A187779 Numbers n for which the terms of A014320 up to n=A014320(k) are a permutation of {1,2,4,6,...,2*(k-1)}.

1, 2, 4, 6, 8, 12, 32, 36, 150

Offset: 1

Author

Peter J. C. Moses, Jan 05 2013

Keywords

• nonn

Comments

An old conjecture states that the equation prime(n+1)-prime(n)=2m is solvable for m=1/2,1,2,... . a(n) indicate the smallest term of A014320 such that among the previous terms there occur 1 and all previous even numbers<=a(n). The primes up to 10^8 do not generate any further terms.

According to Thomas R. Nicely (see Links) the next term, if it exists, must be greater than 1344 and equal to a gap occurring between primes greater than 4*10^18. - Giovanni Resta, Jan 06 2013

Links

• Thomas R. Nicely, First occurrence prime gaps [For local copy see A000101]

Crossrefs

Essentially equivalent to A179985.

Extensions

Definition corrected by Giovanni Resta, Jan 05 2013