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A227230
Numbers k such that 3*2^k + {5,7} are twin primes.
0
1, 2, 3, 5, 6, 19, 22
OFFSET
1,2
COMMENTS
No more terms up to 10^4.
Any subsequent terms exceed 200,000. - Lucas A. Brown, Sep 02 2024
Any subsequent terms exceed 10^6, by non-primality of 3*2^k+7 for members of b-file at A057913 > 22 and table in Section 6 of Grantham and Granville link. - Michael S. Branicky, Sep 07 2024
LINKS
Jon Grantham and Andrew Granville, Fibonacci primes, primes of the form 2^n-k and beyond, arXiv:2307.07894 [math.NT], 2023.
MATHEMATICA
Reap[Do[If[PrimeQ[a=3*2^n+5]&&PrimeQ[a+2], Sow[n]], {n, 150}]][[2, 1]]
PROG
(PARI) for(k = 1, 10^4, if(ispseudoprime(a = 3*2^k + 5)&&ispseudoprime (a + 2), print1(k", ")))
CROSSREFS
Intersection of A057913 and A059746. - Jason Yuen, Sep 02 2024
Sequence in context: A276353 A109628 A192367 * A102977 A238335 A131599
KEYWORD
nonn,more,hard
AUTHOR
Zak Seidov, Sep 20 2013
STATUS
approved