A359044 - OEIS

The OEIS is supported by the many generous donors to the OEIS Foundation.

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

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

LINKS

Table of n, a(n) for n=1..34.

FORMULA

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

EXAMPLE

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

PROG

(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))

CROSSREFS

Cf. A105286.

Sequence in context: A247104 A006378 A162714 * A002396 A302099 A029508

Adjacent sequences: A359041 A359042 A359043 * A359045 A359046 A359047

KEYWORD

nonn

AUTHOR

Chai Wah Wu, Dec 14 2022

STATUS

approved