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A171261
Numbers n such that prime(n)^nn is prime.
0
2, 8, 24, 42
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OFFSET
1,1
COMMENTS
All terms are even. There is no further term up to 10000. So the prime
corresponding to the next term if it exists has more than 50200 digits.
1 and 2 are the only known numbers n (up to 10000) such that prime(n)^n+n
is prime.
LINKS
Table of n, a(n) for n=1..4.
EXAMPLE
prime(2)^22=3^22=7 is prime, so 2 is in the sequence.
MATHEMATICA
Do[If[PrimeQ[Prime[n]^nn], Print[n]], {n, 50000}]
CROSSREFS
Cf.
A000040
.
Sequence in context:
A062247
A284951
A357635
*
A084744
A122547
A152132
Adjacent sequences:
A171258
A171259
A171260
*
A171262
A171263
A171264
KEYWORD
nonn
AUTHOR
Farideh Firoozbakht
, Dec 07 2009
STATUS
approved
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Last modified May 29 04:03 EDT 2023. Contains 363029 sequences. (Running on oeis4.)