OFFSET
1,1
COMMENTS
Prime sextuplets (p, p+4, p+6, p+10, p+12, p+16) are densest permissible constellations of 6 primes. Maximal (record) gaps between prime sextuplets are listed in A200503; see further comments there.
LINKS
Alexei Kourbatov, Table of n, a(n) for n = 1..56
Tony Forbes and Norman Luhn, Prime k-tuplets
Alexei Kourbatov, Maximal gaps between prime k-tuples
Alexei Kourbatov, Tables of record gaps between prime constellations, arXiv preprint arXiv:1309.4053, 2013.
Norman Luhn, Record Gaps Between Prime Sextuplets
Eric W. Weisstein, k-Tuple Conjecture
FORMULA
EXAMPLE
Two smallest prime sextuplets (p, p+4, p+6, p+10, p+12, p+16) start at p=7 and p=97; so a[1]=97. The gap of 15960 between sextuplets starting at p=97 and p=16057 is a record gap - larger than any preceding gap; so a[2]=16057. The next gap is not a record, so a new term is not added.
CROSSREFS
KEYWORD
nonn
AUTHOR
Alexei Kourbatov, Dec 09 2013
STATUS
approved