editing

approved

Select[Range[20000000], And@@PrimeQ[FromDigits[Reverse[ IntegerDigits[ #]]]&/@ (#^Range[5])]&] (* Harvey P. Dale, Jan 17 2014 *)

approved

editing

Contribution from F. _Farideh Firoozbakht (mymontain(AT)yahoo.com), _, Sep 29 2009: (Start)

Cf. A165698. [From F. _Farideh Firoozbakht (mymontain(AT)yahoo.com), _, Sep 29 2009]

_Farideh Firoozbakht (mymontain(AT)yahoo.com), _, Apr 21 2006

Contribution from F. Firoozbakht (mymontain(AT)yahoo.com), Sep 29 2009: (Start)

110218462 is the smallest term n such that the reversal of n^6 is also prime.

A165698 is a subsequence of this sequence such that for each term n reversal(n^6)

is also prime. (End)

Cf. A165698. [From F. Firoozbakht (mymontain(AT)yahoo.com), Sep 29 2009]

base,easy,nonn,new

Numbers n such that the reversal of all five numbers n^1, n^2, n^3 n^4 & and n^5 are primes.

& and 422250654361652953 and these five numbers are primes.

base,easy,nonn,new

Numbers n such that the reversal of all five numbers n^1, n^2, n^3 n^4 & n^5 are primes.

3244, 32440, 324400, 324886, 1109311, 1979137, 3244000, 3248860, 10212316, 10255493, 10282339, 10306511, 10503781, 10573126, 10657861, 10692107, 11093110, 11145841, 11171452, 19791370, 19855967, 19875058, 19912073

1,1

This sequence is infinite because if n is in the sequence then for all natural numbers m, 10^m*n is in the sequence.

3244 is in the sequence because reversal(3244^k) for k=1,2,...,5

are respectively 4423, 63532501, 48705383143, 692349908447011,

& 422250654361652953 and these five numbers are primes.

Do[If[PrimeQ[FromDigits[Reverse[IntegerDigits[n]]]] && PrimeQ[FromDigits[Reverse[IntegerDigits[n^2]]]] && PrimeQ [FromDigits[Reverse[IntegerDigits[n^3]]]] && PrimeQ[FromDigits [Reverse[IntegerDigits[n^4]]]] && PrimeQ[FromDigits[Reverse [IntegerDigits[n^5]]]], Print[n]], {n, 32000000}]

Cf. A118213.

base,easy,nonn,new

Farideh Firoozbakht (mymontain(AT)yahoo.com), Apr 21 2006

approved