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

Author

Labos Elemer, Oct 15 2001

Keywords

• nonn

Comments

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

Examples

			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.]
		

Links

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

Crossrefs

A000720, A065134, A057809.