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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. 4
10282339, 10306511, 32667367, 102615679, 105709573, 107647367, 107776891, 113265953, 198471113, 324580307, 981466259, 982322251, 983075549, 1001315129, 1002340429, 1004157421, 1005362971, 1007811719, 1008125953, 1099887589 (list; graph; refs; listen; history; text; internal format)
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: A188755 A234062 A235723 * A205893 A186534 A061407

Adjacent sequences:  A118210 A118211 A118212 * A118214 A118215 A118216

KEYWORD

base,nonn

AUTHOR

Farideh Firoozbakht, Apr 21 2006

STATUS

approved

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Last modified October 21 16:20 EDT 2019. Contains 328302 sequences. (Running on oeis4.)