I have grown to enjoy the web as my primary place to publish, but as an academic it is necessary to also necessary publish through refereed and edited media. Below I list most of my traditional publications.
- 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)
- 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)
- C. Caldwell and A. Rupinski, "Pyramids of 3-powerful-primes," Math. Spectrum, 43:2 (2010-2011) 65--69.
- 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
- 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
- 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]
- 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,
- C. Caldwell,"Marin Mersenne" in The Biographical Encyclopedia of Astronomers. Vol, 2, Springer-Verlag, 2007. pp. 772--773, ISBN 978-0-387-31022-0.
- 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)
- 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.]
- 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) (Annotation available)
- C. Caldwell and G. L. Honaker, Jr., "Is π(6521)=6!+5!+2!+1! unique?," Math. Spectrum, 22:2 (2000/2001) 34--36. Preprint available online at http://www.utm.edu/~caldwell/preprints/.
- G. L. Honaker, Jr. and C. Caldwell, "Palindromic prime pyramids," J. Recreational Math., 30:3 (1999-2000) 169--176. (Annotation available)
- C. Caldwell and H. Dubner, "Primes in pi," J. Recreational Math., 29 (1998) 282--289.
- C. Caldwell and H. Dubner, "Unique period primes," J. Recreational Math., 29:1 (1998) 43--48.
- 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)
- C. Caldwell, "Getting close to the million-digit prime," J. Recreational Math., 28:4 (1996--97) 242.
- C. Caldwell, "New largest known prime," J. Recreational Math., 28:1 (1996--97) 17.
- C. Caldwell and H. Dubner, "The near repdigit primes An-k-1B1Ak, especially 9n-k-1819k," J. Recreational Math., 28:1 (1996-97) 1--9.
- C. Caldwell, "On the primality of n! ± 1 and 2 · 3 · 5 ... p ± 1," Math. Comp., 64:2 (1995) 889--890. MR 95g:11003
- C. Caldwell, "Prime words," J. Recreational Math., 27:1 (1995) 49--57. [See the page "prime words."]
- C. Caldwell and H. Dubner, "The near repunit primes 1n-k-1011k," J. Recreational Math., 27 (1995) 35--41.
- C. Caldwell, Discovering number theory, Ossuary Press, Martin TN, 1994. pp. xxxviii+125, [Entirely activity based number theory course using UBASIC]
- C. Caldwell, "The diophantine equation A! B! = C!," J. Recreational Math., 26:2 (1994) 128--132.
- C. Caldwell, "UBASIC," J. Recreational Math., 25:1 (1993) 47--54. [A 2600 digit version of BASIC available on the web with the APRT-CL primality test, MPQS and ECM factoring methods included.]
- C. Caldwell, "A new record prime," J. Recreational Math., 25:4 (1993) 262. Letter to the editor.
- C. Caldwell, "The Dubner PC Cruncher--a microprocessor card for doing integer arithmetic," J. Recreational Math., 25:1 (1993) 56--57. [Hardware/software review]
- C. Caldwell and H. Dubner, "Primorial, factorial and multifactorial primes," Math. Spectrum, 26:1 (1993/4) 1--7.
- 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
- C. Caldwell, "Teaching discovery: an example using computers in number theory," PRIMUS, II:3 (1992) 203--212.
- C. Caldwell, "A polynomial inequality quickie, problem q776," Math. Mag., 26:2 (1991) 132, 137.
- C. Caldwell, "The near repdigit primes AnB, ABn, and UBASIC," J. Recreational Math., 22:2 (1990) 100--109.
- C. Caldwell, "Nice polynomials of degree four," Math. Spectrum, 23:2 (1990/91) 36--39.
- C. Caldwell, "Problem: minimal rulers," J. Recreational Math., 22:1 (1990) 23.
- C. Caldwell, "Solution to problem 1717: a reciprocal diophantine equation," J. Recreational Math., 22:2 (1990) 156--157.
- C. Caldwell, "The near repdigit primes 333 ... 331," J. Recreational Math., 21:4 (1989) 299--304.
- C. Caldwell, "Problem 1717: a reciprocal diophantine equation," J. Recreational Math., 21:2 (1989) 145.
- 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, New York, NY, 1989. pp. 122--125,
- 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.]
- 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.]
- C. Caldwell, Polynomials of one variable: the theory of equations, Ossuary Press, Martin TN, 1987.
These are the personal pages of Dr. Chris Caldwell, so the views expressed here are his alone and are not intended to directly represent the views of UTM or its community.