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A064917 a(n) is the result of beginning with n and iterating k -> A064916(k) until a prime is reached. 4
2, 3, 3, 5, 3, 7, 5, 5, 3, 11, 7, 13, 5, 7, 5, 17, 3, 19, 11, 5, 7, 23, 13, 5, 5, 11, 7, 29, 5, 31, 17, 13, 3, 11, 19, 37, 11, 7, 5, 41, 7, 43, 23, 17, 13, 47, 5, 13, 5, 19, 11, 53, 7, 7, 29, 5, 5, 59, 31, 61, 17, 23, 13, 17, 3, 67, 11, 5, 19, 71, 37, 73, 11, 11, 7, 17, 5, 79, 41, 29, 7 (list; graph; refs; listen; history; text; internal format)
OFFSET

2,1

COMMENTS

Well-defined since A064916(n) < n for nonprimes.

a(p) = p for all primes p.

LINKS

Harry J. Smith, Table of n, a(n) for n = 2..1000

Michael Gilleland, Some Self-Similar Integer Sequences

EXAMPLE

a(6) = 3 as A064916(6) = 4 and A064916(4) = 3.

PROG

(PARI) lpf(n)= { local(f); f=factor(n); return(f[1, 1]) } { for (n=2, 1000, m=n; while (!isprime(m), L=lpf(m); m=m / L + L - 1); write("b064917.txt", n, " ", m) ) } \\ Harry J. Smith, Sep 29 2009

CROSSREFS

Cf. A064916, A064918, A064921.

Sequence in context: A177980 A215405 A064921 * A154727 A323075 A065070

Adjacent sequences:  A064914 A064915 A064916 * A064918 A064919 A064920

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller, Oct 14 2001

STATUS

approved

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Last modified April 16 07:59 EDT 2021. Contains 343030 sequences. (Running on oeis4.)