(42 + 9)(62 + 9)(92 + 9)(152 + 9) = (22 + 9)(92 + 9)(212 + 9)(242 + 9)
= (32 + 9)(242 + 9)(1712 + 9) = (32 + 9)(42 + 9)(152 + 9)(542 + 9)
= (32 + 9)(62 + 9)(112 + 9)(542 + 9) = (42 + 9)(92 + 9)(152 + 9)(242 + 9)
= (62 + 9)(152 + 9)(1712 + 9) = (62 + 9)(92 + 9)(112 + 9)(242 + 9).
by Yoshio Mimura, Kobe, Japan
17562
175622± 5 are primes.
Page of Squares : First Upload February 1, 2014 ; Last Revised February 1, 2014by Yoshio Mimura, Kobe, Japan
17570
175702 = 849 * 850 + 851 * 852 + 853 * 854 + 855 * 856 + ... + 1349 * 1350.
Page of Squares : First Upload February 4, 2012 ; Last Revised February 4, 2012by Yoshio Mimura, Kobe, Japan
17572
175722 = (192 + 7)(9162 + 7) = (32 + 7)(42 + 7)(9162 + 7).
Page of Squares : First Upload February 1, 2014 ; Last Revised February 1, 2014by Yoshio Mimura, Kobe, Japan
17576
175762 = (32 + 4)(102 + 4)(4782 + 4).
Page of Squares : First Upload February 1, 2014 ; Last Revised February 1, 2014by Yoshio Mimura, Kobe, Japan
17583
175832± 2 are primes.
Page of Squares : First Upload February 1, 2014 ; Last Revised February 1, 2014by Yoshio Mimura, Kobe, Japan
17584
175842 = S2(699) + S2(836), where S2(n) = 12 + 22 + 32 + ... + n2.
Page of Squares : First Upload February 4, 2012 ; Last Revised February 4, 2012by Yoshio Mimura, Kobe, Japan
17616
176162 = (13 + 5)(33 + 5)(93 + 5)(133 + 5).
Page of Squares : First Upload February 1, 2014 ; Last Revised February 1, 2014by Yoshio Mimura, Kobe, Japan
17622
176222 = (12 + 2)(22 + 2)(192 + 2)(2182 + 2) = (12 + 2)(32 + 2)(142 + 2)(2182 + 2)
= (42 + 2)(192 + 2)(2182 + 2).
by Yoshio Mimura, Kobe, Japan
17639
176392 = 311134321, 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
17640
176402 = (22 - 1)(82 - 1)(132 - 1)(992 - 1) = (42 - 1)(62 - 1)(82 - 1)(972 - 1)
= (62 - 1)(82 - 1)(132 - 1)(292 - 1).
by Yoshio Mimura, Kobe, Japan
17646
176462± 5 are primes.
Page of Squares : First Upload February 1, 2014 ; Last Revised February 1, 2014by Yoshio Mimura, Kobe, Japan
17649
176492± 2 are primes.
Page of Squares : First Upload February 1, 2014 ; Last Revised February 1, 2014by Yoshio Mimura, Kobe, Japan
17668
176682± 3 are primes.
Page of Squares : First Upload February 1, 2014 ; Last Revised February 1, 2014by Yoshio Mimura, Kobe, Japan
17678
176782 = 35972 + 35982 + 35992 + ... + 36202.
