19000
190002 = 361000000, 36 = 62, 1000000 = 10002.
Page of Squares : First Upload February 18, 2012 ; Last Revised February 18, 2012by Yoshio Mimura, Kobe, Japan
19005
190052 = 42 + 52 + ... + 382 = 392 + 402 + ... + 482.
Page of Squares : First Upload February 18, 2012 ; Last Revised February 18, 2012by Yoshio Mimura, Kobe, Japan
19008
190082 = (22 + 8)(42 + 8)(62 + 8)(102 + 8)(162 + 8) = (22 - 1)(102 - 1)(172 - 1)(652 - 1)
= (22 - 1)(32 - 1)(102 - 1)(172 - 1)(232 - 1) = (42 + 8)(82 + 8)(162 + 8)(282 + 8)
= (52 - 1)(102 - 1)(172 - 1)(232 - 1).
by Yoshio Mimura, Kobe, Japan
19023
190232 = 361874529 is a square consisting of different digits.
Page of Squares : First Upload February 18, 2012 ; Last Revised February 18, 2012by Yoshio Mimura, Kobe, Japan
19025
190252 = 361950625, 361 = 192, 950625 = 9752.
Page of Squares : First Upload February 18, 2012 ; Last Revised February 18, 2012by Yoshio Mimura, Kobe, Japan
19030
190302 = (22 + 6)(42 + 6)(12832 + 6).
Page of Squares : First Upload February 1, 2014 ; Last Revised February 1, 2014by Yoshio Mimura, Kobe, Japan
19038
190382± 5 are primes.
Page of Squares : First Upload February 1, 2014 ; Last Revised February 1, 2014by Yoshio Mimura, Kobe, Japan
19050
190502 = (112 + 6)(122 + 6)(1382 + 6) = (22 + 6)(32 + 6)(112 + 6)(1382 + 6).
Page of Squares : First Upload February 1, 2014 ; Last Revised February 1, 2014by Yoshio Mimura, Kobe, Japan
19056
190562 = 363131136 is a square consisting of 3 kinds of digits.
Page of Squares : First Upload February 18, 2012 ; Last Revised February 18, 2012by Yoshio Mimura, Kobe, Japan
19069
190692 = 363626761 is a square pegged by 6.
Page of Squares : First Upload February 18, 2012 ; Last Revised February 18, 2012by Yoshio Mimura, Kobe, Japan
19071
190712 = 583 + 643 + 923 + 7133.
Page of Squares : First Upload February 18, 2012 ; Last Revised February 18, 2012by Yoshio Mimura, Kobe, Japan
19116
191162 = (12 + 8)(102 + 8)(132 + 8)(462 + 8).
Page of Squares : First Upload February 1, 2014 ; Last Revised February 1, 2014by Yoshio Mimura, Kobe, Japan
19125
191252± 2 are primes.
191252 = (42 + 9)(62 + 9)(122 + 9)(462 + 9).
Page of Squares : First Upload February 1, 2014 ; Last Revised February 1, 2014by Yoshio Mimura, Kobe, Japan
19152
191522 = (22 - 1)(152 - 1)(202 - 1)(372 - 1) = (22 - 1)(52 - 1)(202 - 1)(1132 - 1).
Page of Squares : First Upload February 1, 2014 ; Last Revised February 1, 2014by Yoshio Mimura, Kobe, Japan
19173
191732± 2 are primes.
Page of Squares : First Upload February 1, 2014 ; Last Revised February 1, 2014by Yoshio Mimura, Kobe, Japan
19179
191792 = (52 + 2)(36912 + 2).
Page of Squares : First Upload February 1, 2014 ; Last Revised February 1, 2014by Yoshio Mimura, Kobe, Japan
19204
192042 = 7837 * 7838 + 7838 * 7839 + 7839 * 7840 + ... + 7842 * 7843.
Page of Squares : First Upload February 18, 2012 ; Last Revised February 18, 2012by Yoshio Mimura, Kobe, Japan
19206
192062± 5 are primes.
