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 A180475 Primes of the form p^5 + p^3 + 1 where p is a prime. 1
 41, 271, 3251, 1424771, 6448511, 115925123, 229448831, 18425794691, 38581737743, 48264295811, 73443083699, 996266439503, 1258302388991, 1752012093443, 2159450038451, 2909420102783, 3201110256371, 18248780996099, 32198944966271, 124287677598479, 142214634995891 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Michael S. Branicky, Table of n, a(n) for n = 1..10000 FORMULA a(n) ~ prime(n)^18. EXAMPLE 115925123 is a term since 41^5 + 41^3 + 1 = 115925123 is prime. MATHEMATICA Select[ #^5 + #^3 + 1 & /@ Prime@ Range@ 90, PrimeQ] (* Robert G. Wilson v, Sep 10 2010 *) PROG (Python) from itertools import islice from sympy import isprime, nextprime def agen(): # generator of terms     p = 2     while True:         t = p**5 + p**3 + 1         if isprime(t):             yield t         p = nextprime(p) print(list(islice(agen(), 21))) # Michael S. Branicky, Mar 12 2022 CROSSREFS Cf. A000040, A180474. Sequence in context: A020866 A142690 A089318 * A142768 A140013 A342299 Adjacent sequences:  A180472 A180473 A180474 * A180476 A180477 A180478 KEYWORD nonn AUTHOR Carmine Suriano, Sep 07 2010 EXTENSIONS a(19) and beyond from Michael S. Branicky, Mar 12 2022 STATUS approved

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Last modified May 27 11:47 EDT 2022. Contains 354097 sequences. (Running on oeis4.)