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A243844 Primes p such that p^5 + p^3 + p + 2 is prime. 1
5, 7, 17, 67, 109, 127, 199, 359, 389, 467, 599, 647, 727, 829, 877, 887, 919, 947, 1187, 1259, 1429, 1789, 1889, 1987, 1997, 2099, 2129, 2309, 2399, 2417, 2557, 2647, 2837, 2909, 3187, 3329, 3359, 3469, 3517, 3527, 3769, 3917, 3967, 4049, 4217, 4289, 4349, 4357, 4507, 4517, 4937, 5309, 5507, 5527, 5879, 6247, 6337 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Abhiram R Devesh, Table of n, a(n) for n = 1..10000

EXAMPLE

p = 5 is in this sequence because p^5 + p^3 + p + 2 = 3257 (prime).

p = 7 is in this sequence because p^5 + p^3 + p + 2 = 17159 (prime).

PROG

(Python)

import sympy.ntheory as snt

p=1

while p>0:

....p=snt.nextprime(p)

....pp=p+(p**3)+(p**5)+2

....if snt.isprime(pp) == True:

........print(p, pp)

CROSSREFS

Sequence in context: A190663 A123195 A248480 * A271656 A145582 A034762

Adjacent sequences:  A243841 A243842 A243843 * A243845 A243846 A243847

KEYWORD

nonn,easy

AUTHOR

Abhiram R Devesh, Jun 14 2014

STATUS

approved

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Last modified February 22 07:46 EST 2020. Contains 332118 sequences. (Running on oeis4.)