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180000 - 189999

180180

1801802 = 2004 x 2005 + 2006 x 2007 + 2008 x 2009 + 2010 x 2011 + ... + 5874 x 5875.

Page of Squares : First Upload March 2, 2013 ; Last Revised March 2, 2013
by Yoshio Mimura, Kobe, Japan

180224

803 + 180224 = 8322, 803 - 180224 = 5762.

Page of Squares : First Upload March 2, 2013 ; Last Revised March 2, 2013
by Yoshio Mimura, Kobe, Japan

180625

180625 = 4252, a square eith different digits.

Page of Squares : First Upload March 2, 2013 ; Last Revised March 2, 2013
by Yoshio Mimura, Kobe, Japan

181362

1813622 = 6339 x 6340 + 6341 x 6342 + 6343 x 6344 + 6345 x 6346 + ... + 7673 x 7674.

Page of Squares : First Upload March 2, 2013 ; Last Revised March 2, 2013
by Yoshio Mimura, Kobe, Japan

181476

181476 = (182 + 12 + 42 + 72 + 62)2.

Page of Squares : First Upload March 2, 2013 ; Last Revised March 2, 2013
by Yoshio Mimura, Kobe, Japan

182086

1820862 = 33155311396, a square with odd digits except the last digit 6.

Page of Squares : First Upload September 21, 2013 ; Last Revised September 21, 2013
by Yoshio Mimura, Kobe, Japan

182576

1825762 = 33333995776, a square with odd digits except the last digit 6.

Page of Squares : First Upload September 21, 2013 ; Last Revised September 21, 2013
by Yoshio Mimura, Kobe, Japan

182634

1826342 = 33355177956, a square with odd digits except the last digit 6.

Page of Squares : First Upload September 21, 2013 ; Last Revised September 21, 2013
by Yoshio Mimura, Kobe, Japan

182756

1827562 = 33399755536, a square with odd digits except the last digit 6.

Page of Squares : First Upload September 21, 2013 ; Last Revised September 21, 2013
by Yoshio Mimura, Kobe, Japan

182818

1828182 = 33422421124, a square every digit of which is non-zero and smaller than 5.

Page of Squares : First Upload September 21, 2013 ; Last Revised September 21, 2013
by Yoshio Mimura, Kobe, Japan

182845

341 + 21341 + 28731 = 712,
342 + 21342 + 28732 = 35792,
343 + 21343 + 28733 = 1828452  (See 71).

Page of Squares : First Upload March 2, 2013 ; Last Revised March 2, 2013
by Yoshio Mimura, Kobe, Japan

183184

183184 = 4282 = (183)(184) (cf. 5732 = 328329, 7272 = 528529, 846~2 = 715716).

Page of Squares : First Upload March 2, 2013 ; Last Revised March 2, 2013
by Yoshio Mimura, Kobe, Japan

183286

1832862 = 33593757796, a square with odd digits except the last digit 6.

Page of Squares : First Upload September 21, 2013 ; Last Revised September 21, 2013
by Yoshio Mimura, Kobe, Japan

183425

1834252 = 33644730625, 3364 = 582, 4730625 = 21752.

Page of Squares : First Upload March 2, 2013 ; Last Revised March 2, 2013
by Yoshio Mimura, Kobe, Japan

183624

1836242 = 33717773376, a square with odd digits except the last digit 6.

Page of Squares : First Upload September 21, 2013 ; Last Revised September 21, 2013
by Yoshio Mimura, Kobe, Japan

183666

1836662 = 33733199556, a square with odd digits except the last digit 6.

Page of Squares : First Upload September 21, 2013 ; Last Revised September 21, 2013
by Yoshio Mimura, Kobe, Japan

183846

1838462 = 33799351716, a square with odd digits except the last digit 6.

Page of Squares : First Upload September 21, 2013 ; Last Revised September 21, 2013
by Yoshio Mimura, Kobe, Japan

183915

(1839152 -3) = (22 - 3)(42 - 3)(132 - 3)(142 - 3)(162 - 3)(182 - 3).

Page of Squares : First Upload March 2, 2013 ; Last Revised March 2, 2013
by Yoshio Mimura, Kobe, Japan

184162

1841622 is the sum of (30x + 1)2 for x = 0,1,2,...,14491.

