---

29000

29000² = (1² + 4)(11² + 4)(14² + 4)(82² + 4) = (1² + 4)(5² + 4)(6² + 4)(11² + 4)(34² + 4)
= (5² + 4)(11² + 4)(14² + 4)(34² + 4).

Page of Squares : First Upload February 15, 2014 ; Last Revised February 15, 2014
by Yoshio Mimura, Kobe, Japan

---

29032

29032²± 3 are primes.

Page of Squares : First Upload February 15, 2014 ; Last Revised February 15, 2014
by Yoshio Mimura, Kobe, Japan

---

29034

29034² = 842973156 is a square with different digits.

Page of Squares : First Upload May 5, 2012 ; Last Revised May 5, 2012
by Yoshio Mimura, Kobe, Japan

---

29040

187² + 29040 = 253², 187² - 29040 = 77².

Page of Squares : First Upload May 5, 2012 ; Last Revised May 5, 2012
by Yoshio Mimura, Kobe, Japan

---

29049

29049²± 2 are primes.

Page of Squares : First Upload February 15, 2014 ; Last Revised February 15, 2014
by Yoshio Mimura, Kobe, Japan

---

29084

29084²± 3 are primes.

Page of Squares : First Upload February 15, 2014 ; Last Revised February 15, 2014
by Yoshio Mimura, Kobe, Japan

---

29085

29085²± 2 are primes.

Page of Squares : First Upload February 15, 2014 ; Last Revised February 15, 2014
by Yoshio Mimura, Kobe, Japan

---

29094

29094²± 5 are primes.

Page of Squares : First Upload February 15, 2014 ; Last Revised February 15, 2014
by Yoshio Mimura, Kobe, Japan

---

29106

29106² = 847159236 is a square with different digits.

Page of Squares : First Upload May 5, 2012 ; Last Revised May 5, 2012
by Yoshio Mimura, Kobe, Japan

---

29140

29140²= 192 x 193 + 193 x 194 + 194 x 195 +...+ 1366 x 1367.

Page of Squares : First Upload May 5, 2012 ; Last Revised May 5, 2012
by Yoshio Mimura, Kobe, Japan

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29148

29148²± 5 are primes.

Page of Squares : First Upload February 15, 2014 ; Last Revised February 15, 2014
by Yoshio Mimura, Kobe, Japan

---

29150

29150² = (4² + 6)(7² + 6)(838² + 6).

Page of Squares : First Upload February 15, 2014 ; Last Revised February 15, 2014
by Yoshio Mimura, Kobe, Japan

---

29186

29186²± 3 are primes.

Page of Squares : First Upload February 15, 2014 ; Last Revised February 15, 2014
by Yoshio Mimura, Kobe, Japan

---

29200

29200² = (1² + 4)(2² + 4)(4² + 4)(19² + 4)(54² + 4) = (4² + 4)(6² + 4)(19² + 4)(54² + 4).

Page of Squares : First Upload February 15, 2014 ; Last Revised February 15, 2014
by Yoshio Mimura, Kobe, Japan

---

29208

29208² = 853107264 is a square with different digits.

Page of Squares : First Upload May 5, 2012 ; Last Revised May 5, 2012
by Yoshio Mimura, Kobe, Japan

---

29241

29241 = 171² is a zigzag square.

Page of Squares : First Upload May 5, 2012 ; Last Revised May 5, 2012
by Yoshio Mimura, Kobe, Japan

---

29250

29250² = (1² + 9)(2² + 9)(4² + 9)(21² + 9)(24² + 9) = (1² + 9)(2² + 9)(4² + 9)(9² + 9)(54² + 9)
= (1² + 9)(4² + 9)(6² + 9)(11² + 9)(24² + 9) = (1² + 9)(54² + 9)(171² + 9)
= (15² + 9)(24² + 9)(79² + 9) = (2² + 9)(3² + 9)(24² + 9)(79² + 9)
= (2² + 9)(4² + 9)(6² + 9)(11² + 9)(21² + 9) = (2² + 9)(4² + 9)(9² + 9)(171² + 9)
= (2² + 9)(6² + 9)(15² + 9)(79² + 9) = (4² + 9)(11² + 9)(21² + 9)(24² + 9)
= (4² + 9)(6² + 9)(21² + 9)(41² + 9) = (4² + 9)(9² + 9)(11² + 9)(54² + 9).

Page of Squares : First Upload February 15, 2014 ; Last Revised February 15, 2014
by Yoshio Mimura, Kobe, Japan

---

29290

29290² = (1² + 4)(5² + 4)(20² + 4)(121² + 4).

Page of Squares : First Upload February 15, 2014 ; Last Revised February 15, 2014
by Yoshio Mimura, Kobe, Japan

---

29325

29325²± 2 are primes.

