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A361680
The n-th prime p such that p + 2^n is also prime.
2
3, 7, 11, 31, 47, 67, 83, 163, 179, 193, 263, 367, 389, 499, 563, 571, 887, 967, 1229, 1087, 1367, 1873, 1289, 2647, 1907, 2083, 1979, 2557, 2267, 3697, 2909, 3121, 3761, 4507, 4373, 4723, 5279, 5857, 6359, 6793, 7727, 8167, 7853, 6823, 6779, 8059, 9479, 10567
OFFSET
1,1
COMMENTS
This sequence is non-monotonic: a(19) = 1229 > a(20) = 1087.
LINKS
FORMULA
a(n) = A361679(n,n).
MAPLE
b:= proc() option remember; local f; f:= proc() [] end;
proc(n, k) option remember; local p;
p:= `if`(nops(f(k))=0, 1, f(k)[-1]);
while nops(f(k))<n do p:= nextprime(p);
if isprime(p+2^k) then f(k):= [f(k)[], p] fi
od; f(k)[n]
end
end():
a:= n-> b(n$2):
seq(a(n), n=1..55);
CROSSREFS
Main diagonal of A361679.
Cf. A000040.
Sequence in context: A152084 A274134 A131588 * A091938 A333424 A186893
KEYWORD
nonn
AUTHOR
Alois P. Heinz, Mar 20 2023
STATUS
approved