A243897 Primes p such that p^5 + p^3 + p - 2 is prime.

3, 5, 11, 13, 23, 43, 131, 311, 353, 401, 491, 761, 1051, 1063, 1091, 1151, 1201, 1433, 1523, 1531, 1723, 1733, 1811, 1831, 1951, 1973, 2053, 2081, 2221, 2333, 2543, 2591, 2621, 2663, 2953, 2963, 3191, 3433, 3571, 3623, 3643, 3821, 3911, 4051, 4273, 4391, 4973, 5273, 5393, 5591, 6101, 6131, 6173, 6203, 6263, 6473

Offset

1,1

Links

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

Example

p = 3 is in this sequence because p^5 + p^3 + p - 2 = 271 (prime).
p = 5 is in this sequence because p^5 + p^3 + p - 2 = 3253 (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: A079448 A045407 A317309 * A153075 A287940 A237349

Adjacent sequences: A243894 A243895 A243896 * A243898 A243899 A243900

Keyword

nonn,easy

Author

Abhiram R Devesh, Jun 14 2014

Status

approved