A208361 "1-ply" palindromic primes; see Comments.

2, 3, 5, 7, 100030001, 100050001, 100060001, 100111001, 100131001, 100161001, 100404001, 100656001, 100707001, 100767001, 100888001, 100999001, 101030101, 101060101, 101141101, 101171101, 101282101, 101292101, 101343101, 101373101, 101414101, 101424101, 101474101

Offset

1,1

Comments

From the Ribenboim book: palindromic primes whose length is not a palindromic prime.

a(42046) = 999727999 and a(42047) = 1000008000001. [Charles R Greathouse IV, Feb 26 2012]

References

Paulo Ribenboim, The New Book of Prime Number Records, Springer-Verlag New York Inc., 1996, p. 160-161.

Links

Alvin Hoover Belt and T. D. Noe, Table of n, a(n) for n = 1..10000 (first 100 terms from Alvin Hoover Belt)

Example

2 is a palindromic prime of 1 digit, but 1 is not prime, therefore 2 is a 1-ply palindromic prime.
100050001 is a palindromic prime of 9 digits, but 9 is composite, therefore 100050001 is a 1-ply palindromic prime.

Mathematica

t = {2, 3, 5, 7}; n = 10000; While[n <= 99999 && Length[t] < 100, n = n + 1; d = IntegerDigits[n]; d2 = FromDigits[Join[d, Rest[Reverse[d]]]]; If[PrimeQ[d2], AppendTo[t, d2]]]; t (* T. D. Noe, Jun 03 2013 *)

Crossrefs

Cf. A109830.

Sequence in context: A037948 A007659 A288715 * A145380 A136740 A105994

Adjacent sequences: A208358 A208359 A208360 * A208362 A208363 A208364

Keyword

nonn,base

Author

Alvin Hoover Belt, Feb 25 2012

Extensions

a(5)-a(26) from Charles R Greathouse IV, Feb 26 2012

Status

approved