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Search: id:A118213
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| A118213 |
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Prime numbers p such that the reversal of all the five numbers p, p^2, p^3, p^4 and p^5 are primes. |
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2
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| 10282339, 10306511, 32667367, 102615679, 105709573, 107647367, 107776891, 113265953, 198471113, 324580307, 981466259, 982322251, 983075549, 1001315129, 1002340429, 1004157421, 1005362971, 1007811719, 1008125953, 1099887589
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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9835884797 is the smallest term such that the reversal of p^6 is also prime. - Hans Havermann (pxp(AT)rogers.com), Apr 22 2006
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EXAMPLE
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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.
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MATHEMATICA
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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}]
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CROSSREFS
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Cf. A118212.
Sequence in context: A109177 A109179 A030093 this_sequence A061407 A066870 A071370
Adjacent sequences: A118210 A118211 A118212 this_sequence A118214 A118215 A118216
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KEYWORD
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base,nonn
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AUTHOR
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Farideh Firoozbakht (mymontain(AT)yahoo.com), Apr 21 2006
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