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72000

410² + 72000 = 490², 410² - 72000 = 310².

Page of Squares : First Upload November 3, 2012 ; Last Revised November 3, 2012
by Yoshio Mimura, Kobe, Japan

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72030

72030² = (1² + 6)(8² + 6)(27² + 6)(120² + 6) = (22² + 6)(27² + 6)(120² + 6).

Page of Squares : First Upload March 29, 2014 ; Last Revised March 29, 2014
by Yoshio Mimura, Kobe, Japan

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72051

72051²± 2 are primes.

Page of Squares : First Upload March 29, 2014 ; Last Revised March 29, 2014
by Yoshio Mimura, Kobe, Japan

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72058

72058²± 3 are primes.

Page of Squares : First Upload March 29, 2014 ; Last Revised March 29, 2014
by Yoshio Mimura, Kobe, Japan

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72062

72062²± 3 are primes.

Page of Squares : First Upload March 29, 2014 ; Last Revised March 29, 2014
by Yoshio Mimura, Kobe, Japan

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72066

72066²± 5 are primes.

Page of Squares : First Upload March 29, 2014 ; Last Revised March 29, 2014
by Yoshio Mimura, Kobe, Japan

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72072

72072² = (2² - 1)(3² - 1)(8² - 1)(12² - 1)(155² - 1) = (2² - 1)(10² - 1)(12² - 1)(13² - 1)(27² - 1)
= (2² - 1)(10² - 1)(27² - 1)(155² - 1) = (3² - 1)(8² - 1)(10² - 1)(12² - 1)(27² - 1)
= (5² - 1)(8² - 1)(12² - 1)(155² - 1).

Page of Squares : First Upload March 29, 2014 ; Last Revised March 29, 2014
by Yoshio Mimura, Kobe, Japan

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72080

72080² = (1² + 4)(2² + 4)(7² + 4)(26² + 4)(60² + 4) = (2² + 4)(6² + 4)(7² + 4)(9² + 4)(60² + 4)
= (2² + 4)(7² + 4)(8² + 4)(9² + 4)(46² + 4) = (2² + 4)(7² + 4)(46² + 4)(76² + 4)
= (2² + 4)(9² + 4)(46² + 4)(60² + 4) = (26² + 4)(46² + 4)(60² + 4)
= (6² + 4)(7² + 4)(26² + 4)(60² + 4) = (7² + 4)(8² + 4)(26² + 4)(46² + 4).

Page of Squares : First Upload March 29, 2014 ; Last Revised March 29, 2014
by Yoshio Mimura, Kobe, Japan

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72090

72090² = (20² + 5)(23² + 5)(155² + 5).

Page of Squares : First Upload March 29, 2014 ; Last Revised March 29, 2014
by Yoshio Mimura, Kobe, Japan

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72118

72118² = 456 x 457 + 458 x 459 + 460 x 461 + 462 x 463 + ... + 3150 x 3151.

Page of Squares : First Upload November 3, 2012 ; Last Revised November 3, 2012
by Yoshio Mimura, Kobe, Japan

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72126

72126²± 5 are primes.

Page of Squares : First Upload March 29, 2014 ; Last Revised March 29, 2014
by Yoshio Mimura, Kobe, Japan

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72150

72150² = (2² + 9)(4² + 9)(11² + 9)(18² + 9)(19² + 9) = (2² + 9)(4² + 9)(11² + 9)(351² + 9)
= (4² + 9)(18² + 9)(19² + 9)(41² + 9) = (4² + 9)(41² + 9)(351² + 9).

Page of Squares : First Upload March 29, 2014 ; Last Revised March 29, 2014
by Yoshio Mimura, Kobe, Japan

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72216

72216² = (4² + 8)(13² + 8)(1108² + 8).

Page of Squares : First Upload March 29, 2014 ; Last Revised March 29, 2014
by Yoshio Mimura, Kobe, Japan

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72230

72230²± 3 are primes.

Page of Squares : First Upload March 29, 2014 ; Last Revised March 29, 2014
by Yoshio Mimura, Kobe, Japan

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72249

72249²± 2 are primes.

Page of Squares : First Upload March 29, 2014 ; Last Revised March 29, 2014
by Yoshio Mimura, Kobe, Japan

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72285

72285² = 5225121225, a square with 3 kinds of digits.

Page of Squares : First Upload November 3, 2012 ; Last Revised November 3, 2012
by Yoshio Mimura, Kobe, Japan

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72303

72303²± 2 are primes.

Page of Squares : First Upload March 29, 2014 ; Last Revised March 29, 2014
by Yoshio Mimura, Kobe, Japan

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72312

72312²± 5 are primes.

