id:A156642 - OEIS Search Results

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Number of decompositions of 4n+2 into unordered sums of two primes of the form 4k+3

+0
2

0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 3, 3, 3, 3, 4, 3, 4, 6, 3, 2, 4, 3, 4, 5, 3, 2, 5, 3, 4, 5, 4, 4, 7, 4, 4, 5, 3, 6, 7, 3, 5, 7, 4, 4 (list; graph; listen)

	OFFSET	`0,4`
	COMMENT	`Conjecture. For n>=1, a(n)>0. This conjecture does not follow from the validity of the Goldbach binary conjecture because numbers of the form 4n+2, generally speaking, have also decompositions into sums of two primes of the form 4k+1.`
	CROSSREFS	`A002145 A002375 A061358 A002372 A045917` `Sequence in context: A094916 A036485 A030547 this_sequence A155124 A138033 A067754` `Adjacent sequences: A156639 A156640 A156641 this_sequence A156643 A156644 A156645`
	KEYWORD	`nonn`
	AUTHOR	`Vladimir Shevelev (shevelev(AT)bgu.ac.il), Feb 12 2009`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

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