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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
1, 2, 4, 6, 8, 12, 32, 36, 150
OFFSET
1,2
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.
Sequence in context: A063008 A303555 A136101 * A086141 A067883 A325557
KEYWORD
nonn
AUTHOR
Peter J. C. Moses, Jan 05 2013
EXTENSIONS
Definition corrected by Giovanni Resta, Jan 05 2013
STATUS
approved