Page of Squares : First Upload February 15, 2014 ; Last Revised February 15, 2014
by Yoshio Mimura, Kobe, Japan

---

29337

29337²± 2 are primes.

Page of Squares : First Upload February 15, 2014 ; Last Revised February 15, 2014
by Yoshio Mimura, Kobe, Japan

---

29372

29372²± 3 are primes.

Page of Squares : First Upload February 15, 2014 ; Last Revised February 15, 2014
by Yoshio Mimura, Kobe, Japan

---

29380

29380² = (1² + 1)(3² + 1)(15² + 1)(437² + 1).

Page of Squares : First Upload November 9, 2013 ; Last Revised November 9, 2013
by Yoshio Mimura, Kobe, Japan

---

29398

29398² = 864242404 is a square with even digits.

Page of Squares : First Upload May 5, 2012 ; Last Revised May 5, 2012
by Yoshio Mimura, Kobe, Japan

---

29400

175² + 29400 = 245², 175² - 29400 = 35².

29400² = (2² - 1)(6² - 1)(29² - 1)(99² - 1) = (4² - 1)(6² - 1)(13² - 1)(99² - 1).

29400² = (1² + 2³ + 3³ + ... + 7²)(8² + 9² + 10²)(11² + 12³ + 13³ + ... + 42²).

Page of Squares : First Upload May 5, 2012 ; Last Revised February 9, 2013
by Yoshio Mimura, Kobe, Japan

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29404

29404²± 3 are primes.

Page of Squares : First Upload February 15, 2014 ; Last Revised February 15, 2014
by Yoshio Mimura, Kobe, Japan

---

29409

29409²± 2 are primes.

Page of Squares : First Upload February 15, 2014 ; Last Revised February 15, 2014
by Yoshio Mimura, Kobe, Japan

---

29410

29410² = (13² + 4)(2236² + 4).

Page of Squares : First Upload February 15, 2014 ; Last Revised February 15, 2014
by Yoshio Mimura, Kobe, Japan

---

29412

29412²± 5 are primes.

29412² = (1² + 2)(2² + 2)(6² + 2)(16² + 2)(70² + 2) = (4² + 2)(6² + 2)(16² + 2)(70² + 2).

Page of Squares : First Upload February 15, 2014 ; Last Revised February 15, 2014
by Yoshio Mimura, Kobe, Japan

---

29430

29430² = (3² + 9)(6² + 9)(10² + 9)(99² + 9).

Page of Squares : First Upload February 15, 2014 ; Last Revised February 15, 2014
by Yoshio Mimura, Kobe, Japan

---

29432

29432² = 866242624 is a square with even digits.

Page of Squares : First Upload May 5, 2012 ; Last Revised May 5, 2012
by Yoshio Mimura, Kobe, Japan

---

29463

29463² = (38² + 5)(774² + 5) = (4² + 5)(8² + 5)(774² + 5).

Page of Squares : First Upload February 15, 2014 ; Last Revised February 15, 2014
by Yoshio Mimura, Kobe, Japan

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29493

29493²± 2 are primes.

Page of Squares : First Upload February 15, 2014 ; Last Revised February 15, 2014
by Yoshio Mimura, Kobe, Japan

---

29575

29575² = 106² + 107² + 108² + ... + 1379².

Page of Squares : First Upload May 5, 2012 ; Last Revised May 5, 2012
by Yoshio Mimura, Kobe, Japan

---

29580

29580² = (1² + 9)(5² + 9)(7² + 9)(9² + 9)(22² + 9).

Page of Squares : First Upload February 15, 2014 ; Last Revised February 15, 2014
by Yoshio Mimura, Kobe, Japan

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29584

29584 = 172² is a square with different digits.

Page of Squares : First Upload May 5, 2012 ; Last Revised May 5, 2012
by Yoshio Mimura, Kobe, Japan

---

29592

29592² = (4² + 8)(35² + 8)(172² + 8).

Page of Squares : First Upload February 15, 2014 ; Last Revised February 15, 2014
by Yoshio Mimura, Kobe, Japan

---

29596

29596² = (1² + 3)(2² + 3)(65² + 3)(86² + 3) = (5² + 3)(65² + 3)(86² + 3).

Page of Squares : First Upload February 15, 2014 ; Last Revised February 15, 2014
by Yoshio Mimura, Kobe, Japan

---

29597

29597² = 1595² + 1596² + 1597² + ... + 1883².

Page of Squares : First Upload May 5, 2012 ; Last Revised May 5, 2012
by Yoshio Mimura, Kobe, Japan

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29600

29600² = (1² + 4)(2² + 4)(4² + 4)(12² + 4)(86² + 4) = (2² + 4)(6² + 4)(12² + 4)(136² + 4)
= (4² + 4)(6² + 4)(12² + 4)(86² + 4).

