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15085

15085² = 227557225 is a square with 3 kinds of digits (2,5,7).

Page of Squares : First Upload January 21, 2012 ; Last Revised January 21, 2012
by Yoshio Mimura, Kobe, Japan

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15109

15109² = 228281881 is a square with 3 kinds of digits (1,2,8).

Page of Squares : First Upload January 21, 2012 ; Last Revised January 21, 2012
by Yoshio Mimura, Kobe, Japan

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15120

15120² = 12² / 3² - 4² + 5² * 6² * 7² * 8² * 9²
= 12² - 3² * 4² + 5² * 6² * 7² * 8² * 9².

Page of Squares : First Upload January 21, 2012 ; Last Revised January 21, 2012
by Yoshio Mimura, Kobe, Japan

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15180

15180² = 230432400, and 2304 = 48², 32400 = 180².

Page of Squares : First Upload January 21, 2012 ; Last Revised January 21, 2012
by Yoshio Mimura, Kobe, Japan

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15219

15219² = 230432400, and 2304 = 48², 32400 = 180².

(15219² - 3) = (4² - 3)(5² - 3)(6² - 3)(10² - 3)(16² - 3)
= (2² - 3)(4² - 3)(5² - 3)(6² - 3)(10² - 3)(16² - 3).

Page of Squares : First Upload January 21, 2012 ; Last Revised January 21, 2012
by Yoshio Mimura, Kobe, Japan

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15302

15302² = 3112² + 3113² + 3114² + ... + 3135².

Page of Squares : First Upload January 21, 2012 ; Last Revised January 21, 2012
by Yoshio Mimura, Kobe, Japan

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15325

15325² = S2(355) + S2(870), where S2(n) = 1² + 2² + 3² + ... + n².

Page of Squares : First Upload January 21, 2012 ; Last Revised January 21, 2012
by Yoshio Mimura, Kobe, Japan

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15353

15353² = 235714609 is a square consisting of different digits.

Page of Squares : First Upload January 21, 2012 ; Last Revised January 21, 2012
by Yoshio Mimura, Kobe, Japan

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15376

15376 is a zigzag square (124²) consisting of different digits.

Page of Squares : First Upload January 21, 2012 ; Last Revised January 21, 2012
by Yoshio Mimura, Kobe, Japan

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15460

The sum of (7m + 4)² is 419616² for 4 <= 7m + 4 <= 15460.

Page of Squares : First Upload January 21, 2012 ; Last Revised January 21, 2012
by Yoshio Mimura, Kobe, Japan

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15470

15470² = 1404 * 1405 + 1406 * 1407 + 1408 * 1409 + 1410 * 1411 + ... + 1612 * 1613.

Page of Squares : First Upload January 21, 2012 ; Last Revised January 21, 2012
by Yoshio Mimura, Kobe, Japan

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15492

15492² = 240002064 is a square with even digits.

Page of Squares : First Upload January 21, 2012 ; Last Revised January 21, 2012
by Yoshio Mimura, Kobe, Japan

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15541

(15541² + 7) = (1² + 7)(5² + 7)(8²2 + 7)(9²2 + 7)(12² + 7)
= (2² + 7)(3² + 7)(8² + 7)(11² + 7)(12² + 7).

Page of Squares : First Upload January 21, 2012 ; Last Revised January 21, 2012
by Yoshio Mimura, Kobe, Japan

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15576

15576² = 58² + 259² + 260² + ... + 906².

Page of Squares : First Upload January 21, 2012 ; Last Revised January 21, 2012
by Yoshio Mimura, Kobe, Japan

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15614

15614² = S2(536) + S2(832), where S2(n) = 1² + 2² + 3² + ... + n².

Page of Squares : First Upload January 21, 2012 ; Last Revised January 21, 2012
by Yoshio Mimura, Kobe, Japan

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15622

15622² = 244046884 is a square with even digits.

Page of Squares : First Upload January 21, 2012 ; Last Revised January 21, 2012
by Yoshio Mimura, Kobe, Japan

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15625

15625 is a square (125²), and 1 = 1², 5625 = 75².

Page of Squares : First Upload January 21, 2012 ; Last Revised January 21, 2012
by Yoshio Mimura, Kobe, Japan

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15681

15681² = 245893761 is a square consisting of different digits.

Page of Squares : First Upload January 21, 2012 ; Last Revised January 21, 2012
by Yoshio Mimura, Kobe, Japan

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15762

15762² = 248440644 is a square with even digits.

Page of Squares : First Upload January 21, 2012 ; Last Revised January 21, 2012
by Yoshio Mimura, Kobe, Japan

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15774

15774² = 899² + 900² + 901² + ... + 1137².

Page of Squares : First Upload January 21, 2012 ; Last Revised January 21, 2012
by Yoshio Mimura, Kobe, Japan

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15791

15791 is the second prime for which the Legendre symbol (n/15791) = 1 for n = 1,2,3,...,22.

Page of Squares : First Upload January 21, 2012 ; Last Revised January 21, 2012
by Yoshio Mimura, Kobe, Japan

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15804

15804² = 9³ + 36³ + 487³ + 512³.

Page of Squares : First Upload January 21, 2012 ; Last Revised January 21, 2012
by Yoshio Mimura, Kobe, Japan

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15852

15852² = 6³ + 92³ + 487³ + 513³.

Page of Squares : First Upload January 21, 2012 ; Last Revised January 21, 2012
by Yoshio Mimura, Kobe, Japan

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15876

15876 is a square (126²) consisting of different digits.

Page of Squares : First Upload January 21, 2012 ; Last Revised January 21, 2012
by Yoshio Mimura, Kobe, Japan

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15878

15878² = S2(572) + S2(828), where S2(n) = 1² + 2² + 3² + ... + n².

Page of Squares : First Upload January 21, 2012 ; Last Revised January 21, 2012
by Yoshio Mimura, Kobe, Japan

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15884

15884² = 665² + 666² + 667² + ... + 1016².

Page of Squares : First Upload January 21, 2012 ; Last Revised January 21, 2012
by Yoshio Mimura, Kobe, Japan

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15885

15885² = 252333225 is a square with 3 kinds of digits (2,3,5).

Page of Squares : First Upload January 21, 2012 ; Last Revised January 21, 2012
by Yoshio Mimura, Kobe, Japan

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15961

15961² = S2(714) + S2(736), where S2(n) = 1² + 2² + 3² + ... + n².

Page of Squares : First Upload January 21, 2012 ; Last Revised January 21, 2012
by Yoshio Mimura, Kobe, Japan

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15963

15963² = 254817369 is a square consisting of different digits.

Page of Squares : First Upload January 21, 2012 ; Last Revised January 21, 2012
by Yoshio Mimura, Kobe, Japan

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15975

15975² = 301² + 302² + 303² + ... + 925².

Page of Squares : First Upload January 21, 2012 ; Last Revised January 21, 2012
by Yoshio Mimura, Kobe, Japan

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15985

15985² = 255520225 is a square with 3 kinds of digits (0,2,5).

Page of Squares : First Upload January 21, 2012 ; Last Revised January 21, 2012
by Yoshio Mimura, Kobe, Japan

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