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74000

74000² = (1² + 4)(2² + 4)(4² + 4)(11² + 4)(234² + 4) = (1² + 4)(2² + 4)(11² + 4)(12² + 4)(86² + 4)
= (1² + 4)(2² + 4)(86² + 4)(136² + 4) = (4² + 4)(6² + 4)(11² + 4)(234² + 4)
= (6² + 4)(11² + 4)(12² + 4)(86² + 4) = (6² + 4)(86² + 4)(136² + 4).

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

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74008

74008² = (2² + 7)(15² + 7)(1465² + 7).

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

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74046

74046² = (1² + 5)(6² + 5)(4721² + 5).

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

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74050

74050²= 2644 x 2645 + 2645 x 2646 + 2646 x 2647 +...+ 3268 x 3269.

Page of Squares : First Upload November 10, 2012 ; Last Revised November 10, 2012
by Yoshio Mimura, Kobe, Japan

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74052

74052² = (3² + 8)(5² + 8)(38² + 8)(82² + 8) = (3² + 8)(6² + 8)(38² + 8)(71² + 8).

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

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74058

74058²± 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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74102

74102² = (8² + 3)(9053² + 3).

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

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74120

74120² = (1² + 4)(66² + 4)(502² + 4) = (2² + 4)(9² + 4)(43² + 4)(66² + 4)
= (26² + 4)(43² + 4)(66² + 4).

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

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74144

74144²± 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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74150

74150² = 2804 x 2805 + 2806 x 2807 + 2808 x 2809 + 2810 x 2811 + ... + 3802 x 3803.

Page of Squares : First Upload November 10, 2012 ; Last Revised November 10, 2012
by Yoshio Mimura, Kobe, Japan

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74172

74172²± 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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74186

74186²± 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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74208

74208² = 1859 x 1860 + 1861 x 1862 + 1863 x 1864 + 1865 x 1866 + ... + 3403 x 3404.

Page of Squares : First Upload November 10, 2012 ; Last Revised November 10, 2012
by Yoshio Mimura, Kobe, Japan

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74256

74256² = 5513953536, a square with odd digits except the last digit 6.

305² + 74256 = 409², 305² - 74256 = 137².

Page of Squares : First Upload November 10, 2012 ; Last Revised August 31, 2013
by Yoshio Mimura, Kobe, Japan

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74298

74298² = (3² + 5)(4² + 5)(42² + 5)(103² + 5) = (17² + 5)(42² + 5)(103² + 5).

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

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74316

74316² = (2² + 8)(41² + 8)(522² + 8).

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

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74328

74328² = (3² + 3)(15² + 3)(1421² + 3).

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

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74350

74350²± 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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74358

74358² = (2² + 2)(5² + 2)(22² + 2)(265² + 2).

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

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74368

74368²± 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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74382

b74382743824 = 272732².

74382² = 1253² + 1255² + 1257² + 1259² + ... + 3275².

Page of Squares : First Upload November 10, 2012 ; Last Revised November 10, 2012
by Yoshio Mimura, Kobe, Japan

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74396

74396²± 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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74400

74400² = (2² - 1)(3² - 1)(61² - 1)(249² - 1) = (5² - 1)(61² - 1)(249² - 1).

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

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74414

74414²± 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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74456

74456²± 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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74499

74499² = 5550101001, a square with 3 kinds of digits.

Page of Squares : First Upload November 10, 2012 ; Last Revised November 10, 2012
by Yoshio Mimura, Kobe, Japan

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74523

74523²± 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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74529

74529 = 273², a zigzag square with different digits.

Page of Squares : First Upload November 10, 2012 ; Last Revised November 10, 2012
by Yoshio Mimura, Kobe, Japan

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74530

74530² = (1² + 1)(12² + 1)(16² + 1)(273² + 1) = (16² + 1)(17² + 1)(273² + 1).

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

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74534

74534² = 5555317156, a square with odd digits except the last digit 6.

Page of Squares : First Upload August 31, 2013 ; Last Revised August 31, 2013
by Yoshio Mimura, Kobe, Japan

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74541

74541²± 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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74562

74562² = (7² + 2)(16² + 2)(24² + 2)(27² + 2).

