A065136 Numbers n such that n = pi(n)*k + 1 for some k.

3, 9, 11, 13, 28, 34, 37, 43, 121, 336, 341, 351, 356, 361, 1081, 1087, 1135, 3060, 3074, 3081, 3088, 3095, 8409, 8425, 8441, 8457, 8465, 8473, 23527, 23536, 24301, 64541, 64581, 64591, 64601, 64611, 64651, 64661, 64691, 64701, 64711, 64721

Offset

1,1

Comments

Solutions to Mod[n,PrimePi[n]] = 1, i.e. A065134(n) = 1.

Links

Giovanni Resta, Table of n, a(n) for n = 1..1172

Example

n=28: Pi(28)=9 and 28=3*Pi(28)+1, so 28 is here; n=27 is present in A057809. A large proportion of A057809(m)+1 numbers (but not all of them) arise in this sequence. Numbers from A057809 arise in clusters [see grouping around 8450, 64650, 480900 etc.]

Crossrefs

A000720, A065134, A057809.

Sequence in context: A174813 A116444 A215820 * A075720 A106373 A190226

Adjacent sequences: A065133 A065134 A065135 * A065137 A065138 A065139

Keyword

nonn

Author

Labos Elemer, Oct 15 2001

Status

approved