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A128446 Quotients A122000(p-1) / (2^p - 1), where p = Prime[n] for n>1. 0
1, 882850585445281, 28084773172609134470952326813135521948919663474715912134590894817085103016117634792155856629828598766188378241 (list; graph; refs; listen; history; text; internal format)
OFFSET

2,2

COMMENTS

A014566[n] = n^n + 1 is 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

Table of n, a(n) for n=2..4.

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

Cf. A122000, A014566, A081216, A056009.

Sequence in context: A129935 A173405 A104835 * A052098 A172607 A235167

Adjacent sequences:  A128443 A128444 A128445 * A128447 A128448 A128449

KEYWORD

bref,nonn

AUTHOR

Alexander Adamchuk, Mar 03 2007

STATUS

approved

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Last modified October 23 14:45 EDT 2019. Contains 328345 sequences. (Running on oeis4.)