A118213 Prime numbers p such that the reversal of all the five numbers p, p^2, p^3, p^4 and p^5 are primes.

10282339, 10306511, 32667367, 102615679, 105709573, 107647367, 107776891, 113265953, 198471113, 324580307, 981466259, 982322251, 983075549, 1001315129, 1002340429, 1004157421, 1005362971, 1007811719, 1008125953, 1099887589

Offset

1,1

Comments

9835884797 is the smallest term such that the reversal of p^6 is also prime. - Hans Havermann, Apr 22 2006

Links

Table of n, a(n) for n=1..20.

Example

p=10282339 is in the sequence because p is prime; reversal(p^k)
for k=1,2,...,5 are respectively 93328201, 129013594627501,
9124210088606665117801, 14286816400200203701819087111 &
996592728588610999557150173929639411 and these five numbers
are primes.

Mathematica

Do[If[n=Prime[m]; 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]], {m, 56000000}]

Crossrefs

Cf. A118212.

Sequence in context: A328939 A234062 A235723 * A205893 A186534 A061407

Adjacent sequences: A118210 A118211 A118212 * A118214 A118215 A118216

Keyword

base,nonn

Author

Farideh Firoozbakht, Apr 21 2006

Status

approved