A323115 Numbers k such that 429*2^k+1 is prime.

1, 3, 5, 6, 9, 11, 21, 27, 37, 54, 55, 113, 147, 181, 185, 222, 313, 317, 695, 1003, 1270, 1385, 1483, 1519, 1567, 2057, 2550, 4014, 4467, 5773, 6078, 6103, 7951, 9958, 11317, 11807, 12974, 14046, 14401, 14585, 16686, 17433, 37525, 62486, 65195, 76726, 85881

Offset

1,2

Links

Robert Price, Table of n, a(n) for n = 1..62

Ray Ballinger, Proth Search Page

Ray Ballinger and Wilfrid Keller, List of primes k.2^n + 1 for 300 < k < 600

Y. Gallot, Proth.exe: Windows Program for Finding Large Primes

Wilfrid Keller, List of primes k.2^n - 1 for k < 300

Eric Weisstein's World of Mathematics, Proth Prime

Index entries for sequences of n such that k*2^n-1 (or k*2^n+1) is prime

Maple

select(k->isprime(429*2^k+1), [$1..1000]); # Muniru A Asiru, Jan 05 2019

Mathematica

Select[Range[1000], PrimeQ[429*2^# + 1] &]

Prog

(Python)
from sympy.ntheory.primetest import isprime
for n in range(1, 1000):
    if isprime(429*2**n+1):
        print(n, end=', ') # Stefano Spezia, Jan 05 2019

Crossrefs

Sequence in context: A248638 A248881 A205534 * A285377 A192577 A236343

Adjacent sequences: A323112 A323113 A323114 * A323116 A323117 A323118

Keyword

nonn,hard

Author

Robert Price, Jan 04 2019

Status

approved