Title Statements
- Full title :Unsolved problems in number theory / Richard K. Guy.
Edition Statements
- Publication Date:1994.
- Edition:2nd ed
Publication Statements
- Publisher(s):Springer-Verlag
- Place of Publication:New York
- Language:eng
- Publication Date:1994.
The Physical Object
- Description:xvi, 285 pages : : illustrations ; : 25 cm
Edition Identifiers
- ISBN:0387942890, 9780387942896, 3540942890, 9783540942894
- oclc:ocm30078458
- LC Classification:QA241
- Dewey Decimal:512/.7
Table of Contents
Prime numbers : Prime values of quadratic functions ; Primes connected with factorials ; Mersenne primes. repunits. Fermat numbers. primes of shape ; The prime number race ; Arithmetic progressions of primes ; Consecutive primes in A.P. ; Cunningham chains ; Gaps between primes. twin primes ; Patterns of primes ; Gilbreath’s conjecture ; Increasing and decreasing gaps ; Pseudoprimes. Euler pseudoprimes. strong pseudoprimes ; Carmichael numbers ; “Good” primes and the prime number graph ; Congruent products of consecutive numbers ; Gaussian primes. Eisenstein-Jacobi primes ; Formulas for primes ; The Erdos-Selfridge classification of primes ; Values of n making () prime. odd numbers not of the form () -- Divisibility : Perfect numbers ; Almost perfect, quasi-perfect, pseudoperfect, harmonic, weird, multiperfect and hyperperfect numbers ; Unitary perfect numbers ; Amicable numbers ; Quasi-amicable or betrothed numbers ; Aliquot sequences ; Aliquot cycles or sociable numbers ; Unitary aliquot sequences ; Superperfect numbers ; Untouchable numbers ; Some irrational series ; Powerful numbers ; Exponential-perfect numbers ; Cullen numbers ; Factorial n as the product of n large factors …
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