id:A051770 - OEIS Search Results

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Numbers n such that there exists a binomial coefficient C(n,k) where C(n,k)-1 and C(n,k)+1 are twin primes and 2<=k<=floor(n/2).

+0
3

4, 11, 54, 69, 77, 89, 91, 155, 173, 199, 202, 202, 208, 218, 245, 272, 286, 293, 293, 323, 324, 347, 368, 370, 373, 379, 413, 489, 512, 514, 533, 549, 552, 558, 637, 650, 674, 731, 749, 759, 771, 773, 782, 783, 787, 811, 849, 850, 883, 896, 902, 927, 937 (list; graph; listen)

	OFFSET	`1,1`
	COMMENT	`The integer 202 occurs twice because both C(202,34) and C(202,69) yield twin prime pairs.`
	LINKS	`Source`
	EXAMPLE	`The integer 11 is a member of the sequence because C(11,5)=462 and 461 and 463 are twin primes.`
	CROSSREFS	`A051735, A051771.` `Sequence in context: A149316 A149317 A027042 this_sequence A032181 A081073 A002831` `Adjacent sequences: A051767 A051768 A051769 this_sequence A051771 A051772 A051773`
	KEYWORD	`nonn`
	AUTHOR	`Joe DeMaio (jdemaio(AT)kennesaw.edu), Dec 08 1999`

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Last modified December 15 00:47 EST 2009. Contains 170825 sequences.

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