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A152084 Primes p such that p + 2^floor(log_2(p)) is prime. 1
3, 7, 11, 31, 41, 47, 67, 73, 103, 109, 127, 149, 179, 239, 251, 307, 313, 331, 337, 397, 421, 463, 487, 521, 557, 617, 641, 659, 701, 719, 809, 887, 911, 941, 947, 971, 977, 1019, 1039, 1063, 1087, 1117, 1129, 1213, 1249, 1327, 1399, 1423, 1453, 1567, 1597 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

a(n) + 2^floor(log_2(a(n))) = A152085(n).

If a(n) is written in binary and the leftmost 1 is replaced with "10", then we would have the binary representation of A152085(n), which is a prime.

Sequence A091932 contains the related primes p where p - 2^floor(log_2(p)) = prime.

LINKS

Table of n, a(n) for n=1..51.

CROSSREFS

A152085, A091932

Sequence in context: A318263 A213740 A267357 * A274134 A131588 A091938

Adjacent sequences:  A152081 A152082 A152083 * A152085 A152086 A152087

KEYWORD

nonn

AUTHOR

Leroy Quet, Nov 23 2008

EXTENSIONS

Extended by Ray Chandler, Nov 26 2008

STATUS

approved

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Last modified October 15 03:16 EDT 2019. Contains 328025 sequences. (Running on oeis4.)