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A239429 Numbers n such that n^6+6 and n^6-6 are prime. 1
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 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
All numbers are congruent to 35 mod 70.
Intersection of A109836 and A239414.
LINKS
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
Sequence in context: A222774 A209710 A056935 * A268872 A104651 A212946
KEYWORD
nonn
AUTHOR
Derek Orr, Mar 20 2014
STATUS
approved

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Last modified April 22 18:29 EDT 2024. Contains 371906 sequences. (Running on oeis4.)