A084375 Indices of primes which remain prime if any one digit is deleted (leading zeros allowed).

9, 12, 16, 21, 30, 32, 33, 40, 41, 45, 64, 66, 83, 113, 128, 170, 173, 184, 239, 302, 333, 341, 446, 555, 657, 804, 903, 942, 1194, 1252, 1295, 1345, 2258, 2652, 2943, 3246, 3926, 4205, 4939, 7243, 7318, 8716, 8864, 9028, 9103, 10594, 15249, 28712, 30451

Offset

1,1

Comments

Primes of this kind (with and without leading zeros) are in A051362 and A034302.

Here more terms are given and question is asked: is this sequence finite? From first 1000000 primes only 77 are of this kind.

Links

Table of n, a(n) for n=1..49.

Formula

a(n) = primepi(A051362(n)). - Sean A. Irvine, Apr 08 2026

Example

The 41st prime is 179, and 17, 19, and 79 are all primes, so 41 is in the sequence. - Harvey P. Dale, Jun 20 2011

Crossrefs

Cf. A034302, A051362.

Sequence in context: A084799 A166136 A120154 * A373267 A076674 A176062

Adjacent sequences: A084372 A084373 A084374 * A084376 A084377 A084378

Keyword

nonn,base

Author

Zak Seidov, Jun 23 2003

Extensions

Definition corrected by Harvey P. Dale, Jun 20 2011

Status

approved