A255967 - OEIS

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A255967

Odd numbers n that are neither of the form p + 2^k nor of the form p - 2^k with 2^k < n, and p prime.

1, 1973, 3181, 3967, 4889, 5617, 7747, 7913, 8363, 8587, 8923, 11437, 11993, 12517, 13285, 13973, 14101, 14231, 14489, 16117, 16769, 16849, 18391, 18611, 19583, 19819, 21289, 21683, 21701, 21893, 22147, 22817, 22949, 23651, 24943, 25829, 27197, 27437 (list; graph; refs; listen; history; text; internal format)

	OFFSET	`1,2`
	COMMENTS	`Odd n such that for all 2^k < n the numbers n + 2^k and n - 2^k are composite.`
	LINKS	`Table of n, a(n) for n=1..38.`
	PROG	`(MAGMA) lst:=[]; for n in [1..27437 by 2] do t:=0; k:=0; while 2^k lt n do if IsPrime(n-2^k) or IsPrime(n+2^k) then t:=1; break; end if; k+:=1; end while; if IsZero(t) then Append(~lst, n); end if; end for; lst;`
	CROSSREFS	`Cf. A076335.` `Subsequence of A006285. Supersequence of A256163.` `A153352 gives the primes.` `Sequence in context: A205210 A183692 A206218 * A153352 A251816 A108386` `Adjacent sequences: A255964 A255965 A255966 * A255968 A255969 A255970`
	KEYWORD	`nonn`
	AUTHOR	`Arkadiusz Wesolowski, Mar 12 2015`
	STATUS	`approved`

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Last modified July 21 00:49 EDT 2019. Contains 325189 sequences. (Running on oeis4.)