No term is a multiple of 3. The decimal expansion of each corresponding prime is n's decimal expansion with n 3's concatenated. Primes and probable primes found by PrimeForm. Primes for 275 and 1556 proved by Primo. No more terms up to 30000.
Table of n, a(n) for n=1..4.
The numbers 1 and 2 are terms because 13 and 233 are prime.
(PARI) is(n)=ispseudoprime(n*10^n+(10^n-1)/3) \\ Charles R Greathouse IV, Jun 13 2017
Cf. A068817 (n followed by n 1's is prime), A133127 (n followed by n 7's is prime), A174352 (n followed by n 9's is prime).
Sequence in context: A135696 A008775 A237993 * A200168 A215043 A119553
Adjacent sequences: A174707 A174708 A174709 * A174711 A174712 A174713
Rick L. Shepherd, Mar 27 2010