Page of Squares : First Upload February 4, 2012 ; Last Revised February 4, 2012by Yoshio Mimura, Kobe, Japan
17680
176802 = (12 + 4)(22 + 4)(32 + 4)(102 + 4)(762 + 4)
= (12 + 4)(22 + 4)(32 + 4)(82 + 4)(92 + 4)(102 + 4) = (12 + 4)(22 + 4)(32 + 4)(82 + 4)(942 + 4)
= (12 + 4)(32 + 4)(62 + 4)(82 + 4)(422 + 4) = (12 + 4)(32 + 4)(82 + 4)(102 + 4)(262 + 4)
= (12 + 4)(82 + 4)(102 + 4)(942 + 4) = (162 + 4)(262 + 4)(422 + 4)
= (22 + 4)(32 + 4)(42 + 4)(92 + 4)(422 + 4) = (22 + 4)(82 + 4)(262 + 4)(292 + 4)
= (22 + 4)(92 + 4)(162 + 4)(422 + 4) = (32 + 4)(42 + 4)(262 + 4)(422 + 4)
= (32 + 4)(62 + 4)(102 + 4)(762 + 4) = (32 + 4)(62 + 4)(82 + 4)(92 + 4)(102 + 4)
= (32 + 4)(62 + 4)(82 + 4)(942 + 4) = (32 + 4)(82 + 4)(142 + 4)(422 + 4)
= (42 + 4)(422 + 4)(942 + 4) = (42 + 4)(92 + 4)(102 + 4)(422 + 4).
by Yoshio Mimura, Kobe, Japan
17688
176882 = (162 + 8)(272 + 8)(402 + 8).
Page of Squares : First Upload February 1, 2014 ; Last Revised February 1, 2014by Yoshio Mimura, Kobe, Japan
17689
17689 is a square (1332) with different digits.
Page of Squares : First Upload February 4, 2012 ; Last Revised February 4, 2012by Yoshio Mimura, Kobe, Japan
17690
176902 = (112 + 1)(122 + 1)(1332 + 1).
Page of Squares : First Upload November 9, 2013 ; Last Revised November 9, 2013by Yoshio Mimura, Kobe, Japan
17710
177102 = 313644100, 3136 = 562, 44100 = 2102.
Page of Squares : First Upload February 4, 2012 ; Last Revised February 4, 2012by Yoshio Mimura, Kobe, Japan
17712
177122 = (12 + 8)(42 + 8)(82 + 8)(1422 + 8) = (42 + 8)(82 + 8)(192 + 8)(222 + 8).
Page of Squares : First Upload February 1, 2014 ; Last Revised February 1, 2014by Yoshio Mimura, Kobe, Japan
17714
177142± 3 are primes.
Page of Squares : First Upload February 1, 2014 ; Last Revised February 1, 2014by Yoshio Mimura, Kobe, Japan
17720
177202± 3 are primes.
Page of Squares : First Upload February 1, 2014 ; Last Revised February 1, 2014by Yoshio Mimura, Kobe, Japan
17721
177212 = 33 + 583 + 4293 + 6173.
Page of Squares : First Upload February 4, 2012 ; Last Revised February 4, 2012by Yoshio Mimura, Kobe, Japan
17724
177242± 5 are primes.
Page of Squares : First Upload February 1, 2014 ; Last Revised February 1, 2014by Yoshio Mimura, Kobe, Japan
17730
177302 = (32 + 9)(41792 + 9).
Page of Squares : First Upload February 1, 2014 ; Last Revised February 1, 2014by Yoshio Mimura, Kobe, Japan
17732
177322 = S2(274) + S2(973), where S2(n) = 12 + 22 + 32 + ... + n2.
Page of Squares : First Upload February 4, 2012 ; Last Revised February 4, 2012by Yoshio Mimura, Kobe, Japan
17734
177342± 3 are primes.
Page of Squares : First Upload February 1, 2014 ; Last Revised February 1, 2014by Yoshio Mimura, Kobe, Japan
17739
177392± 2 are primes.
Page of Squares : First Upload February 1, 2014 ; Last Revised February 1, 2014by Yoshio Mimura, Kobe, Japan
17744
177442 = S2(676) + S2(859), where S2(n) = 12 + 22 + 32 + ... + n2.
Page of Squares : First Upload February 4, 2012 ; Last Revised February 4, 2012by Yoshio Mimura, Kobe, Japan
17750
177502 = 4432 + 4442 + 4452 + ... + 10102.
