Woodall Number

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A Woodall number is a number of the form

 W_n=2^nn-1.

Woodall numbers are therefore similar to Mersenne numbers 2^n-1 but with an additional factor of n multiplying the power of 2, and to Cullen numbers 2^nn+1 but with the sign flipped.

For n=1, 2, ..., the first few Woodall numbers are 1, 7, 23, 63, 159, 383, ... (OEIS A003261).

A Woodall number that is prime is known as a Woodall prime.

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