Page of Squares : First Upload March 2, 2013 ; Last Revised March 2, 2013
by Yoshio Mimura, Kobe, Japan

184166

1841662 = 33917115556, a square with odd digits except the last digit 6.

Page of Squares : First Upload September 21, 2013 ; Last Revised September 21, 2013
by Yoshio Mimura, Kobe, Japan

184479

(1844792 + 9) = (42 + 9)(82 + 9)(122 + 9)(172 + 9)(202 + 9).

Page of Squares : First Upload March 2, 2013 ; Last Revised March 2, 2013
by Yoshio Mimura, Kobe, Japan

185511

1855112 = 34414331121, a square every digit of which is non-zero and smaller than 5.

Page of Squares : First Upload September 21, 2013 ; Last Revised September 21, 2013
by Yoshio Mimura, Kobe, Japan

185641

185641 is the 10th prime for which the Legendre symbol (a/185641) =1 for a = 1,2,3,...,28.

Page of Squares : First Upload March 2, 2013 ; Last Revised March 2, 2013
by Yoshio Mimura, Kobe, Japan

186120

1861202 = 1893 + 1903 + 1913 + 1923 + ... + 6113.

Page of Squares : First Upload March 2, 2013 ; Last Revised March 2, 2013
by Yoshio Mimura, Kobe, Japan

186184

1853 + 186184 = 25532, 1853 - 186184 = 24792.

Page of Squares : First Upload March 2, 2013 ; Last Revised March 2, 2013
by Yoshio Mimura, Kobe, Japan

186416

653 + 186416 = 6792, 653 - 186416 = 2972.

Page of Squares : First Upload March 2, 2013 ; Last Revised March 2, 2013
by Yoshio Mimura, Kobe, Japan

187456

1874562 = 35139751936, a square with odd digits except the last digit 6.

Page of Squares : First Upload September 21, 2013 ; Last Revised September 21, 2013
by Yoshio Mimura, Kobe, Japan

187460

1874602 = 889 x 890 + 891 x 892 + 893 x 894 + 895 x 896 + ... + 5957 x 5958.

Page of Squares : First Upload March 2, 2013 ; Last Revised March 2, 2013
by Yoshio Mimura, Kobe, Japan

187520

1875202 = 5426 x 5427 + 5428 x 5429 + 5430 x 5431 + 5432 x 5433 + ... + 7182 x 7183.

Page of Squares : First Upload March 2, 2013 ; Last Revised March 2, 2013
by Yoshio Mimura, Kobe, Japan

188020

1880202 = 2804 x 2805 + 2806 x 2807 + 2808 x 2809 + 2810 x 2811 + ... + 6162 x 6163.

Page of Squares : First Upload March 2, 2013 ; Last Revised March 2, 2013
by Yoshio Mimura, Kobe, Japan

189025

The quadratic polynomial 189025X2 - 1176470X + 1920601 takes the values 9662, 5692, 3042, 4892, 8742, 12912 at X = 1, 2,..., 6.

Page of Squares : First Upload March 2, 2013 ; Last Revised March 2, 2013
by Yoshio Mimura, Kobe, Japan

189084

1890842 = 1517 x 1518 + 1519 x 1520 + 1521 x 1522 + 1523 x 1524 + ... + 6017 x 6018.

Page of Squares : First Upload March 2, 2013 ; Last Revised March 2, 2013
by Yoshio Mimura, Kobe, Japan

189086

1890862 = 35753515396, a square with odd digits except the last digit 6.

Page of Squares : First Upload September 21, 2013 ; Last Revised September 21, 2013
by Yoshio Mimura, Kobe, Japan

189564

The quadratic polynomial 189564X2 - 892020X + 1078225 takes the values 6132, 2292, 3292, 7372, 11652, 15972 at X = 1, 2,..., 6.

Page of Squares : First Upload March 2, 2013 ; Last Revised March 2, 2013
by Yoshio Mimura, Kobe, Japan

189666

1896662 = 35973191556, a square with odd digits except the last digit 6.

Page of Squares : First Upload September 21, 2013 ; Last Revised September 21, 2013
by Yoshio Mimura, Kobe, Japan

189720

1897202 = 8775 x 8776 + 8777 x 8778 + 8779 x 8780 + 8781 x 8782 + ... + 9623 x 9624.

Page of Squares : First Upload March 2, 2013 ; Last Revised March 2, 2013
by Yoshio Mimura, Kobe, Japan