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A165298 Numbers k with property that 14*k is a sum of two consecutive primes. 1
3, 6, 8, 15, 22, 31, 33, 38, 45, 57, 60, 63, 66, 69, 76, 80, 82, 102, 123, 126, 132, 140, 141, 142, 148, 150, 154, 156, 158, 159, 160, 168, 170, 171, 183, 186, 192, 204, 207, 208, 213, 215, 225, 232, 245, 246, 250, 255, 258, 261, 267, 272, 276, 285, 294, 303 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Minimal difference d=p2-p1 is 2 while d may be arbitrarily large.

For n<10^7 largest d is for n=2435971:

14*n=34103594,p1=17051707,p2=17051887,d=p2-p1=180.

Numbers k such that 7*k is in A145025. - Robert Israel, Jun 17 2019

LINKS

Robert Israel, Table of n, a(n) for n = 1..10000

EXAMPLE

3*14=42=19+23,d=4; 6*14=84=41+43,d=2; 8*14=112=53+59,d=6.

MAPLE

filter:= proc(n) local t;

  nextprime(7*n)+prevprime(7*n)=14*n;

end proc:

select(filter, [$1..1000]); # Robert Israel, Jun 17 2019

CROSSREFS

Cf. A45025.

Sequence in context: A246141 A051212 A143869 * A117148 A305595 A320687

Adjacent sequences:  A165295 A165296 A165297 * A165299 A165300 A165301

KEYWORD

nonn

AUTHOR

Zak Seidov, Sep 14 2009

STATUS

approved

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Last modified April 11 02:27 EDT 2021. Contains 342886 sequences. (Running on oeis4.)