192062 = (12 + 2)(22 + 2)(32 + 2)(172 + 2)(802 + 2) = (12 + 2)(82 + 2)(172 + 2)(802 + 2)
= (142 + 2)(172 + 2)(802 + 2) = (32 + 2)(42 + 2)(172 + 2)(802 + 2).
by Yoshio Mimura, Kobe, Japan
19210
192102 = (12 + 1)(22 + 1)(42 + 1)(152 + 1)(982 + 1)
= (132 + 1)(152 + 1)(982 + 1) = (32 + 1)(42 + 1)(152 + 1)(982 + 1).
by Yoshio Mimura, Kobe, Japan
19224
192242 = (12 + 8)(82 + 8)(92 + 8)(802 + 8) = (442 + 8)(4362 + 8).
Page of Squares : First Upload February 1, 2014 ; Last Revised February 1, 2014by Yoshio Mimura, Kobe, Japan
19240
192402 = (12 + 4)(22 + 4)(492 + 4)(622 + 4) = (12 + 4)(32 + 4)(102 + 4)(2342 + 4)
= (22 + 4)(292 + 4)(2342 + 4) = (32 + 4)(622 + 4)(862 + 4) = (62 + 4)(492 + 4)(622 + 4).
by Yoshio Mimura, Kobe, Japan
19250
192502± 3 are primes.
192502 = (12 + 6)(22 + 6)(372 + 6)(622 + 6) = (12 + 6)(22 + 6)(42 + 6)(132 + 6)(372 + 6)
= (12 + 6)(22 + 6)(72 + 6)(82 + 6)(372 + 6) = (22 + 6)(72 + 6)(132 + 6)(622 + 6)
= (22 + 6)(72 + 6)(222 + 6)(372 + 6) = (42 + 6)(82 + 6)(132 + 6)(372 + 6)
= (82 + 6)(372 + 6)(622 + 6).
by Yoshio Mimura, Kobe, Japan
19264
192642± 3 are primes.
192642 = (12 + 7)(62 + 7)(212 + 7)(492 + 7).
Page of Squares : First Upload February 1, 2014 ; Last Revised February 1, 2014by Yoshio Mimura, Kobe, Japan
19272
192722 = (162 + 8)(242 + 8)(492 + 8).
Page of Squares : First Upload February 1, 2014 ; Last Revised February 1, 2014by Yoshio Mimura, Kobe, Japan
19278
192782± 5 are primes.
Page of Squares : First Upload February 1, 2014 ; Last Revised February 1, 2014by Yoshio Mimura, Kobe, Japan
19320
193202 = (32 - 1)(132 - 1)(222 - 1)(242 - 1).
193202 = (13)(23 + 33 + 43 + ... + 133)(143 + 153 + 163 + ... + 213).
Page of Squares : First Upload February 9, 2013 ; Last Revised February 1, 2014by Yoshio Mimura, Kobe, Japan
19328
193282 = (12 + 7)(32 + 7)(122 + 7)(1392 + 7) = (112 + 7)(122 + 7)(1392 + 7).
Page of Squares : First Upload February 1, 2014 ; Last Revised February 1, 2014by Yoshio Mimura, Kobe, Japan
19358
193582± 3 are primes.
Page of Squares : First Upload February 1, 2014 ; Last Revised February 1, 2014by Yoshio Mimura, Kobe, Japan
19370
193702± 3 are primes.
193702 = (32 + 4)(612 + 4)(882 + 4).
Page of Squares : First Upload February 1, 2014 ; Last Revised February 1, 2014by Yoshio Mimura, Kobe, Japan
19377
193772 = 375468129 is a square consisting of different digits.
Page of Squares : First Upload February 18, 2012 ; Last Revised February 18, 2012by Yoshio Mimura, Kobe, Japan
19380
193802 = (22 - 1)(162 - 1)(182 - 1)(392 - 1) = (22 - 1)(42 - 1)(28892 - 1).
Page of Squares : First Upload February 1, 2014 ; Last Revised February 1, 2014by Yoshio Mimura, Kobe, Japan
19408
194082 = S2(547) + S2(988), where S2(n) = 12 + 22 + 32 + ... + n2.
Page of Squares : First Upload February 18, 2012 ; Last Revised February 18, 2012by Yoshio Mimura, Kobe, Japan
19450
194502± 3 are primes.
Page of Squares : First Upload February 1, 2014 ; Last Revised February 1, 2014by Yoshio Mimura, Kobe, Japan
19497
194972± 2 are primes.
