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66004

66004²± 3 are primes.

Page of Squares : First Upload March 26, 2014 ; Last Revised March 26, 2014
by Yoshio Mimura, Kobe, Japan

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66045

66045²± 2 are primes.

Page of Squares : First Upload March 26, 2014 ; Last Revised March 26, 2014
by Yoshio Mimura, Kobe, Japan

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66074

66074²± 3 are primes.

Page of Squares : First Upload March 26, 2014 ; Last Revised March 26, 2014
by Yoshio Mimura, Kobe, Japan

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66093

66093²± 2 are primes.

Page of Squares : First Upload March 26, 2014 ; Last Revised March 26, 2014
by Yoshio Mimura, Kobe, Japan

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66096

66096² = (1² + 8)(2² + 8)(3² + 8)(4² + 8)(8² + 8)(37² + 8)
= (1² + 8)(2² + 8)(8² + 8)(20² + 8)(37² + 8) = (1² + 8)(3² + 8)(8² + 8)(14² + 8)(44² + 8)
= (1² + 8)(4² + 8)(8² + 8)(14² + 8)(37² + 8) = (1² + 8)(4² + 8)(8² + 8)(530² + 8)
= (1² + 8)(10² + 8)(44² + 8)(48² + 8) = (3² + 8)(4² + 8)(8² + 8)(10² + 8)(37² + 8)
= (8² + 8)(10² + 8)(20² + 8)(37² + 8).

Page of Squares : First Upload March 26, 2014 ; Last Revised March 26, 2014
by Yoshio Mimura, Kobe, Japan

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66105

66105² = 4369871025, a square with different digits.

Page of Squares : First Upload October 20, 2012 ; Last Revised October 20, 2012
by Yoshio Mimura, Kobe, Japan

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66130

66130²± 3 are primes.

Page of Squares : First Upload March 26, 2014 ; Last Revised March 26, 2014
by Yoshio Mimura, Kobe, Japan

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66146

66146²± 3 are primes.

Page of Squares : First Upload March 26, 2014 ; Last Revised March 26, 2014
by Yoshio Mimura, Kobe, Japan

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66159

66159²± 2 are primes.

Page of Squares : First Upload March 26, 2014 ; Last Revised March 26, 2014
by Yoshio Mimura, Kobe, Japan

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66192

66192²± 5 are primes.

Page of Squares : First Upload March 26, 2014 ; Last Revised March 26, 2014
by Yoshio Mimura, Kobe, Japan

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66196

66196² = (8² + 3)(59² + 3)(137² + 3).

Page of Squares : First Upload March 26, 2014 ; Last Revised March 26, 2014
by Yoshio Mimura, Kobe, Japan

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66198

66198² = (3² + 2)(23² + 2)(24² + 2)(36² + 2) = (3² + 2)(36² + 2)(554² + 2).

Page of Squares : First Upload March 26, 2014 ; Last Revised March 26, 2014
by Yoshio Mimura, Kobe, Japan

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66219

66219²± 2 are primes.

Page of Squares : First Upload March 26, 2014 ; Last Revised March 26, 2014
by Yoshio Mimura, Kobe, Japan

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66240

66240² = (2² - 1)(5² - 1)(7² - 1)(24² - 1)(47² - 1) = (2² - 1)(9² - 1)(47² - 1)(91² - 1).

Page of Squares : First Upload March 26, 2014 ; Last Revised March 26, 2014
by Yoshio Mimura, Kobe, Japan

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66248

66248² = (1² + 3)(2² + 3)(5² + 3)(19² + 3)(124² + 3) = (1² + 3)(7² + 3)(37² + 3)(124² + 3).

Page of Squares : First Upload March 26, 2014 ; Last Revised March 26, 2014
by Yoshio Mimura, Kobe, Japan

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66250

66250² = (2² + 1)(7² + 1)(23² + 1)(182² + 1) = (1² + 4)(7² + 4)(11² + 4)(364² + 4).

Page of Squares : First Upload November 16, 2013 ; Last Revised March 26, 2014
by Yoshio Mimura, Kobe, Japan

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66256

66256² = (18² + 4)(20² + 4)(182² + 4).

Page of Squares : First Upload March 26, 2014 ; Last Revised March 26, 2014
by Yoshio Mimura, Kobe, Japan

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66272

66272²± 3 are primes.

Page of Squares : First Upload March 26, 2014 ; Last Revised March 26, 2014
by Yoshio Mimura, Kobe, Japan

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66276

66276² = 4392508176, a square with different digits.

