A359044 Primes p such that primepi(p)-1 divides p-1.

3, 5, 7, 31, 97, 101, 331, 1009, 1093, 1117, 1123, 1129, 3067, 64621, 480853, 481009, 481021, 481093, 481297, 481417, 3524431, 9558361, 9559591, 9560041, 9560071, 189961939, 189962011, 189962137, 189962623, 189963271, 189963901, 189968923, 514273609, 514274027

Offset: 1

Author

Chai Wah Wu, Dec 14 2022

Keywords

• nonn

Examples

			prime(11) = 31 and 11-1 divides 31-1, so 31 is a term.
		

Crossrefs

Cf. A105286.

Programs

Python

from itertools import count, islice
from sympy import prime
def A359044_gen(): # generator of terms
    for i in count(2):
        if not ((p:=prime(i))-1) % (i-1):
            yield p
A359044_list = list(islice(A359044_gen(),10))

Formula

a(n) = prime(A105286(n)+1).