Contents of Volume 22,

**Journal of Recreational Mathematics****Number 1**

Martin Gardner – A 75

^{th}Birthday Dedication
“Carmichael Numbers Which Are the Product of Three
Carmichael Numbers,” by Harvey Dubner and Harry Nelson

“Fun With Music and Coding Theory,” by Therese Lee

“The Magic Tessaractss of Order 3 Complete,” by John
Robert Hendricks

“Impressions and Influences,” by Samuel Yates

“A Solid Geometry Kabob,” by Charles W. Trigg

“Additional Values of the PIE Function,” by Charles
Ashbacher and William D. Nolte, Jr.

“Exponential Differences,” by Phil Rogers

“A New Routine Leads to a New Constant, 2538,” by
Charles W. Trigg

“Answer to: A Solid Geometry Kabob,” by Charles W.
Trigg

“Martin Gardner: A Personal Reminiscence,” by Benjamin
L. Schwartz

“A Square Magic Square,” by Allan William Johnson, Jr.

“Some Remarks Concerning the Gregorian Calendar, II,”
by R. M. Sternheimer

“Is There a Double Smoothly Undulating Integer?” by
Clifford A. Pickover

“Some Observations on Palindromic Numbers,” by Akhlesh
Lakhtakia and Clifford A. Pickover

Alphametics and Solutions to 21(1) Alphametics, edited
by Steven Kahan

Problems and Conjectures, edited by Joseph S. Madachy

Solutions to Problems and Conjectures, edited by
Joseph S. Madachy

Solvers’ List

Errata

**Number 2**

Norman Cohen – In Memoriam

“A Reciprocity Rule Generalizing the Result 12^2 = 144
- <=> 441 = 21^2,” by Oliver D. Anderson

“Families of Recursive Sequences,” by Joseph Arkin,
David C. Arney. Lee S. DeWald and William E. Ebel, Jr.

“Digit-Complementary Prime Pairs,” by Charles W. Trigg

“Hypothesis Tasting,” by Amy R. Rau, Cornelia S. Wise
and Paul M. Sommers

Seventeenth Annual Student Conference

“The Near Repdigit Primes A(sub)(n)B, AB(sub)(n) and
UBASIC,” by Chris K. Caldwell

Eighteenth Annual Conference: Linear Algebra and Its
Applications

“The Secret of Fermat’s Lemma,” by John Murphy

“Numerical Tic-Tac-Toe I,” by George Markowsky

“Classification and Enumeration of Palindromic
Squares,” by Michael Keith

“More on Palindromic Squares,” by Charles Ashbacher

Alphametics and Solutions to 21(2) Alphametics, edited
by Steven Kahan

Errata

Problems and Conjectures, edited by Joseph S. Madachy

Solutions to Problems and Conjectures, edited by
Joseph S. Madachy

Solvers’ List

**Number 3**

“Fractals and ‘The Cat in the Hat’,” by Akhlesh
Lakhtakia

“At

*ten*tion,” by Charles W. Trigg
“Polysticks,” by Brian R. Barwell

“All Known Replicating Fibonacci Digits Less Than One
Billion,” by Clifford A. Pickover

“Position-Additive Prime Couples,” by Charles W. Trigg

“Position-Subtractive Prime Couples,” by Charles W.
Trigg

“Tiling the Bent Tromino with N Congruent Shapes,” by
Martin Gardner

“Numerical Tic-Tac-Toe – II,” by George Markowsky

“Some Remarks Concerning the Gregorian Calendar, III,”
by R. M. Sternheimer

Book Reviews, edited by Samuel Yates

Alphametics and Solutions to 21(3) Alphametics, edited
by Steven Kahan

Problems and Conjectures, edited by Joseph S. Madachy

Solutions to 13(3) Problems and Conjectures, edited by
Joseph S. Madachy

Solvers’ List

**Number 4**

“A Note on Nested Eulerian Triangles,” by Martin Beech

“The Algebraists,” by Hyman Gabai

“Representing Integers as the Sum of a Prime and Twice
a Square,” by Charles Ashbacher

“Pythagoras on the Square,” by John Michael Schram

“Products of the Digits of Primes,” by Charles W.
Trigg

“Results of the Very-Large-Number Contest,” by
Clifford A. Pickover

“Generalizing a Mathematics Contest Problem,” by
William M. Waters, Jr.

“Odd Abundant Numbers: Some Interesting Observations,”
by Mary T. Whalen and Gordon L. Miller

“How to Generate All Types of Smith Numbers,” by
Robert L. Bishop

“On Certain Integers Which Are Obtained by Repeated
Exponentiation,” by R. M. Sternheimer

“Young Archimedes,” by Hyman Gabai

“The Smallest and Largest N-Digit Primes for N = 1(1)150,”
by Frank O’Hara

“The Ultimate Perpetual Calendar?” by Michael Keith
and Tom Craver

“Nearly Isosceles Pythagorean Triplets,” by Duane
Allen

“The Ultimate Computer,” by Hyman Gabai

Letters to the Editor

Book Reviews, edited by Samuel Yates

Alphametics and Solutions to 21(4) Alphametics, edited
by Steven Kahan

Problems and Conjectures, edited by Joseph S. Madachy

Solutions to Problems and Conjectures, edited by
Joseph S. Madachy

Solvers’ List

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