Page of Squares : First Upload October 20, 2012 ; Last Revised October 20, 2012
by Yoshio Mimura, Kobe, Japan

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66300

66300² = (1² + 9)(4² + 9)(5² + 9)(11² + 9)(63² + 9) = (1² + 9)(5² + 9)(9² + 9)(379² + 9)
= (1² + 9)(11² + 9)(29² + 9)(63² + 9) = (2² + 9)(5² + 9)(9² + 9)(11² + 9)(29² + 9)
= (5² + 9)(9² + 9)(29² + 9)(41² + 9).

Page of Squares : First Upload March 26, 2014 ; Last Revised March 26, 2014
by Yoshio Mimura, Kobe, Japan

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66303

66303²± 2 are primes.

Page of Squares : First Upload March 26, 2014 ; Last Revised March 26, 2014
by Yoshio Mimura, Kobe, Japan

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66304

66304² = (5² + 7)(7² + 7)(17² + 7)(91² + 7).

Page of Squares : First Upload March 26, 2014 ; Last Revised March 26, 2014
by Yoshio Mimura, Kobe, Japan

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66346

66346² = 235 x 236 + 237 x 238 + 239 x 240 + 241 x 242 + ... + 2977 x 2978.

Page of Squares : First Upload October 20, 2012 ; Last Revised October 20, 2012
by Yoshio Mimura, Kobe, Japan

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66420

66420² = (1² + 5)(2² + 5)(5² + 5)(6² + 5)(7² + 5)(35² + 5)
= (1² + 5)(2² + 5)(5² + 5)(35² + 5)(47² + 5) = (5² + 5)(7² + 5)(35² + 5)(47² + 5).

Page of Squares : First Upload March 26, 2014 ; Last Revised March 26, 2014
by Yoshio Mimura, Kobe, Japan

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66492

66492²± 5 are primes.

Page of Squares : First Upload March 26, 2014 ; Last Revised March 26, 2014
by Yoshio Mimura, Kobe, Japan

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66507

66507²± 2 are primes.

Page of Squares : First Upload March 26, 2014 ; Last Revised March 26, 2014
by Yoshio Mimura, Kobe, Japan

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66508

66508² = (7² + 3)(9223² + 3).

Page of Squares : First Upload March 26, 2014 ; Last Revised March 26, 2014
by Yoshio Mimura, Kobe, Japan

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66515

66515² = 4424245225, a square with 3 kinds of digits.

Page of Squares : First Upload October 20, 2012 ; Last Revised October 20, 2012
by Yoshio Mimura, Kobe, Japan

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66518

66518²± 3 are primes.

Page of Squares : First Upload March 26, 2014 ; Last Revised March 26, 2014
by Yoshio Mimura, Kobe, Japan

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66528

66528² = (2² - 1)(3² - 1)(7² - 1)(10² - 1)(197² - 1) = (2² - 1)(5² - 1)(8² - 1)(23² - 1)(43² - 1)
= (2² - 1)(7² - 1)(10² - 1)(13² - 1)(43² - 1) = (3² - 1)(7² - 1)(8² - 1)(10² - 1)(43² - 1)
= (3² - 1)(8² - 1)(10² - 1)(13² - 1)(23² - 1) = (3² - 1)(10² - 1)(43² - 1)(55² - 1)
= (5² - 1)(7² - 1)(10² - 1)(197² - 1) = (8² - 1)(10² - 1)(13² - 1)(65² - 1).

Page of Squares : First Upload March 26, 2014 ; Last Revised March 26, 2014
by Yoshio Mimura, Kobe, Japan

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66555

66555² = (2² - 1)(16² - 1)(28² - 1)(86² - 1) = (6² + 9)(12² + 9)(22² + 9)(36² + 9).

Page of Squares : First Upload March 26, 2014 ; Last Revised March 26, 2014
by Yoshio Mimura, Kobe, Japan

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66564

66564 = 258², a square pegged by 6 with 3 kinds of digits.

(3-dgt, 6-peg)

Page of Squares : First Upload October 20, 2012 ; Last Revised October 20, 2012
by Yoshio Mimura, Kobe, Japan

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66572

66572² = (3² + 8)(6² + 8)(9² + 8)(258² + 8).

Page of Squares : First Upload March 26, 2014 ; Last Revised March 26, 2014
by Yoshio Mimura, Kobe, Japan

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66576

66576² = (1² + 3)(3² + 3)(4² + 3)(17² + 3)(129² + 3) = (1² + 3)(15² + 3)(17² + 3)(129² + 3).

Page of Squares : First Upload March 26, 2014 ; Last Revised March 26, 2014
by Yoshio Mimura, Kobe, Japan

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66612

66612² = (2² + 3)(6² + 3)(27² + 3)(149² + 3).

Page of Squares : First Upload March 26, 2014 ; Last Revised March 26, 2014
by Yoshio Mimura, Kobe, Japan

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66665

66665² = 444422225, a square with 3 kinds of digits.