Page of Squares : First Upload February 1, 2014 ; Last Revised February 1, 2014by Yoshio Mimura, Kobe, Japan
19523
195232 = (12 + 6)(73792 + 6).
Page of Squares : First Upload February 1, 2014 ; Last Revised February 1, 2014by Yoshio Mimura, Kobe, Japan
19526
195262± 3 are primes.
Page of Squares : First Upload February 1, 2014 ; Last Revised February 1, 2014by Yoshio Mimura, Kobe, Japan
19529
195292 = 13792 + 13802 + 13812 + ... + 15552.
Page of Squares : First Upload February 18, 2012 ; Last Revised February 18, 2012by Yoshio Mimura, Kobe, Japan
19558
195582 = (42 + 6)(112 + 6)(3702 + 6).
Page of Squares : First Upload February 1, 2014 ; Last Revised February 1, 2014by Yoshio Mimura, Kobe, Japan
19569
195692 = 382945761 is a square consisting of different digits.
Page of Squares : First Upload February 18, 2012 ; Last Revised February 18, 2012by Yoshio Mimura, Kobe, Japan
19584
195842 = (172 - 1)(332 - 1)(352 - 1) = (22 - 1)(32 - 1)(72 - 1)(5772 - 1)
= (52 - 1)(72 - 1)(5772 - 1).
by Yoshio Mimura, Kobe, Japan
19602
196022 = (12 + 2)(22 + 2)(32 + 2)(52 + 2)(142 + 2)(192 + 2)
= (12 + 2)(32 + 2)(42 + 2)(52 + 2)(82 + 2)(192 + 2) = (12 + 2)(32 + 2)(82 + 2)(192 + 2)(222 + 2)
= (12 + 2)(42 + 2)(192 + 2)(1402 + 2) = (12 + 2)(52 + 2)(82 + 2)(142 + 2)(192 + 2)
= (32 + 2)(142 + 2)(192 + 2)(222 + 2) = (32 + 2)(42 + 2)(52 + 2)(142 + 2)(192 + 2)
= (32 + 2)(52 + 2)(82 + 2)(1402 + 2).
by Yoshio Mimura, Kobe, Japan
19608
196082 = (112 + 8)(122 + 8)(1402 + 8) = (132 + 3)(152 + 3)(992 + 3)
= (32 + 3)(42 + 3)(132 + 3)(992 + 3).
by Yoshio Mimura, Kobe, Japan
19610
196102 = (12 + 4)(72 + 4)(122 + 4)(992 + 4).
Page of Squares : First Upload February 1, 2014 ; Last Revised February 1, 2014by Yoshio Mimura, Kobe, Japan
19618
196182 = (242 + 2)(8162 + 2).
Page of Squares : First Upload February 1, 2014 ; Last Revised February 1, 2014by Yoshio Mimura, Kobe, Japan
19629
196292 = 1 + 3 + 6 + 10 + 15 + 21 + ... + 1176 (the sum of tetrahedrals).
196292 = 385297641 is a square consisting of different digits.
Page of Squares : First Upload February 18, 2012 ; Last Revised February 18, 2012by Yoshio Mimura, Kobe, Japan
19635
196352 = (22 - 1)(62 - 1)(162 - 1)(1202 - 1).
Page of Squares : First Upload February 1, 2014 ; Last Revised February 1, 2014by Yoshio Mimura, Kobe, Japan
19656
196562 = (22 - 1)(82 - 1)(272 - 1)(532 - 1) = (23 + 1)(33 + 1)(53 + 1)(233 + 1).
Page of Squares : First Upload February 1, 2014 ; Last Revised February 1, 2014by Yoshio Mimura, Kobe, Japan
19662
196622± 5 are primes.
Page of Squares : First Upload February 1, 2014 ; Last Revised February 1, 2014by Yoshio Mimura, Kobe, Japan
19684
196842 = (12 + 3)(22 + 3)(42 + 3)(162 + 3)(532 + 3) = (162 + 3)(232 + 3)(532 + 3)
= (42 + 3)(52 + 3)(162 + 3)(532 + 3).
by Yoshio Mimura, Kobe, Japan
19695
196952 = 38502 + 38512 + 38522 + ... + 38752.