Page of Squares : First Upload February 15, 2014 ; Last Revised February 15, 2014
by Yoshio Mimura, Kobe, Japan

---

29610

29610² = (1² + 5)(10² + 5)(18² + 5)(65² + 5) = (18² + 5)(25² + 5)(65² + 5)
= (4² + 5)(5² + 5)(18² + 5)(65² + 5) = (5² + 5)(10² + 5)(18² + 5)(29² + 5).

Page of Squares : First Upload February 15, 2014 ; Last Revised February 15, 2014
by Yoshio Mimura, Kobe, Japan

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29614

29614² = 876988996, a square every digit of which is greater than 5.

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

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29624

29624²± 3 are primes.

Page of Squares : First Upload February 15, 2014 ; Last Revised February 15, 2014
by Yoshio Mimura, Kobe, Japan

---

29626

29626² = 877699876, a square every digit of which is greater than 5.

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

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29646

29646²± 5 are primes.

Page of Squares : First Upload February 15, 2014 ; Last Revised February 15, 2014
by Yoshio Mimura, Kobe, Japan

---

29696

29696² = (3² + 7)(11² + 7)(15² + 7)(43² + 7).

Page of Squares : First Upload February 15, 2014 ; Last Revised February 15, 2014
by Yoshio Mimura, Kobe, Japan

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29702

29702² = 882208804 is a square with even digits.

Page of Squares : First Upload May 5, 2012 ; Last Revised May 5, 2012
by Yoshio Mimura, Kobe, Japan

---

29704

29704²± 3 are primes.

Page of Squares : First Upload February 15, 2014 ; Last Revised February 15, 2014
by Yoshio Mimura, Kobe, Japan

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29760

29760² = (2² - 1)(9² - 1)(1921² - 1).

481² + 29760 = 511², 481² - 29760 = 449².

Page of Squares : First Upload May 5, 2012 ; Last Revised February 15, 2014
by Yoshio Mimura, Kobe, Japan

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29766

29766² = (19² + 2)(30² + 2)(52² + 2).

Page of Squares : First Upload February 15, 2014 ; Last Revised February 15, 2014
by Yoshio Mimura, Kobe, Japan

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29770

29770² = (1² + 4)(3² + 4)(15² + 4)(244² + 4) = (1² + 9)(2² + 9)(2611² + 9) = (11² + 9)(2611² + 9).

Page of Squares : First Upload February 15, 2014 ; Last Revised February 15, 2014
by Yoshio Mimura, Kobe, Japan

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29787

29787²± 2 are primes.

Page of Squares : First Upload February 15, 2014 ; Last Revised February 15, 2014
by Yoshio Mimura, Kobe, Japan

---

29802

29802² + 38868² = 2398880628, mosaic.

Page of Squares : First Upload May 5, 2012 ; Last Revised May 5, 2012
by Yoshio Mimura, Kobe, Japan

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29820

29820² = 154*155*156 + 156*157*158 + 158*159*160 + 160*161*162 + ... + 294*295*296.

Page of Squares : First Upload October 26, 2103 ; Last Revised October 26, 2103
by Yoshio Mimura, Kobe, Japan

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29822

29822² = (7² + 3)(20² + 3)(206² + 3).

Page of Squares : First Upload February 15, 2014 ; Last Revised February 15, 2014
by Yoshio Mimura, Kobe, Japan

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29826

29826²± 5 are primes.

Page of Squares : First Upload February 15, 2014 ; Last Revised February 15, 2014
by Yoshio Mimura, Kobe, Japan

---

29889

29889² = (11² + 2)(2695² + 2).

Page of Squares : First Upload February 15, 2014 ; Last Revised February 15, 2014
by Yoshio Mimura, Kobe, Japan

---

29908

29908²± 3 are primes.

Page of Squares : First Upload February 15, 2014 ; Last Revised February 15, 2014
by Yoshio Mimura, Kobe, Japan

---

29925

29925²± 2 are primes.

Page of Squares : First Upload February 15, 2014 ; Last Revised February 15, 2014
by Yoshio Mimura, Kobe, Japan

---

29929

29929 = 173² is a square with 2 kinds of digits.

Page of Squares : First Upload May 5, 2012 ; Last Revised May 5, 2012
by Yoshio Mimura, Kobe, Japan

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29938

29938²± 3 are primes.

Page of Squares : First Upload February 15, 2014 ; Last Revised February 15, 2014
by Yoshio Mimura, Kobe, Japan

---

29968

29968²± 3 are primes.

Page of Squares : First Upload February 15, 2014 ; Last Revised February 15, 2014
by Yoshio Mimura, Kobe, Japan

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29973

29973²± 2 are primes.

Page of Squares : First Upload February 15, 2014 ; Last Revised February 15, 2014
by Yoshio Mimura, Kobe, Japan

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