A039687 - OEIS

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A039687

Primes of the form 3*2^k + 1.

7, 13, 97, 193, 769, 12289, 786433, 3221225473, 206158430209, 6597069766657, 221360928884514619393, 2353913150770005286438421033702874906038383291674012942337 (list; graph; refs; listen; history; text; internal format)

	OFFSET	`1,1`
	COMMENTS	`Primes of the form 6m+1 (A002476) of A074781. - Bernard Schott, Dec 14 2020`
	LINKS	`Table of n, a(n) for n=1..12.` `S. W. Golomb, Properties of the sequence 32^n+1, Math. Comp., 30 (1976), 657-663.` `S. W. Golomb, Properties of the sequence 32^n+1, Math. Comp., 30 (1976), 657-663. [Annotated scanned copy]` `Ernest G. Hibbs, Component Interactions of the Prime Numbers, Ph. D. Thesis, Capitol Technology Univ. (2022), see p. 33.`
	FORMULA	`a(n) = 3*2^A002253(n) + 1. - M. F. Hasler, Mar 03 2023`
	MATHEMATICA	`Select[Table[6 2^n+1, {n, 0, 250}], PrimeQ] (* Harvey P. Dale, Dec 17 2010 *)`
	PROG	`(PARI) A039687(n)=3<<A002253(n)+1 \\ M. F. Hasler, Mar 03 2023`
	CROSSREFS	`For more terms see A002253. These are the primes in A004119 (or A181565).` `Cf. A002476, A074781.` `Subsequence of A081091.` `Sequence in context: A132373 A110293 A253333 * A001544 A202152 A136720` `Adjacent sequences: A039684 A039685 A039686 * A039688 A039689 A039690`
	KEYWORD	`nonn`
	AUTHOR	`Felice Russo`
	STATUS	`approved`

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Last modified December 15 14:40 EST 2023. Contains 367803 sequences. (Running on oeis4.)