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All items with author Caldwell (sorted by date)

Caldwell1987

C. Caldwell, Polynomials of one variable: the theory of equations, Ossuary Press, Martin TN, 1987.

Caldwell87

C. Caldwell, "Truncatable primes," J. Recreational Math., 19:1 (1987) 30--33. [A recreational note discussing left truncatable primes, right truncatable primes, and deletable primes.]

Caldwell87a

C. Caldwell, "Permutable primes," J. Recreational Math., 19:2 (1987) 135--138. [Discusses permutable primes such as 733 in base 10, and 742 in base 13.]

Caldwell1989

C. Caldwell, A method to teach number theory using a computer.  In "The Proccedings of the Conference on Technology in Collegiate Mathematics: The Twilight of the Pencil and Paper," Addison-Wesley, 1989.  New York, NY, pp. 122--125,

Caldwell89

C. Caldwell, "The near repdigit primes 333 ^... 331," J. Recreational Math., 21:4 (1989) 299--304.

Caldwell1991

C. Caldwell, "Nice polynomials of degree four," Math. Spectrum, 23:2 (1990/91) 36--39.

Caldwell90

C. Caldwell, "The near repdigit primes A_nB, AB_n, and UBASIC," J. Recreational Math., 22:2 (1990) 100--109.

Caldwell1992

C. Caldwell, "Teaching discovery: an example using computers in number theory," PRIMUS, II:3 (1992) 203--212.

Caldwell1992a

C. Caldwell, "A generalization of a result of Hurwitz and Mordell on the torsion subgroups of certain elliptic curves," Rocky Mountain J. Math., 22:1 (1992) 93--108.  MR 93e:11071

CD93

C. Caldwell and H. Dubner, "Primorial, factorial and multifactorial primes," Math. Spectrum, 26:1 (1993/4) 1--7.

Caldwell1993

C. Caldwell, "The Dubner PC Cruncher--a microprocessor card for doing integer arithmetic," J. Recreational Math., 25:1 (1993) 56--57. [Hardware/software review]

Caldwell93

C. Caldwell, "UBASIC," J. Recreational Math., 25:1 (1993) 47--54. [A 2600 digit version of BASIC with the APRT-CL primality test, MPQS and ECM factoring methods included.]

Caldwell1994

C. Caldwell, "The diophantine equation A! B! = C!," J. Recreational Math., 26:2 (1994) 128--132.

Caldwell1994a

C. Caldwell, Discovering number theory, Ossuary Press, Martin TN, 1994.  pp. xxxviii+125, [Entirely activity based number theory course using UBASIC]

CD95

C. Caldwell and H. Dubner, "The near repunit primes 1_n-k-10₁1_k," J. Recreational Math., 27 (1995) 35--41.

Caldwell1995

C. Caldwell, "Prime words," J. Recreational Math., 27:1 (1995) 49--57. [See the page "prime words."]

Caldwell95

C. Caldwell, "On the primality of n! ± 1 and 2 · 3 · 5 ^... p ± 1," Math. Comp., 64:2 (1995) 889--890.  MR 95g:11003

CD97

C. Caldwell and H. Dubner, "The near repdigit primes A_n-k-1B₁A_k, especially 9_n-k-18₁9_k," J. Recreational Math., 28:1 (1996-97) 1--9.

Caldwell97

C. Caldwell, "Unique (period) primes and the factorization of cyclotomic polynomial minus one," Mathematica Japonica, 46:1 (1997) 189--195.  MR 99b:11139 (Abstract available)

CD1998

C. Caldwell and H. Dubner, "Unique period primes," J. Recreational Math., 29:1 (1998) 43--48.

CD2000

C. Caldwell and H. Dubner, "Primes in pi," J. Recreational Math., 29 (1998) 282--289.

HC2000

G. L. Honaker, Jr. and C. Caldwell, "Palindromic prime pyramids," J. Recreational Math., 30:3 (1999-2000) 169--176.

HC2000b

C. Caldwell and G. L. Honaker, Jr., "Is π(6521)=6!+5!+2!+1! unique?," Math. Spectrum, 22:2 (2000/2001) 34--36.

CG2000

C. Caldwell and Y. Gallot, "On the primality of n! ± 1 and 2 × 3 × 5 × ^... × p ± 1," Math. Comp., 71:237 (2002) 441--448.  MR 2002g:11011 (Abstract available) [Complete text: PDF]

Caldwell2004

C. Caldwell, [Japanese: Encyclopedia of the Prime Numbers], Kyoritsu Shuppan, 2004.  pp. xv+385 pages, ISBN 4-320-01759-5. Translated by SOJIN. [This is a Japanese translation of a subset of my web pages published in book form.]

CC2005

C. Caldwell and Y. Cheng, "Determining Mills' constant and a note on Honaker's problem," J. Integer Seq., 8:4 (2005) Article 05.4.1, 9 pp. (electronic).  Available from http://www.cs.uwaterloo.ca/journals/JIS/.  MR2165330 (Abstract available)

Caldwell2007

C. Caldwell,"Marin Mersenne" in The Biographical Encyclopedia of Astronomers.  Vol, 2, Springer-Verlag, 2007.  pp. 772--773, ISBN 978-0-387-31022-0.

BCLK2009

A. Brunner, C. Caldwell, C. Lownsdale and D. Krywaruczenko, Generalizing sierpi\'nski numbers to base b.  In "New Aspects of Analytic Number Theory (Kyoto October 2008 proceedings)," T. Komatsu editor, RIMS, Kyoto, 2009.  pp. 69--79,

CH2009

C. Caldwell and G. L. Honaker, Jr., Prime Curios! The Dictionary of Prime Number Trivia, CreateSpace, 2009.  pp. x+306 pages, ISBN 978-1-448-65170-2. October 2009.. [This is a selection of the Prime Curios! expanded, supplemented, and printed as a book: https://www.createspace.com/3392450]

CK2009a

C. Caldwell and T. Komatsu, "Some periodicities in the continued fraction expansions of Fibonacci and Lucas Dirichlet series," Fibonacci Quart., 48:1 (2010) 47--55.  MR 2663419

CK2010

C. Caldwell and T. Komatsu, "Powers of Sierpinski numbers base B," Integers, 10 (2010) A36, 423--436.  (http://dx.doi.org/10.1515/INTEG.2010.036) MR 2684132

CR2009

C. Caldwell and A. Rupinski, "Pyramids of 3-powerful-primes," Math. Spectrum, 43:2 (2010-2011) 65--69.

CRXK2012

C. Caldwell, Y. Xiong, A. Reddick and W. Keller, "The history of the primality of one: a selection of sources," J. Int. Sequences, 15:article 12.9.8 (2012) 1--40.  (https://cs.uwaterloo.ca/journals/JIS/VOL15/Caldwell2/cald6.html)

CX2012

C. Caldwell and Y. Xiong, "What is the smallest prime?," J. Int. Sequences, 15:article 12.9.7 (2012) 1--14.  (https://cs.uwaterloo.ca/journals/JIS/VOL15/Caldwell1/cald5.html)