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A096165 Prime powers with exponents that are themselves prime powers. +0
3
2, 3, 4, 5, 7, 8, 9, 11, 13, 16, 17, 19, 23, 25, 27, 29, 31, 32, 37, 41, 43, 47, 49, 53, 59, 61, 67, 71, 73, 79, 81, 83, 89, 97, 101, 103, 107, 109, 113, 121, 125, 127, 128, 131, 137, 139, 149, 151, 157, 163, 167, 169, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227 (list; graph; listen)
OFFSET

1,1

COMMENT

A000040, A053810, A050376 and A082522 are subsequences;

a(n)=A000961(n+1) for 1<=n<=26; all A000961(k) for k>1 are contained;

EXAMPLE

512=2^9=2^(3^2), A000961(118)=A000040(1)^A000961(118), therefore 512 is a term;

64=2^6, but 6 is not a prime power, therefore 64 is not a term.

CROSSREFS

Sequence in context: A036116 A000961 A128603 this_sequence A164336 A115919 A038701

Adjacent sequences: A096162 A096163 A096164 this_sequence A096166 A096167 A096168

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jul 25 2004

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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