Woodall Prime
Natural Number, Number Theory, Prime Number
978-613-8-74083-4
6138740831
64
2012-01-21
29.00 €
eng
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In number theory, a Woodall number (Wn) is any natural number of the formWn = n × 2n − 1for some natural number n. The first few Woodall numbers are:1, 7, 23, 63, 159, 383, 895, … (sequence OEIS A003261).Woodall numbers were first studied by Allan J. C. Cunningham and H. J. Woodall in 1917, inspired by James Cullen's earlier study of the similarly-defined Cullen numbers. Woodall numbers curiously arise in Goodstein's theorem.Woodall numbers that are also prime numbers are called Woodall primes; the first few exponents n for which the corresponding Woodall numbers Wn are prime are 2, 3, 6, 30, 75, 81, 115, 123, 249, 362, 384, … (sequence OEIS A002234); the Woodall primes themselves begin with 7, 23, 383, 32212254719, …
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