%I #22 Oct 28 2021 13:06:09

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

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

%C 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.

%C 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

%H Thomas R. Nicely, <a href="https://faculty.lynchburg.edu/~nicely/gaps/gaplist.html">First occurrence prime gaps</a> [For local copy see A000101]

%Y Essentially equivalent to A179985.

%K nonn

%O 1,2

%A _Peter J. C. Moses_, Jan 05 2013

%E Definition corrected by _Giovanni Resta_, Jan 05 2013