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A108110 Numbers n such that prime[k]*n+prime[k+1], for k=1,...,6 all are primes. 0
284, 3074, 3494, 21698, 32138, 43874, 51794, 60674, 75494, 407348, 437438, 459794, 571478, 660878, 667358, 705464, 716624, 740774, 811028, 820154, 910664 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..21.

EXAMPLE

284 is OK because 2*284+3, 3*284+5, 5*284+7, 7*284+11, 11*284+13 and 13*284+17 all are primes.

MATHEMATICA

s={}; Do[If[Union[PrimeQ/@Table[Prime[k]*n+Prime[k+1], {k, 6}]]=={True}, s=Append[s, n]], {n, 2, 1000000, 2}]; s

CROSSREFS

Sequence in context: A343917 A143191 A180220 * A218400 A196893 A280808

Adjacent sequences: A108107 A108108 A108109 * A108111 A108112 A108113

KEYWORD

nonn

AUTHOR

Zak Seidov, Jun 03 2005

STATUS

approved

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Last modified December 7 17:25 EST 2022. Contains 358668 sequences. (Running on oeis4.)