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Search: id:A118859
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A118859 Numbers n such that n-1, n+1, 2n-1, 2n+1, 3n-1 and 3n+1 are primes. +0
2
6, 53550, 420420, 422310, 1624350, 2130240, 3399900, 5199810, 5246010, 6549270, 7384440, 7775880, 9516570, 9565710, 10430280, 11845260, 13207950, 14562870, 14619990, 18747960, 20099940, 21596820, 21968100, 24358950, 24610740 (list; graph; listen)
OFFSET

1,1

EXAMPLE

6 is there because 5, 7, 11, 13, 17, 19 are all prime.

MATHEMATICA

tb={{0}}; Do[s1=n; s2=2*n; s3=3*n; If[(PrimeQ[n-1]&&PrimeQ[n+1])&&(PrimeQ[2*n-1]&& PrimeQ[2*n+1])&&(PrimeQ[3*n-1]&&PrimeQ[3*n+1]), Print[{s1, s2, s3}]; tb=Append[tb, n]], {n, 1, 100000000}]; tb=Delete[tb, 1]

CROSSREFS

Cf. A066388, A118860.

Sequence in context: A134728 A127488 A013838 this_sequence A076913 A101450 A101439

Adjacent sequences: A118856 A118857 A118858 this_sequence A118860 A118861 A118862

KEYWORD

nonn

AUTHOR

Labos E. (labos(AT)ana1.sote.hu), May 03 2006

EXTENSIONS

Edited by Don Reble (djr(AT)nk.ca), May 16 2006

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Last modified December 9 18:50 EST 2009. Contains 170568 sequences.


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