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

1,1

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. A145025.

Sequence in context: A246141 A051212 A143869 * A352507 A117148 A343272

Adjacent sequences: A165295 A165296 A165297 * A165299 A165300 A165301

Keyword

nonn

Author

Zak Seidov, Sep 14 2009

Status

approved