Page of Squares : First Upload February 4, 2012 ; Last Revised February 4, 2012by Yoshio Mimura, Kobe, Japan
17766
177662 = (12 + 5)(22 + 5)(42 + 5)(182 + 5)(292 + 5) = (22 + 5)(112 + 5)(182 + 5)(292 + 5)
= (42 + 5)(72 + 5)(182 + 5)(292 + 5).
by Yoshio Mimura, Kobe, Japan
17778
177782 = 316057284 is a square consisting of different digits.
Page of Squares : First Upload February 4, 2012 ; Last Revised February 4, 2012by Yoshio Mimura, Kobe, Japan
17784
177842 = (32 - 1)(372 - 1)(1702 - 1).
177842 = 552 * 553 + 554 * 555 + 556 * 557 + 558 * 559 + ... + 1272 * 1273.
Page of Squares : First Upload February 4, 2012 ; Last Revised February 1, 2014by Yoshio Mimura, Kobe, Japan
17794
177942± 3 are primes.
Page of Squares : First Upload February 1, 2014 ; Last Revised February 1, 2014by Yoshio Mimura, Kobe, Japan
17800
178002± 3 are primes.
178002 = (12 + 4)(22 + 4)(142 + 4)(1992 + 4) = (62 + 4)(142 + 4)(1992 + 4).
Page of Squares : First Upload February 1, 2014 ; Last Revised February 1, 2014by Yoshio Mimura, Kobe, Japan
17802
178022 = (22 + 5)(82 + 5)(92 + 5)(772 + 5).
Page of Squares : First Upload February 1, 2014 ; Last Revised February 1, 2014by Yoshio Mimura, Kobe, Japan
17811
178112 = 317231721.
Page of Squares : First Upload February 4, 2012 ; Last Revised February 4, 2012by Yoshio Mimura, Kobe, Japan
17816
178162 = 317409856 is a square consisting of different digits.
Page of Squares : First Upload February 4, 2012 ; Last Revised February 4, 2012by Yoshio Mimura, Kobe, Japan
17866
178662 = 319193956, 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
17871
178712± 2 are primes.
Page of Squares : First Upload February 1, 2014 ; Last Revised February 1, 2014by Yoshio Mimura, Kobe, Japan
17876
178762 = 319551376, 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
17943
179432± 2 are primes.
Page of Squares : First Upload February 1, 2014 ; Last Revised February 1, 2014by Yoshio Mimura, Kobe, Japan
17952
179522 = (22 + 8)(62 + 8)(162 + 8)(482 + 8).
Page of Squares : First Upload February 1, 2014 ; Last Revised February 1, 2014by Yoshio Mimura, Kobe, Japan
17955
179552 = (22 - 1)(42 - 1)(202 - 1)(1342 - 1).
Page of Squares : First Upload February 1, 2014 ; Last Revised February 1, 2014by Yoshio Mimura, Kobe, Japan
17956
17956 is a square (1342) with different digits.
Page of Squares : First Upload February 4, 2012 ; Last Revised February 4, 2012by Yoshio Mimura, Kobe, Japan
17958
179582 = (112 + 2)(122 + 2)(1342 + 2).
Page of Squares : First Upload February 1, 2014 ; Last Revised February 1, 2014by Yoshio Mimura, Kobe, Japan
17962
179622 = 10832 + 10852 + 10872 + 10892 + ... + 14732.
Page of Squares : First Upload February 4, 2012 ; Last Revised February 4, 2012by Yoshio Mimura, Kobe, Japan
17963
179632 = (22 + 7)(42 + 7)(82 + 7)(1342 + 7).
Page of Squares : First Upload February 1, 2014 ; Last Revised February 1, 2014by Yoshio Mimura, Kobe, Japan
17979
179792 = 323244441, 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
17996
179962 = 17892 + 17902 + 17912 + ... + 18842.
Page of Squares : First Upload February 4, 2012 ; Last Revised February 4, 2012by Yoshio Mimura, Kobe, Japan