A165298 Numbers k with property that 14*k is a sum of two consecutive primes.

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

Offset: 1

Author

Zak Seidov, Sep 14 2009

Keywords

• nonn

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

Examples

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

Links

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

Crossrefs

Cf. A145025.

Programs

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