Page of Squares : First Upload March 29, 2014 ; Last Revised March 29, 2014
by Yoshio Mimura, Kobe, Japan

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72324

72324² = (1² + 5)(3² + 5)(11² + 5)(703² + 5).

Page of Squares : First Upload March 29, 2014 ; Last Revised March 29, 2014
by Yoshio Mimura, Kobe, Japan

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72335

72335² = 5232352225, a square with 3 kinds of digits.

Page of Squares : First Upload November 3, 2012 ; Last Revised November 3, 2012
by Yoshio Mimura, Kobe, Japan

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72351

72351²± 2 are primes.

Page of Squares : First Upload March 29, 2014 ; Last Revised March 29, 2014
by Yoshio Mimura, Kobe, Japan

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72361

72361 = 269², a square with different digits.

Page of Squares : First Upload November 3, 2012 ; Last Revised November 3, 2012
by Yoshio Mimura, Kobe, Japan

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72369

72369² = (3² + 2)(7² + 2)(27² + 2)(113² + 2) = (3² + 8)(5² + 8)(11² + 8)(269² + 8)
= (3² + 8)(71² + 8)(247² + 8).

Page of Squares : First Upload March 29, 2014 ; Last Revised March 29, 2014
by Yoshio Mimura, Kobe, Japan

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72384

425² + 72384 = 503², 425² - 72384 = 329².

Page of Squares : First Upload November 3, 2012 ; Last Revised November 3, 2012
by Yoshio Mimura, Kobe, Japan

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72398

72398²± 3 are primes.

72398² = 462² + 463² + 464² + ... + 2510².

Page of Squares : First Upload November 3, 2012 ; Last Revised March 29, 2014
by Yoshio Mimura, Kobe, Japan

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72414

72414²± 5 are primes.

Page of Squares : First Upload March 29, 2014 ; Last Revised March 29, 2014
by Yoshio Mimura, Kobe, Japan

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72432

72432² = 2714 x 2715 + 2716 x 2717 + 2718 x 2719 + 2720 x 2721 + ... + 3718 x 3719.

Page of Squares : First Upload November 3, 2012 ; Last Revised November 3, 2012
by Yoshio Mimura, Kobe, Japan

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72475

72475² = 5252625625, a square with 3 kinds of digits.

Page of Squares : First Upload November 3, 2012 ; Last Revised November 3, 2012
by Yoshio Mimura, Kobe, Japan

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72495

72495² = 5255525025, a square with 3 kinds of digits.

Page of Squares : First Upload November 3, 2012 ; Last Revised November 3, 2012
by Yoshio Mimura, Kobe, Japan

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72498

72498²± 5 are primes.

Page of Squares : First Upload March 29, 2014 ; Last Revised March 29, 2014
by Yoshio Mimura, Kobe, Japan

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72543

72543²± 2 are primes.

Page of Squares : First Upload March 29, 2014 ; Last Revised March 29, 2014
by Yoshio Mimura, Kobe, Japan

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72576

390² + 72576 = 474², 390² - 72576 = 282².

72576² = (2² - 1)(3² - 1)(5² - 1)(7² - 1)(8² - 1)(55² - 1).

Page of Squares : First Upload November 3, 2012 ; Last Revised November 3, 2012
by Yoshio Mimura, Kobe, Japan

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72600

275² + 72600 = 385², 275² - 72600 = 55².

Page of Squares : First Upload November 3, 2012 ; Last Revised November 3, 2012
by Yoshio Mimura, Kobe, Japan

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72608

72608²± 3 are primes.

Page of Squares : First Upload March 29, 2014 ; Last Revised March 29, 2014
by Yoshio Mimura, Kobe, Japan

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72618

72618² = (1² + 3)(4² + 3)(6² + 3)(12² + 3)(110² + 3) = (2² + 3)(3² + 3)(72² + 3)(110² + 3)
= (2² + 3)(4² + 3)(6² + 3)(9² + 3)(110² + 3) = (2² + 3)(4² + 3)(7² + 3)(12² + 3)(72² + 3)
= (2² + 3)(6² + 3)(61² + 3)(72² + 3) = (4² + 3)(6² + 3)(37² + 3)(72² + 3)
= (4² + 3)(12² + 3)(19² + 3)(72² + 3) = (9² + 3)(72² + 3)(110² + 3).

Page of Squares : First Upload March 29, 2014 ; Last Revised March 29, 2014
by Yoshio Mimura, Kobe, Japan

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72621

72621² = 5273809641, a square with different digits.

