A034926 Numbers k such that 101^k-100 is prime.

3, 7, 9, 19, 29, 99, 145, 623, 3001, 6225, 23163

Offset

1,1

Comments

Related to hyperperfect numbers of a certain form.

101^623-100, a 1249-digit number, has been certified prime with Primo. - Rick L. Shepherd, Jun 21 2002

a(10) > 6100. - Michael S. Branicky, Mar 07 2021

Links

Table of n, a(n) for n=1..11.

J. S. McCranie, A study of hyperperfect numbers, J. Int. Seqs. Vol. 3 (2000) #P00.1.3.

Mathematica

Do[ If[ PrimeQ[101^n - 100], Print[n]], {n, 1, 1850}]

Prog

(PARI) is(n)=ispseudoprime(101^n-100) \\ Charles R Greathouse IV, Jun 13 2017
(Python)
from sympy import isprime
def aupto(lim): return [k for k in range(lim+1) if isprime(101**k-100)]
print(aupto(625)) # Michael S. Branicky, Mar 07 2021

Crossrefs

Sequence in context: A073573 A309328 A059621 * A224849 A304128 A304539

Adjacent sequences: A034923 A034924 A034925 * A034927 A034928 A034929

Keyword

nonn,more

Author

Jud McCranie

Extensions

Edited and extended by Robert G. Wilson v, Jun 18 2002

a(9) from Michael S. Branicky, Mar 07 2021

a(10) from Michael S. Branicky, Jan 12 2023

a(11) from Michael S. Branicky, Jun 08 2024

Status

approved