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"Ribenboim, Paulo"
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Prime numbers, friends who give problems : a trialogue with Papa Paulo
Prime numbers, friends who give problems, is written as a trialogue, with two persons who are interested in prime numbers asking the author, Papa Paulo, intelligent questions. Starting at a very elementary level, the book advances steadily, covering all important topics of the theory of prime numbers, up to the most famous problems. The humorous conversations and the inclusion of a back-story add to the uniqueness of the book. Concepts and results are also explained with great care, making the book accessible to a wide audience. -- Provided by publisher.
Book
A remark on Polignac’s conjecture
We make reasonable assumptions which imply respectively: [1)] every sufficiently large even integer is the difference of two primes; [2)] the set of even positive integers which are the differences of two primes has density 1 in the set of even positive integers.
Journal Article
The approximation to a fixed point
In a spherically complete ultrametric space, a strictly contracting mapping has a fixed point. We indicate in this paper how this fixed point can either be reached or approximated.
Journal Article
Catalan's Conjecture
Ribenboim describes the methods used in trying to solve Catalan's conjecture and explains why the problem is not only challenging but also natural.
Journal Article
Are There Functions That Generate Prime Numbers?
Ribenboim looks for a formula to find all prime numbers.
Journal Article
Prime Number Records
Four questions concerning the theory of prime numbers are examined. Out of these four questions, the theory of prime numbers naturally unfolds.
Journal Article