A343714 Palindromic primes of the form p//q//reverse(p), where p is a prime (not necessarily palindromic) and q, of course, is a palindromic prime.

353, 373, 727, 757, 11311, 13331, 19391, 31013, 31513, 33533, 37273, 37573, 39293, 71317, 71917, 73237, 77977, 79397, 97379, 97579, 1035301, 1092901, 1093901, 1175711, 1178711, 1273721, 1317131, 1335331, 1338331, 1513151, 1572751, 1633361, 1737371, 1793971

Offset

1,1

Comments

Note that reverse(p) need not be a prime; e.g., a(7)=19391 is the concatenation of 19, 3, and 91=7*13. If a requirement were added that reverse(p) also be a prime, the result would be sequence A343715.

Links

Table of n, a(n) for n=1..34.

Example

353 is a term because it is a palindromic prime (A002385) and is the concatenation of 3 (a prime), 5 (a palindromic prime), and 3 (the reverse of 3).
31513 is a term in two ways: as the concatenation 3//151//3 and as the concatenation 31//5//13.
7392937 is a term in three ways: 7//39293//7, 73//929//37, and 739//2//937.

Crossrefs

Cf. A002385, A045336, A177678, A343715.

Sequence in context: A104160 A245440 A145023 * A343715 A177678 A058375

Adjacent sequences: A343711 A343712 A343713 * A343715 A343716 A343717

Keyword

nonn,base

Author

Jon E. Schoenfield, May 08 2021

Status

approved