A128446 - OEIS

A128446

Quotients A122000(p-1) / (2^p - 1), where p = prime(n) for n > 1.

1, 882850585445281, 28084773172609134470952326813135521948919663474715912134590894817085103016117634792155856629828598766188378241

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OFFSET

2,2

COMMENTS

A014566(n) = n^n + 1 is a Sierpinski Number of the First Kind.

A014566(2^n - 1) is divisible by 2^n.

A122000(n) = ((2^n - 1)^(2^n - 1) + 1) / 2^n = A014566(2^n - 1) / 2^n = A081216(2^n - 1).

LINKS

Eric Weisstein's World of Mathematics, Sierpinski Number of the First Kind

FORMULA

a(n) = ((2^(prime(n)-1) - 1)^(2^(prime(n)-1)-1) + 1)/(2^(prime(n)-1)*(2^prime(n)-1)).

CROSSREFS

KEYWORD

bref,nonn

AUTHOR

STATUS

approved