A076611 Palindromic primes with prime middle digit.

2, 3, 5, 7, 131, 151, 353, 373, 727, 757, 929, 10301, 10501, 11311, 12721, 13331, 14341, 14741, 15551, 16361, 16561, 19391, 30203, 30703, 31513, 32323, 33533, 34543, 35353, 35753, 36263, 36563, 37273, 37573, 38783, 39293, 70207, 70507

Offset

1,1

Comments

There are no such numbers with an even number of digits. This sequence is quite similar to the sequence A071119 up to 12th term.

Links

Table of n, a(n) for n=1..38.

Example

a(12)=10301 is palindromic prime and its middle digit 3 is prime, a(13)=10501 is palindromic prime and its middle digit 5 is prime, a(14)=11311 is palindromic prime and its middle digit 3 is prime, ...

Maple

ts_numprapal := proc(n) local ad, adr, midigit; ad := convert(n, base, 10): adr := ListTools[Reverse](ad): if nops(ad) mod 2 = 0 then return 1; fi; midigit := op( (nops(ad)+1)/2, ad ): if (isprime( midigit )='true' and adr=ad) then return 0; else return 1; fi end: ts_pra_num_pal := proc(n) local p1; p1 := ithprime(n): if ts_numprapal(p1) = 0 then return (p1) fi end: apranumpal := [seq(ts_pra_num_pal(i), i=1..100000)]: apranumpal;

Crossrefs

Cf. A002385, A069217, A071119.

Sequence in context: A167853 A117703 A039944 * A082805 A071119 A157869

Adjacent sequences: A076608 A076609 A076610 * A076612 A076613 A076614

Keyword

easy,nonn,base

Author

Jani Melik, Oct 21 2002

Status

approved