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A100339
Primes of the form 2^q + q where q is not a prime.
1
3, 521, 32783, 549755813927, 37778931862957161709643, 2417851639229258349412433
OFFSET
1,1
COMMENTS
The next term is 2^735+735 = 18073..35103, 222 digits long.
LINKS
Amiram Eldar, Table of n, a(n) for n = 1..11 (terms 1..7 from N. J. A. Sloane)
FORMULA
a(n) = A006127(A100556(n-1)) for n >= 2. - Amiram Eldar, Jun 30 2024
EXAMPLE
For q = 9, 2^9+9 = 521 which is prime.
MATHEMATICA
Select[Table[If[!PrimeQ[n], 2^n+n, 0], {n, 1200}], PrimeQ] (* Vladimir Joseph Stephan Orlovsky, Feb 18 2011*)
PROG
(PARI) g1(p, n)=for(x=1, n, c=composite(x); y=p^c+c; if(gcd(y, c)==1, if(isprime(y), print1 (y", ")))) composite(n) = \ the n-th composite number { local(c, x); c=1; x=0; while(c <= n, x++; if(!isprime(x), c++); ); return(x) }
CROSSREFS
KEYWORD
nonn
AUTHOR
Cino Hilliard, Jan 11 2005
STATUS
approved