A239429 Numbers n such that n^6+6 and n^6-6 are prime.

175, 12635, 18445, 30275, 32585, 38885, 41125, 46235, 53165, 71785, 74935, 92645, 108115, 117775, 121625, 146125, 151655, 173635, 184765, 191765, 196175, 204505, 208705, 229775, 237965, 241255, 243635, 246365, 283115, 335755, 344365, 345485, 352625, 353395, 354445

Offset

1,1

Comments

All numbers are congruent to 35 mod 70.

Intersection of A109836 and A239414.

Links

Harvey P. Dale, Table of n, a(n) for n = 1..1000

Example

175^6+6 = 28722900390631 is prime and 175^6-6 = 28722900390619 is prime. Thus, 175 is a member of this sequence.

Mathematica

Select[Range[35, 360000, 70], AllTrue[#^6+{6, -6}, PrimeQ]&] (* Requires Mathematica version 10 or later *) (* Harvey P. Dale, Nov 22 2020 *)

Prog

(Python)
import sympy
from sympy import isprime
def TwoBoth(x):
..for k in range(10**6):
....if isprime(k**x+x) and isprime(k**x-x):
......print(k)
TwoBoth(6)

Crossrefs

Cf. A109836, A239414.

Sequence in context: A222774 A209710 A056935 * A268872 A104651 A212946

Adjacent sequences: A239426 A239427 A239428 * A239430 A239431 A239432

Keyword

nonn

Author

Derek Orr, Mar 20 2014

Status

approved