

A177956


Smallest k > 0 such that k^prime(n)  prime(n) is prime.


1



2, 2, 4, 60, 28, 2, 234, 2, 10, 186, 32, 8, 22, 6, 76, 330, 78, 62, 462, 88, 1416, 1440, 150, 40, 308, 144, 260, 42, 492, 2320, 132, 328, 838, 696, 736, 234, 56, 2786, 172, 382, 4872, 128, 4752, 7292, 826, 1856, 3960, 1124, 424, 612, 2052, 430, 1104, 280, 78, 286
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OFFSET

1,1


LINKS

Table of n, a(n) for n=1..56.


EXAMPLE

1^prime(1)prime(1) = 1^22 = 1 is not prime, but 2^prime(2)prime(2) = 2^22 = 2 is prime, hence a(1) = 2.
k^prime(4)prime(4) is not prime for k < 60, but 60^prime(4)prime(4) = 60^77 = 2799359999993 is prime, hence a(4) = 60.
a(19)^prime(19)prime(19) = 462^6767 has 179 digits.


PROG

(PARI) a177956(n) = {local(k=1, p=prime(n)); while(!isprime(k^pp), k+=1); k}


CROSSREFS

Cf. A000040, A084046, A084047, A177832.
Sequence in context: A257619 A075806 A295580 * A178981 A050923 A326960
Adjacent sequences: A177953 A177954 A177955 * A177957 A177958 A177959


KEYWORD

nonn


AUTHOR

Ulrich Krug (leuchtfeuer37(AT)gmx.de), May 16 2010


EXTENSIONS

Edited, keywords base, hard removed, PARI program and terms a(21) through a(56) added by the Associate Editors of the OEIS Klaus Brockhaus, May 23 2010
Extended by D. S. McNeil, May 23 2010


STATUS

approved



