Biscuits of number theory

Content: Introduction
 Part I. Arithmetic: 1. A dozen questions about the powers of two
 2. From 30 to 60 is not twice as hard Michael Dalezman
 3. Reducing the sum of two fractions Harris S. Shultz and Ray C. Shiflett
 4. A postmodern view of fractions and reciprocals of Fermat primes Rafe Jones and Jan Pearce
 5. Visible structures in number theory Peter Borwein and Loki Jorgenson
 6. Visual gems of number theory Roger B. Nelsen
 Part II. Primes: 7. A new proof of Euclid's theorem Filip Saidak
 8. On the infinitude of the primes Harry Furstenberg
 9. On the series of prime reciprocals James A. Clarkson
 10. Applications of a simple counting technique Melvin Hausner
 11. On weird and pseudoperfect numbers S. J. Benkoski and P. Erdos
 12. A heuristic for the prime number theorem Hugh L. Montgomery and Stan Wagon
 13. A tale of two sieves Carl Pomerance
 Part III. Irrationality and Continued Fractions: 14. Irrationality of the square root of two - a geometric proof Tom M. Apostol
 15. Math bite: irrationality of m Harley Flanders
 16. A simple proof that p is irrational Ivan Niven
 17. p, e and other irrational numbers Alan E. Parks
 18. A short proof of the simple continued fraction of e Henry Cohn
 19. Diophantine Olympics and world champions: polynomials and primes down under Edward B. Burger
 20. An elementary proof of the Wallis product formula for Pi Johan Wastlund
 21. The Orchard problem Ross Honsberger
 Part IV. Sums of Squares and Polygonal Numbers: 22. A one-sentence proof that every prime p â ¡ 1 (mod 4) is a sum of two squares D. Zagier
 23. Sum of squares II Martin Gardner and Dan Kalman 24. Sums of squares VIII Roger B. Nelsen
 25. A short proof of Cauchy's polygonal number theorem Melvyn B. Nathanson
 26. Genealogy of Pythagorean triads A. Hall
 Part V. Fibonacci Numbers: 27. A dozen questions about Fibonacci numbers James Tanton
 28. The Fibonacci numbers - exposed Dan Kalman and Robert Mena
 29. The Fibonacci numbers - exposed more discretely Arthur T. Benjamin and Jennifer J. Quinn
 Part VI. Number-Theoretic Functions: 30. Great moments of the Riemann zeta function Jennifer Beineke and Chris Hughes
 31. The Collatz chameleon Marc Chamberland
 32. Bijecting Euler's partition recurrence David M. Bressoud and Doron Zeilberger
 33. Discovery of a most extraordinary law of the numbers concerning the sum of their divisors Leonard Euler
 34. The factorial function and generalizations Manjul Bhargava
 35. An elementary proof of the quadratic reciprocity law Sey Y. Kim
 Part VII. Elliptic Curves, Cubes and Fermat's Last Theorem: 36. Proof without words: cubes and squares J. Barry Love
 37. Taxicabs and sums of two cubes Joseph H. Silverman
 38. Three Fermat trails to elliptic curves Ezra Brown
 39. Fermat's last theorem in combinatorial form W. V. Quine
 40. 'A marvellous proof' Fernando Q. Gouvea
 About the editors.