OFFSET
1,1
COMMENTS
Prime quintuplets (p, p+4, p+6, p+10, p+12) are one of the two types of densest permissible constellations of 5 primes. Maximal gaps between quintuplets of this type are listed in A201062; see more comments there.
LINKS
Alexei Kourbatov, Table of n, a(n) for n = 1..71
Tony Forbes, Prime k-tuplets
Alexei Kourbatov, Maximal gaps between prime 5-tuples
Alexei Kourbatov, Tables of record gaps between prime constellations, arXiv preprint arXiv:1309.4053, 2013.
Eric W. Weisstein, k-Tuple Conjecture
EXAMPLE
The gap of 90 between quintuplets starting at p=7 and p=97 is the very first gap, so a(1)=97. The gap of 1770 between quintuplets starting at p=97 and p=1867 is a maximal (record) gap - larger than any preceding gap; therefore a(2)=1867. The gap after p=1867 is smaller, so a new term is not added.
CROSSREFS
KEYWORD
nonn
AUTHOR
Alexei Kourbatov, Dec 09 2013
STATUS
approved