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70004

70004² = (2² + 7)(21107² + 7).

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

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70092

70092² = (2² + 2)(4² + 2)(8² + 2)(23² + 2)(36² + 2) = (1² + 8)(5² + 8)(6² + 8)(13² + 8)(46² + 8)
= (1² + 8)(13² + 8)(38² + 8)(46² + 8) = (6² + 8)(13² + 8)(17² + 8)(46² + 8).

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

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70107

70107² = 4914991449, 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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70173

70173² = 4924249929, 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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70182

70182²± 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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70200

677² + 70200 = 727², 677² - 70200 = 623².

70200² = (26² - 1)(51² - 1)(53² - 1).

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

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70210

70210² = 9082 x 9083 + 9084 x 9085 + 9086 x 9087 + 9088 x 9089 + ... + 9198 x 9199.

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

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70224

70224² = (2² - 1)(153² - 1)(265² - 1) = (13² - 1)(15² - 1)(362² - 1) = (20² - 1)(23² - 1)(153² - 1).

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

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70233

70233² = (71² + 2)(989² + 2).

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

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70250

70250² = (2² + 1)(7² + 1)(4443² + 1).

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

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70260

The quadratic polynomial 70260X² - 346740X + 414121 takes the values 371², 41², 79², 389², 661², 929² at X = 1, 2,..., 6.

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

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70278

70278² = (2² + 9)(5² + 9)(37² + 9)(90² + 9).

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

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70286

70286²± 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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70288

70288² = (1² + 7)(4² + 7)(5² + 7)(916² + 7) = (1² + 7)(27² + 7)(916² + 7)
= (3² + 7)(19² + 7)(916² + 7).

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

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70313

70313² = 20⁵ + 68⁵ + 81⁵.

Page of Squares : First Upload September 18, 2013 ; Last Revised September 18, 2013
by Yoshio Mimura, Kobe, Japan

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70317

70317²± 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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70323

70323² = (19² + 2)(3691² + 2).

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

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70338

70338² = 4947434244, a square pegged by 4.

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

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70356

70356²± 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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70377

70377²± 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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70397

70397² = 807² + 808² + 809² + ... + 2487².

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

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70423

70423² = 4959398929, a square pegged by 9.

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

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70450

70450² = 4963202500, and 49 = 7², 63202500 = 7950².

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

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70456

The quadratic polynomial 70456X² - 479592X + 838161 takes the values 655², 401², 183², 217², 449², 705² at X = 1, 2,..., 6.

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

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70470

70470² = (2² + 5)(5² + 5)(13² + 5)(16² + 5)(20² + 5).

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

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70484

(70484² -6) = (4² - 6)(7² - 6)(11² - 6)(17² - 6)(19² - 6).

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

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70488

70488² = (5² + 8)(9² + 8)(16² + 8)(80² + 8) = (5² + 8)(28² + 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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70522

70522²± 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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70560

70560² = (13² - 1)(55² - 1)(99² - 1) = (2² - 1)(6² - 1)(8² - 1)(9² - 1)(97² - 1)
= (2² - 1)(6² - 1)(71² - 1)(97² - 1) = (3² - 1)(6² - 1)(8² - 1)(13² - 1)(41² - 1)
= (7² - 1)(8² - 1)(13² - 1)(99² - 1).

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

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70564

70564²± 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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70566

70566²± 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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70616

70616² = (1² + 3)(2² + 3)(7² + 3)(26² + 3)(71² + 3) = (1² + 3)(19² + 3)(26² + 3)(71² + 3)
= (5² + 3)(7² + 3)(26² + 3)(71² + 3).

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

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70625

70625² = 4987890625, and 49 = 7², 87890625 = 9375².

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

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70653

70653²± 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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70700

70700² = (2² + 6)(8² + 6)(14² + 6)(188² + 6).

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

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70707

70707² = (6² + 3)(12² + 3)(16² + 3)(58² + 3).

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

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70720

70720² = (1² + 4)(2² + 4)(10² + 4)(26² + 4)(42² + 4) = (2² + 4)(3² + 4)(6² + 4)(26² + 4)(42² + 4)
= (2² + 4)(4² + 4)(8² + 4)(16² + 4)(42² + 4) = (2² + 4)(6² + 4)(9² + 4)(10² + 4)(42² + 4)
= (2² + 4)(6² + 4)(42² + 4)(94² + 4) = (2² + 4)(10² + 4)(26² + 4)(94² + 4)
= (6² + 4)(10² + 4)(26² + 4)(42² + 4).

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

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70756

70756 = 266², a zigzag square.

70756²± 3 are primes.

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

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70760

70760² = (1² + 4)(5² + 4)(22² + 4)(266² + 4) = (22² + 4)(39² + 4)(82² + 4).

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

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70784

70784² = (1² + 7)(7² + 7)(25² + 7)(133² + 7) = (21² + 7)(25² + 7)(133² + 7).

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

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70810

70810² = (22² + 1)(27² + 1)(119² + 1).

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

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70835

70835² = 2847² + 2849² + 2851² + 2853² + 2855²+ ... + 3759².

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

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70850

70850² = (3² + 4)(4² + 4)(11² + 4)(393² + 4) = (11² + 4)(16² + 4)(393² + 4)
= (1² + 9)(2² + 9)(4² + 9)(10² + 9)(119² + 9) = (4² + 9)(10² + 9)(11² + 9)(119² + 9).

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

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70910

70910² = 1950 x 1951 + 1952 x 1953 + 1954 x 1955 + 1956 x 1957 + ... + 3348 x 3349.

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

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70943

70943² = 1472² + 1473² + 1474² + ... + 2634².

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

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70959

70959² = 560² + 561² + 562² + ... + 2481².

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

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