A214450 Smallest prime p such that n primes exist between the prime triple (p, p+2, p+6) and the next prime triple.

5, 857, 311, 17, 31391, 3461, 1427, 12917, 1997, 4517, 41, 20747, 107, 1871, 1487, 4637, 2081, 347, 7877, 23057, 80777, 1091, 18041, 641, 461, 5231, 21017, 881, 4967, 45821, 1607, 15731, 165311, 17027, 35591, 26261, 11777, 8537, 64151, 101111, 82757, 23741

Offset

0,1

Links

Table of n, a(n) for n=0..41.

Example

a(3)= 17 because there exists 3 primes 29, 31 and 37 are between (17, 19,23) and (41,43,47).

Maple

A214450 := proc(n)
local j, hi, lo ;
if n = 0 then
3;
else
for j from 1 do
hi := numtheory[pi]( A022004 (j+1)) ;
lo := numtheory[pi]( A098412 (j)) ;
if hi-lo = n+1 then
return A022004 (j);
end if;
end do:
end if;
end proc: # [Program from R. J. Mathar, adapted for this sequence (see A089637)].

Crossrefs

Cf. A022004, A098412, A089637.

Sequence in context: A300038 A060713 A198402 * A332185 A085706 A190350

Adjacent sequences: A214447 A214448 A214449 * A214451 A214452 A214453

Keyword

nonn

Author

Michel Lagneau, Jul 18 2012

Status

approved