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

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74613

74613² = (2² - 1)(18² - 1)(20² - 1)(120² - 1).

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

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74624

74624² = (1² + 7)(2² + 7)(11² + 7)(24² + 7)(29² + 7) = (1² + 7)(3² + 7)(9² + 7)(24² + 7)(29² + 7)
= (5² + 7)(29² + 7)(453² + 7) = (9² + 7)(11² + 7)(24² + 7)(29² + 7).

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

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74638

74638²± 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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74676

74676² = (2² + 3)(39² + 3)(723² + 3).

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

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74686

74686²± 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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74690

74690² = (4² + 6)(73² + 6)(218² + 6).

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

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74732

74732²± 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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74750

74750² = 168² + 169² + 170² + ... + 2559².

Page of Squares : First Upload November 10, 2012 ; Last Revised November 10, 2012
by Yoshio Mimura, Kobe, Japan

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74768

74768² = 1088² + 1089² + 1090² + ... + 2623².

Page of Squares : First Upload November 10, 2012 ; Last Revised November 10, 2012
by Yoshio Mimura, Kobe, Japan

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74772

74772²± 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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74774

74774²± 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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74803

74803² = 1917² + 1918² + 1919² + ... + 2877².

Page of Squares : First Upload November 10, 2012 ; Last Revised November 10, 2012
by Yoshio Mimura, Kobe, Japan

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74822

74822²= 603 x 604 + 604 x 605 + 605 x 606 +...+ 2571 x 2572.

Page of Squares : First Upload November 10, 2012 ; Last Revised November 10, 2012
by Yoshio Mimura, Kobe, Japan

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74848

74848, 74849, 74850, 74851, 74852 and 74853 are consecutive integers having square factors (the 8th case).

Page of Squares : First Upload December 14, 2013 ; Last Revised December 14, 2013
by Yoshio Mimura, Kobe, Japan

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74852

74852² = 7592² + 7593² + 7594² + ... + 7687².

Page of Squares : First Upload November 10, 2012 ; Last Revised November 10, 2012
by Yoshio Mimura, Kobe, Japan

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74865

74865² = 10563² + 10564² + 10565² + ... + 10612².

Page of Squares : First Upload November 10, 2012 ; Last Revised November 10, 2012
by Yoshio Mimura, Kobe, Japan

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74880

74880² = (11² - 1)(53² - 1)(129² - 1) = (2² - 1)(3² - 1)(5² - 1)(9² - 1)(14² - 1)(25² - 1)
= (2² - 1)(5² - 1)(7² - 1)(25² - 1)(51² - 1) = (3² - 1)(4² - 1)(53² - 1)(129² - 1)
= (3² - 1)(7² - 1)(11² - 1)(14² - 1)(25² - 1) = (7² - 1)(14² - 1)(25² - 1)(31² - 1).

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

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74888

74888² = (1² + 7)(2² + 7)(17² + 7)(464² + 7) = (1² + 7)(57² + 7)(464² + 7)
= (2² + 7)(17² + 7)(20² + 7)(65² + 7) = (9² + 7)(17² + 7)(464² + 7) = (20² + 7)(57² + 7)(65² + 7).

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

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74898

74898² = 343² + 345² + 347² + 349² + ... + 3229².

74898² = (2² + 2)(5² + 2)(13² + 2)(450² + 2) = (5² + 2)(32² + 2)(450² + 2).

Page of Squares : First Upload November 10, 2012 ; Last Revised March 29, 2014
by Yoshio Mimura, Kobe, Japan

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74907

74907² = (4² + 5)(6² + 5)(16² + 5)(158² + 5) = (6² + 5)(74² + 5)(158² + 5).

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

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74916

74916²± 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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74946

74946² = 5616902916, and 56169 = 237², 2916 = 54².

Page of Squares : First Upload November 10, 2012 ; Last Revised November 10, 2012
by Yoshio Mimura, Kobe, Japan

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74996

74996²± 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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