A166970 - OEIS

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A166970

Numbers k such that number of perfect partitions of k minus the count of divisors of k is prime.

0

7, 29, 41, 44, 49, 75, 98, 101, 104, 109, 113, 116, 137, 147, 153, 164, 171, 173, 181, 189, 209, 229, 230, 243, 244, 245, 257, 272, 281, 284, 285, 317, 329, 332, 344, 353, 356, 369, 373, 387, 389, 401, 405, 409, 425, 428, 429, 433, 434, 461, 464, 507, 509, 545, 548, 569

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OFFSET

1,1

COMMENTS

Numbers k such that A002033(k)-A000005(k) is in A000040.

LINKS

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

EXAMPLE

a(1)=7 (A002033(7)-tau(7) = 4-2 = 2 is prime).

a(2)=29 (A002033(29)-tau(29) = 13-2 = 11 is prime).

CROSSREFS

Cf. A000005, A000040, A002033.

Sequence in context: A096450 A156124 A155476 * A075583 A103603 A045465

Adjacent sequences: A166967 A166968 A166969 * A166971 A166972 A166973

KEYWORD

nonn,less

AUTHOR

Juri-Stepan Gerasimov, Oct 25 2009

EXTENSIONS

Corrected definition, terms and examples - R. J. Mathar, Oct 30 2009

STATUS

approved