A199306 Palindromic primes in the sense of A007500 with digits '0', '1' and '6' only.

11, 101, 1061, 1601, 10061, 10601, 11161, 16001, 16061, 16111, 16661, 101611, 106661, 116101, 166601, 1011601, 1016011, 1016611, 1061101, 1066111, 1106101, 1110611, 1111661, 1116601, 1160111, 1160611, 1166101, 1600061, 1611161, 1616161, 1660661, 1661111, 10011101, 10100161, 10106111

Offset

1,1

Comments

All terms start and end with the digit '1'. This fact is used in the given PARI program.

Links

Table of n, a(n) for n=1..35.

Prog

(PARI) a(n=50, list=0, L=[0, 1, 6])={ for(d=1, 1e9, my(t, u=vector(d-1, i, 10^(d-i))~, o=10^d+1); forvec(v=vector(#u, i, [1, #L]), isprime(t=o+vector(#u, i, L[v[i]])*u) || next; isprime(A004086(t)) || next; list & print1(t", "); n-- || return(t)))}  \\ M. F. Hasler, Nov 07 2011
(Magma) [p: p in PrimesUpTo(10^8) | Set(Intseq(p)) subset [0, 1, 6] and IsPrime(Seqint(Reverse(Intseq(p))))]; // Bruno Berselli, Nov 07 2011

Crossrefs

Cf. A020449 - A020472, A062350, A087510 - A087515, A199325 - A199329.

Sequence in context: A289532 A288826 A068166 * A282958 A283061 A113978

Adjacent sequences: A199303 A199304 A199305 * A199307 A199308 A199309

Keyword

nonn,base

Author

M. F. Hasler, Nov 06 2011

Status

approved