OFFSET
1,1
COMMENTS
If n is the index of the sequence member, then there is the following asymptotic behavior of the sequence: n is approximately equal to sqrt(3*k) where k is the prime index so that the number of a(n)'s is the square root of 3 times the number of primes.
EXAMPLE
a(5)=23 since 23^5 + 23^3 + 1 = 6448511 is a prime.
MATHEMATICA
Select[Prime[Range[750]], PrimeQ[#^5+#^3+1]&] (* Harvey P. Dale, Sep 12 2016 *)
PROG
(Magma) [p: p in PrimesUpTo(6000)|IsPrime(p^5+p^3+1)] // Vincenzo Librandi, Jan 29 2011
CROSSREFS
KEYWORD
less,nonn
AUTHOR
Carmine Suriano, Sep 07 2010
STATUS
approved