A353137 - OEIS

A353137

Primes whose gaps to both neighbor primes are powers of two.

3, 5, 7, 11, 13, 17, 19, 41, 43, 71, 97, 101, 103, 107, 109, 193, 197, 227, 229, 281, 311, 313, 349, 397, 401, 457, 461, 463, 487, 491, 499, 617, 643, 743, 761, 769, 823, 827, 857, 859, 881, 883, 911, 937, 1091, 1093, 1279, 1301, 1303, 1427, 1429, 1447, 1451

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OFFSET

1,1

LINKS

Alois P. Heinz, Table of n, a(n) for n = 1..10000

EXAMPLE

Prime 1447 is a term, the gap to the previous prime 1439 is 8 and the gap to the next prime 1451 is 4 and both gaps are powers of two.

MAPLE

p2:= proc(n) option remember; is(n=2^ilog2(n)) end:

q:= n-> isprime(n) and andmap(p2, [n-prevprime(n), nextprime(n)-n]):

select(q, [$3..3000])[];

MATHEMATICA