Page of Squares : First Upload November 3, 2012 ; Last Revised November 3, 2012
by Yoshio Mimura, Kobe, Japan

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72624

72624² = (2² + 8)(48² + 8)(436² + 8).

Page of Squares : First Upload March 29, 2014 ; Last Revised March 29, 2014
by Yoshio Mimura, Kobe, Japan

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72626

72626²± 3 are primes.

Page of Squares : First Upload March 29, 2014 ; Last Revised March 29, 2014
by Yoshio Mimura, Kobe, Japan

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72688

72688²± 3 are primes.

Page of Squares : First Upload March 29, 2014 ; Last Revised March 29, 2014
by Yoshio Mimura, Kobe, Japan

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72693

72693²± 2 are primes.

Page of Squares : First Upload March 29, 2014 ; Last Revised March 29, 2014
by Yoshio Mimura, Kobe, Japan

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72759

72759²± 2 are primes.

Page of Squares : First Upload March 29, 2014 ; Last Revised March 29, 2014
by Yoshio Mimura, Kobe, Japan

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72772

72772²± 3 are primes.

Page of Squares : First Upload March 29, 2014 ; Last Revised March 29, 2014
by Yoshio Mimura, Kobe, Japan

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72789

(72789² + 9) = (2² + 9)(8² + 9)(12² + 9)(13² + 9)(14² + 9).

Page of Squares : First Upload November 3, 2012 ; Last Revised November 3, 2012
by Yoshio Mimura, Kobe, Japan

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72790

72790²± 3 are primes.

Page of Squares : First Upload March 29, 2014 ; Last Revised March 29, 2014
by Yoshio Mimura, Kobe, Japan

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72800

72800² = (6² - 1)(9² - 1)(27² - 1)(51² - 1).

Page of Squares : First Upload March 29, 2014 ; Last Revised March 29, 2014
by Yoshio Mimura, Kobe, Japan

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72832

72832² = (5² + 7)(12875² + 7).

Page of Squares : First Upload March 29, 2014 ; Last Revised March 29, 2014
by Yoshio Mimura, Kobe, Japan

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72860

72860²± 3 are primes.

Page of Squares : First Upload March 29, 2014 ; Last Revised March 29, 2014
by Yoshio Mimura, Kobe, Japan

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72864

72864² = (7² - 1)(10² - 1)(1057² - 1).

Page of Squares : First Upload March 29, 2014 ; Last Revised March 29, 2014
by Yoshio Mimura, Kobe, Japan

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72891

72891²± 2 are primes.

Page of Squares : First Upload March 29, 2014 ; Last Revised March 29, 2014
by Yoshio Mimura, Kobe, Japan

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72900

45³ + 72900 = 405², 45³ - 72900 = 135².

Page of Squares : First Upload November 3, 2012 ; Last Revised November 3, 2012
by Yoshio Mimura, Kobe, Japan

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72912

72912² = (1² + 3)(2² + 3)(3² + 3)(5² + 3)(9² + 3)(82² + 3)
= (1² + 3)(2² + 3)(9² + 3)(11² + 3)(135² + 3) = (1² + 3)(5² + 3)(11² + 3)(12² + 3)(51² + 3)
= (1² + 3)(5² + 3)(51² + 3)(135² + 3) = (2² + 3)(3² + 3)(5² + 3)(11² + 3)(135² + 3)
= (2² + 3)(5² + 3)(9² + 3)(11² + 3)(51² + 3) = (3² + 3)(11² + 3)(37² + 3)(51² + 3)
= (5² + 3)(9² + 3)(11² + 3)(135² + 3).

Page of Squares : First Upload March 29, 2014 ; Last Revised March 29, 2014
by Yoshio Mimura, Kobe, Japan

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72913

72913² = (4² + 1)(17684² + 1).

Page of Squares : First Upload November 16, 2013 ; Last Revised November 16, 2013
by Yoshio Mimura, Kobe, Japan

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72928

72928² = (1² + 7)(3² + 7)(6² + 7)(983² + 7) = (1² + 7)(6² + 7)(29² + 7)(135² + 7)
= (6² + 7)(11² + 7)(983² + 7).

Page of Squares : First Upload March 29, 2014 ; Last Revised March 29, 2014
by Yoshio Mimura, Kobe, Japan

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72954

72954²± 5 are primes.

Page of Squares : First Upload March 29, 2014 ; Last Revised March 29, 2014
by Yoshio Mimura, Kobe, Japan

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72974

72974²± 3 are primes.

Page of Squares : First Upload March 29, 2014 ; Last Revised March 29, 2014
by Yoshio Mimura, Kobe, Japan

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