Page of Squares : First Upload October 20, 2012 ; Last Revised October 20, 2012
by Yoshio Mimura, Kobe, Japan

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66667

66667² = 444448889, a square with nondecreasing digits, and with 3 kinds of digits, and .

Page of Squares : First Upload October 20, 2012 ; Last Revised October 20, 2012
by Yoshio Mimura, Kobe, Japan

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66668

66668² = 444462224, , a square with 3 kinds of even digits.

Page of Squares : First Upload October 20, 2012 ; Last Revised October 20, 2012
by Yoshio Mimura, Kobe, Japan

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66745

66745² = 547² + 549² + 551² + 553² + ... + 2995².

Page of Squares : First Upload October 20, 2012 ; Last Revised October 20, 2012
by Yoshio Mimura, Kobe, Japan

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66786

66786²± 5 are primes.

Page of Squares : First Upload March 26, 2014 ; Last Revised March 26, 2014
by Yoshio Mimura, Kobe, Japan

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66820

66820² = (3² + 4)(4² + 4)(4144² + 4) = (16² + 4)(4144² + 4).

Page of Squares : First Upload March 26, 2014 ; Last Revised March 26, 2014
by Yoshio Mimura, Kobe, Japan

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66860

66860²± 3 are primes.

Page of Squares : First Upload March 26, 2014 ; Last Revised March 26, 2014
by Yoshio Mimura, Kobe, Japan

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66885

66885² = 176³ + 177³ + 178³ + 179² + 180² + ... + 370³.

Page of Squares : First Upload October 20, 2012 ; Last Revised October 20, 2012
by Yoshio Mimura, Kobe, Japan

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66912

66912²= 1558 x 1559 + 1559 x 1560 + 1560 x 1561 +...+ 2581 x 2582.

Page of Squares : First Upload October 20, 2012 ; Last Revised October 20, 2012
by Yoshio Mimura, Kobe, Japan

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66921

1³ + 3³+ 5³ + 7³ + ... + 66921³ = 1583407981².

Page of Squares : First Upload October 20, 2012 ; Last Revised October 20, 2012
by Yoshio Mimura, Kobe, Japan

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66922

66922² = (1² + 1)(47321² + 1).

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

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66926

66926²± 3 are primes.

Page of Squares : First Upload March 26, 2014 ; Last Revised March 26, 2014
by Yoshio Mimura, Kobe, Japan

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66978

66978²± 5 are primes.

Page of Squares : First Upload March 26, 2014 ; Last Revised March 26, 2014
by Yoshio Mimura, Kobe, Japan

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66990

66990² = (1² + 6)(2² + 6)(3² + 6)(15² + 6)(136² + 6) = (1² + 6)(2² + 6)(4² + 6)(9² + 6)(183² + 6)
= (1² + 6)(3² + 6)(4² + 6)(7² + 6)(9² + 6)(20² + 6) = (1² + 6)(3² + 6)(6² + 6)(7² + 6)(136² + 6)
= (1² + 6)(3² + 6)(48² + 6)(136² + 6) = (1² + 6)(4² + 6)(7² + 6)(9² + 6)(78² + 6)
= (1² + 6)(4² + 6)(9² + 6)(15² + 6)(38² + 6) = (1² + 6)(7² + 6)(9² + 6)(18² + 6)(20² + 6)
= (1² + 6)(12² + 6)(15² + 6)(136² + 6) = (2² + 6)(3² + 6)(4² + 6)(9² + 6)(125² + 6)
= (2² + 6)(3² + 6)(9² + 6)(20² + 6)(29² + 6) = (2² + 6)(7² + 6)(9² + 6)(15² + 6)(20² + 6)
= (2² + 6)(9² + 6)(18² + 6)(125² + 6) = (2² + 6)(9² + 6)(29² + 6)(78² + 6)
= (3² + 6)(4² + 6)(20² + 6)(183² + 6) = (3² + 6)(4² + 6)(27² + 6)(136² + 6)
= (3² + 6)(8² + 6)(15² + 6)(136² + 6) = (3² + 6)(9² + 6)(20² + 6)(92² + 6)
= (4² + 6)(8² + 6)(9² + 6)(183² + 6) = (4² + 6)(9² + 6)(12² + 6)(125² + 6)
= (4² + 6)(78² + 6)(183² + 6) = (6² + 6)(20² + 6)(513² + 6) = (6² + 6)(9² + 6)(29² + 6)(38² + 6)
= (7² + 6)(9² + 6)(20² + 6)(48² + 6) = (9² + 6)(12² + 6)(20² + 6)(29² + 6)
= (9² + 6)(78² + 6)(92² + 6) = (18² + 6)(20² + 6)(183² + 6) = (18² + 6)(27² + 6)(136² + 6).

Page of Squares : First Upload March 26, 2014 ; Last Revised March 26, 2014
by Yoshio Mimura, Kobe, Japan

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