A166970 Numbers n such that number of perfect partitions of n minus the count of divisors of n is prime.

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

Offset

1,1

Comments

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

Links

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

Example

a(1)=7 (A002033(12)-tau(12)=4-2=prime. a(2)=29 (A002033(29)-tau(29)=13-2=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