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A123754 Positive numbers of the form 4*n^2-1 which are not semiprimes. +0
1
3, 63, 99, 195, 255, 399, 483, 575, 675, 783, 1023, 1155, 1295, 1443, 1599, 1935, 2115, 2303, 2499, 2703, 2915, 3135, 3363, 3843, 4095, 4355, 4623, 4899, 5475, 5775, 6083, 6399, 6723, 7055, 7395, 7743, 8099, 8463, 8835, 9215, 9603, 9999, 10815 (list; graph; listen)
OFFSET

1,1

COMMENT

Positive numbers of the form 4*n^2-1 which are semiprimes can be found in A037074.

Or, all positive products of the form A014076(i)*[A014076(i)+-2], duplicates removed. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Aug 08 2007

FORMULA

( A000466 MINUS {-1} ) MINUS A001358. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Aug 08 2007

MATHEMATICA

Select[4*(Range[54])^2-1, Not[PrimeQ[Sqrt[(#+ 1)]-1] && PrimeQ[Sqrt[(#+1)]+1]]&]

CROSSREFS

Cf. A000466, A037074.

Sequence in context: A104403 A135444 A087886 this_sequence A048354 A046181 A120053

Adjacent sequences: A123751 A123752 A123753 this_sequence A123755 A123756 A123757

KEYWORD

nonn

AUTHOR

Roger Bagula (rlbagulatftn(AT)yahoo.com), Nov 16 2006

EXTENSIONS

Edited by njas, Aug 03 2007

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.


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