A180406 Primes p from sequence A180404 whose reverse is also a prime.

11, 101, 191, 313, 337, 359, 373, 733, 739, 757, 937, 953, 1033, 1091, 1109, 1181, 1213, 1231, 1259, 1321, 1381, 1439, 1583, 1811, 1831, 1901, 3121, 3163, 3299, 3301, 3343, 3433, 3613, 3851, 3929, 7057, 7187, 7507, 7817, 7949, 9011, 9293, 9341, 9479

Offset

1,1

Comments

The reverse is obviously also in A180404 because the sum of the fifth powers of digits is not changed by digit reversal [R. J. Mathar, Nov 23 2010]

Links

Harvey P. Dale, Table of n, a(n) for n = 1..1000

Formula

A180404 INTERSECT A007500. [R. J. Mathar, Nov 23 2010]

Example

a(5)=337 since 3^5+3^5+7^5=243+243+16807=17293 is still a prime and reverse(337)=733 is a prime, with same property.

Mathematica

Select[Prime[Range[1200]], AllTrue[{IntegerReverse[#], Total[ IntegerDigits[ #]^5]}, PrimeQ]&] (* The program uses the AllTrue function from Mathematica version 10 *) (* Harvey P. Dale, Aug 20 2017 *)

Crossrefs

Cf. A180404

Sequence in context: A032592 A180404 A142317 * A174884 A121402 A156307

Adjacent sequences: A180403 A180404 A180405 * A180407 A180408 A180409

Keyword

nonn,base

Author

Carmine Suriano, Sep 02 2010

Status

approved