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

Author

Carmine Suriano, Sep 02 2010

Keywords

• nonn
• base
• changed

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

Examples

			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.
		

Links

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

Crossrefs

Cf. A007500, A180404.

Programs

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 *)

Formula

A180404 INTERSECT A007500. - R. J. Mathar, Nov 23 2010