A113741 - OEIS

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A113741

Pierpont 9-almost primes. 9-almost primes of form (2^K)*(3^L)+1.

1601009443167990625, 1897492673384285185, 39346408075296537575425, 46005119909369701466113, 221073919720733357899777, 2153693963075557766310748, 3925770232266214525108225 (list; graph; refs; listen; history; internal format)

	OFFSET	`1,1`
	LINKS	`Eric Weisstein's World of Mathematics, Pierpont Prime` `Eric Weisstein's World of Mathematics, Almost Prime`
	FORMULA	`a(n) is in this sequence iff there exist nonnegative integers K and L such that Omega((2^K)*(3^L)+1) = 9.`
	EXAMPLE	`a(1) = 1601009443167990625 = (2^5)(3^35)+1 = 5 5 * 5 * 5 * 5 * 7 * 11 * 241 * 27608073601.` `a(2) = 1897492673384285185 = (2^10)(3^32)+1 = 5 13 * 13 * 13 * 41 * 41 * 373 * 2357 * 116881.`
	CROSSREFS	`Intersection of A046312 and A055600.` `A005109 gives the Pierpont primes, which are primes of the form (2^K)(3^L)+1.` `A113432 gives the Pierpont semiprimes, 2-almost primes of the form (2^K)(3^L)+1.` `A112797 gives the Pierpont 3-almost primes, of the form (2^K)(3^L)+1.` `A111344 gives the Pierpont 4-almost primes, of the form (2^K)(3^L)+1.` `A111345 gives the Pierpont 5-almost primes, of the form (2^K)(3^L)+1.` `A111346 gives the Pierpont 6-almost primes, of the form (2^K)(3^L)+1.` `A113739 gives the Pierpont 7-almost primes, of the form (2^K)(3^L)+1.` `A113740 gives the Pierpont 8-almost primes, of the form (2^K)(3^L)+1.` `Sequence in context: A095434 A183085 A160045 * A115529 A113740 A115539` `Adjacent sequences: A113738 A113739 A113740 * A113742 A113743 A113744`
	KEYWORD	`easy,nonn`
	AUTHOR	`Jonathan Vos Post (jvospost3(AT)gmail.com), Nov 08 2005`
	EXTENSIONS	`Extended by Ray Chandler (rayjchandler(AT)sbcglobal.net), Nov 08 2005`

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Last modified February 14 16:22 EST 2012. Contains 205635 sequences.