A007616 Palindromic reflectable primes. (Formerly M2911)

3, 11, 101, 131, 181, 313, 383, 10301, 11311, 13331, 13831, 18181, 30103, 30803, 31013, 38083, 38183, 1003001, 1008001, 1180811, 1183811, 1300031, 1303031, 1311131, 1333331, 1338331, 1831381, 1880881, 1881881, 1883881, 3001003, 3083803, 3103013, 3181813, 3310133

Offset

1,1

Comments

Also called triadic primes. - Arkadiusz Wesolowski, Apr 10 2011

Members of A002385 whose digits are in [0,1,3,8]. - Robert Israel, Mar 16 2017

References

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

C. W. Trigg, Reflectable primes, J. Rec. Math., 15 (No. 1, 1983), p. 252.

Links

Robert Israel, Table of n, a(n) for n = 1..10000

Chris Caldwell, The Prime Glossary, Triadic prime

G. L. Honaker, Jr. and Chris Caldwell, Prime Curios! 101838101

C. W. Trigg, Reflectable primes, J. Rec. Math., 15 (No. 4, 1983), p. 252. (Annotated scanned copy)

Maple

S[1]:= [0, 1, 3, 8]
for i from 2 to 5 do
  S[i]:= map(t -> seq(j*(10^(2*i-2)+1)+10*t, j=[0, 1, 3, 8]), S[i-1])
od:
sort(select(isprime, [11, seq(op(S[i]), i=1..5)])); # Robert Israel, Mar 16 2017

Mathematica

Select[FromDigits/@Tuples[{0, 1, 3, 8}, 7], PrimeQ[#]&&PalindromeQ[#]&] (* Harvey P. Dale, Mar 10 2023 *)

Crossrefs

Cf. A002385.

Sequence in context: A348154 A072640 A154299 * A121045 A092245 A238446

Adjacent sequences: A007613 A007614 A007615 * A007617 A007618 A007619

Keyword

nonn,base

Author

N. J. A. Sloane, Robert G. Wilson v, Mira Bernstein

Extensions

More terms from Arkadiusz Wesolowski, Sep 30 2011

Status

approved