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Search: id:A118860
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A118860 Numbers n such that n-1, n+1, 2n-1, 2n+1, 3n-1, 3n+1, 4n-1 and 4n+1 are primes. +0
2
21968100, 37674210, 81875220, 356467230, 416172330, 750662640, 1007393730, 1150070040, 1586271960, 1963954650, 3127171320, 3669568560, 4377895410, 4383541050, 5575083360, 5686935870, 5708418870, 7365234450, 7478474430 (list; graph; listen)
OFFSET

1,1

EXAMPLE

21968100 is there because 21968099, 21968101, 43936199, 43936201, 65904299, 65904301, 87872399, 87872401 are all prime.

MATHEMATICA

tb={{0}}; If[(PrimeQ[n-1]&&PrimeQ[n+1])&& (PrimeQ[2*n-1]&&PrimeQ[2*n+1])&& (PrimeQ[3*n-1]&&PrimeQ[3*n+1])&& (PrimeQ[4*n-1]&&PrimeQ[4*n+1]), Print[{n, 2*n, 3*n, 4*n}]; tb=Append[tb, n]], {n, 1, 100000000}]; tb=Delete[tb, 1]

CROSSREFS

Cf. A066388, A118859.

Sequence in context: A116497 A133543 A034613 this_sequence A112644 A069317 A022211

Adjacent sequences: A118857 A118858 A118859 this_sequence A118861 A118862 A118863

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 November 18 20:14 EST 2008. Contains 147244 sequences.


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