OFFSET
1,1
COMMENTS
A particularly low-density pseudo-Mersenne sequence. I have verified that there are no additional terms for k < 5*10^4. For k = a(5), a(6), a(7), and a(8), 2^k - 29 is a probable prime (see link).
The terms a(5)-a(8) were discovered by Henri Lifchitz (see link). - Elmo R. Oliveira, Nov 29 2023
Empirically: except for 5, all terms are even. - Elmo R. Oliveira, Nov 29 2023
LINKS
Henri Lifchitz and Renaud Lifchitz, Search for 2^n-29, PRP Top Records.
EXAMPLE
5 is a term because 2^5 - 29 = 3 is prime.
8 is a term because 2^8 - 29 = 227 is prime.
PROG
(PARI) for(n=2, 1000, if(isprime(2^n-29), print1(n, ", ")))
CROSSREFS
KEYWORD
nonn,more
AUTHOR
Craig J. Beisel, Aug 29 2022
STATUS
approved