Page of Squares : First Upload February 18, 2012 ; Last Revised February 18, 2012by Yoshio Mimura, Kobe, Japan
19698
196982 = (142 + 5)(172 + 5)(812 + 5) = (22 + 3)(82 + 3)(122 + 3)(752 + 3)
= (32 + 5)(42 + 5)(142 + 5)(812 + 5) = (42 + 5)(532 + 5)(812 + 5).
by Yoshio Mimura, Kobe, Japan
19701
197012 = 11442 + 11452 + 11462 + ... + 13852.
Page of Squares : First Upload February 18, 2012 ; Last Revised February 18, 2012by Yoshio Mimura, Kobe, Japan
19707
197072± 2 are primes.
Page of Squares : First Upload February 1, 2014 ; Last Revised February 1, 2014by Yoshio Mimura, Kobe, Japan
19708
197082± 3 are primes.
Page of Squares : First Upload February 1, 2014 ; Last Revised February 1, 2014by Yoshio Mimura, Kobe, Japan
19710
197102 = (32 + 9)(62 + 9)(82 + 9)(812 + 9).
Page of Squares : First Upload February 1, 2014 ; Last Revised February 1, 2014by Yoshio Mimura, Kobe, Japan
19712
197122 = (12 + 7)(22 + 7)(72 + 7)(132 + 7)(212 + 7) = (12 + 7)(92 + 7)(212 + 7)(352 + 7)
= (22 + 7)(32 + 7)(52 + 7)(72 + 7)(352 + 7) = (22 + 7)(32 + 7)(72 + 7)(92 + 7)(212 + 7)
= (32 + 7)(72 + 7)(212 + 7)(312 + 7) = (52 + 7)(72 + 7)(132 + 7)(352 + 7)
= (72 + 7)(352 + 7)(752 + 7) = (72 + 7)(92 + 7)(132 + 7)(212 + 7).
by Yoshio Mimura, Kobe, Japan
19720
197202 = (92 + 4)(262 + 4)(822 + 4).
Page of Squares : First Upload February 1, 2014 ; Last Revised February 1, 2014by Yoshio Mimura, Kobe, Japan
19737
197372 = (12 + 2)(72 + 2)(272 + 2)(592 + 2).
Page of Squares : First Upload February 1, 2014 ; Last Revised February 1, 2014by Yoshio Mimura, Kobe, Japan
19740
197402 = (92 - 1)(462 - 1)(482 - 1).
Page of Squares : First Upload February 1, 2014 ; Last Revised February 1, 2014by Yoshio Mimura, Kobe, Japan
19741
197412 = 3442 + 3452 + 3462 + ... + 10652.
Page of Squares : First Upload February 18, 2012 ; Last Revised February 18, 2012by Yoshio Mimura, Kobe, Japan
19778
197782 = (52 + 6)(262 + 6)(1362 + 6).
Page of Squares : First Upload February 1, 2014 ; Last Revised February 1, 2014by Yoshio Mimura, Kobe, Japan
19782
197822 = 33 + 483 + 1563 + 7293.
Page of Squares : First Upload February 18, 2012 ; Last Revised February 18, 2012by Yoshio Mimura, Kobe, Japan
19803
198032 = (82 + 5)(23842 + 5).
Page of Squares : First Upload February 1, 2014 ; Last Revised February 1, 2014by Yoshio Mimura, Kobe, Japan
19812
198122± 5 are primes.
Page of Squares : First Upload February 1, 2014 ; Last Revised February 1, 2014by Yoshio Mimura, Kobe, Japan
19825
198252 = (282 + 9)(7042 + 9).
Page of Squares : First Upload February 1, 2014 ; Last Revised February 1, 2014by Yoshio Mimura, Kobe, Japan
19845
198452 = (22 + 5)(102 + 5)(202 + 5)(322 + 5) = (22 - 1)(62 - 1)(82 - 1)(2442 - 1).
Page of Squares : First Upload February 1, 2014 ; Last Revised February 1, 2014by Yoshio Mimura, Kobe, Japan
19855
198552 = 552 + 562 + ... + 602 = 612 + 622 + ... + 652.
Page of Squares : First Upload February 18, 2012 ; Last Revised February 18, 2012by Yoshio Mimura, Kobe, Japan
19875
198752± 2 are primes.
Page of Squares : First Upload February 1, 2014 ; Last Revised February 1, 2014by Yoshio Mimura, Kobe, Japan
19880
198802± 3 are primes.
