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A023506 Exponent of 2 in prime factorization of prime(n) - 1. +0
7
0, 1, 2, 1, 1, 2, 4, 1, 1, 2, 1, 2, 3, 1, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 5, 2, 1, 1, 2, 4, 1, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 6, 2, 1, 1, 1, 1, 2, 3, 1, 4, 1, 8, 1, 2, 1, 2, 3, 1, 2, 1, 1, 3, 2, 1, 4, 1, 2, 5, 1, 1, 2, 1, 1, 2, 2, 4, 3, 1, 2, 1, 4, 1, 1, 6, 3, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 1, 2, 1, 3, 1 (list; graph; listen)
OFFSET

1,3

COMMENT

Also the number of steps to reach an integer starting with prime(n)/2 and iterating the map x->x*ceiling(x). - Benoit Cloitre, Sep 06, 2002.

Also exponent of 2 in -1+p[n]^s for s=odd exponents because (-1+p[n]^s)/(p[n]-1) is odd. - Labos E. (labos(AT)ana.sote.hu), Jan 20 2004

FORMULA

a(n) = A007814[A000010[A000040(n)]] = A007814[A006093(n)]

EXAMPLE

n=25, p(25)=97, A006093(25)=96=2.2.2.2.2.3, so a(25)=5.

CROSSREFS

Cf. A007814, A000010, A000040, A006093.

Sequence in context: A077971 A030018 A010739 this_sequence A140995 A140994 A140993

Adjacent sequences: A023503 A023504 A023505 this_sequence A023507 A023508 A023509

KEYWORD

nonn

AUTHOR

Clark Kimberling (ck6(AT)evansville.edu)

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.


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