OFFSET
1,2
COMMENTS
For k > 1, numbers k such that the digit 3 followed by k-2 occurrences of the digit 0 followed by the digits 11 is prime (see Example section).
a(24) > 2*10^5.
LINKS
Makoto Kamada, Factorization of near-repdigit-related numbers.
Makoto Kamada, Search for 30w11.
EXAMPLE
2 is in this sequence because 3*10^2 + 11 = 311 is prime.
Initial terms and associated primes:
a(1) = 1, 41;
a(2) = 2, 311;
a(3) = 3, 3011;
a(4) = 4, 30011;
a(5) = 13, 30000000000011; etc.
MATHEMATICA
Select[Range[0, 100000], PrimeQ[3*10^# + 11] &]
PROG
(PARI) isok(k) = isprime(3*10^k + 11); \\ Michel Marcus, Nov 22 2017
CROSSREFS
KEYWORD
nonn,more,hard
AUTHOR
Robert Price, Nov 21 2017
EXTENSIONS
a(22)-a(23) from Robert Price, Jul 22 2018
STATUS
approved