Page of Squares : First Upload February 1, 2014 ; Last Revised February 1, 2014by Yoshio Mimura, Kobe, Japan
19881
198812± 2 are primes.
19881 is a square (1412) consisting of 3 kinds of digits.
Page of Squares : First Upload February 18, 2012 ; Last Revised February 1, 2014by Yoshio Mimura, Kobe, Japan
19883
198832 = 13152 + 13172 + 13192 + 13212 + ... + 16672.
Page of Squares : First Upload February 18, 2012 ; Last Revised February 18, 2012by Yoshio Mimura, Kobe, Japan
19890
198902 = (12 + 9)(22 + 9)(122 + 9)(1412 + 9) = (12 + 9)(22 + 9)(152 + 9)(1142 + 9)
= (12 + 9)(22 + 9)(52 + 9)(122 + 9)(242 + 9) = (112 + 9)(122 + 9)(1412 + 9)
= (112 + 9)(152 + 9)(1142 + 9) = (122 + 9)(392 + 9)(412 + 9)
= (22 + 9)(112 + 9)(122 + 9)(392 + 9) = (22 + 9)(122 + 9)(152 + 9)(292 + 9)
= (22 + 9)(32 + 9)(112 + 9)(1142 + 9) = (22 + 9)(392 + 9)(1412 + 9)
= (22 + 9)(42 + 9)(52 + 9)(122 + 9)(152 + 9) = (22 + 9)(52 + 9)(242 + 9)(392 + 9)
= (22 + 9)(52 + 9)(62 + 9)(112 + 9)(122 + 9) = (22 + 9)(52 + 9)(62 + 9)(1412 + 9)
= (32 + 9)(122 + 9)(3792 + 9) = (32 + 9)(412 + 9)(1142 + 9) = (32 + 9)(52 + 9)(8042 + 9)
= (52 + 9)(112 + 9)(122 + 9)(242 + 9) = (52 + 9)(242 + 9)(1412 + 9)
= (52 + 9)(542 + 9)(632 + 9) = (52 + 9)(62 + 9)(122 + 9)(412 + 9).
by Yoshio Mimura, Kobe, Japan
19893
198932 = 3772 + 3782 + 3792 + ... + 10742.
Page of Squares : First Upload February 18, 2012 ; Last Revised February 18, 2012by Yoshio Mimura, Kobe, Japan
19909
199092 = 9253 - 9243 + 9233 - 9223 + ... + 13.
Page of Squares : First Upload February 18, 2012 ; Last Revised February 18, 2012by Yoshio Mimura, Kobe, Japan
19912
199122 = 8022 + 8032 + 8042 + ... + 11942.
Page of Squares : First Upload February 18, 2012 ; Last Revised February 18, 2012by Yoshio Mimura, Kobe, Japan
19926
199262 = (22 + 2)(52 + 2)(222 + 2)(712 + 2).
Page of Squares : First Upload February 1, 2014 ; Last Revised February 1, 2014by Yoshio Mimura, Kobe, Japan
19928
(199282 + 6) = (12 + 6)(52 + 6)(72 + 6)(112 + 6)(162 + 6).
Page of Squares : First Upload February 18, 2012 ; Last Revised February 18, 2012by Yoshio Mimura, Kobe, Japan
19930
199302± 3 are primes.
Page of Squares : First Upload February 1, 2014 ; Last Revised February 1, 2014by Yoshio Mimura, Kobe, Japan
19938
199382± 5 are primes.
Page of Squares : First Upload February 1, 2014 ; Last Revised February 1, 2014by Yoshio Mimura, Kobe, Japan
19940
19940, 19941, 19942, 19943 and 19944 are consecutive integers having square factors (the 10th case).
Page of Squares : First Upload December 14, 2013 ; Last Revised December 14, 2013by Yoshio Mimura, Kobe, Japan
19950
199502 = 1225 * 1226 + 1227 * 1228 + 1229 * 1230 + 1231 * 1232 + ... + 1615 * 1616.
Page of Squares : First Upload February 18, 2012 ; Last Revised February 18, 2012by Yoshio Mimura, Kobe, Japan
19962
199622± 5 are primes.
Page of Squares : First Upload February 1, 2014 ; Last Revised February 1, 2014by Yoshio Mimura, Kobe, Japan