A201252 Initial primes in prime septuplets (p, p+2, p+8, p+12, p+14, p+18, p+20) preceding the maximal gaps in A201251.

5639, 88799, 284729, 1146779, 8573429, 24001709, 43534019, 87988709, 157131419, 522911099, 706620359, 1590008669, 2346221399, 3357195209, 11768282159, 30717348029, 33788417009, 62923039169, 68673910169, 88850237459, 163288980299, 196782371699, 421204876439

Offset

1,1

Comments

Prime septuplets (p, p+2, p+8, p+12, p+14, p+18, p+20) are one of the two types of densest permissible constellations of 7 primes. Maximal gaps between septuplets of this type are listed in A201251; see more comments there. A233038 lists the corresponding primes at the end of the maximal gaps.

Links

Alexei Kourbatov, Table of n, a(n) for n = 1..52

Tony Forbes, 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.

Eric W. Weisstein, k-Tuple Conjecture

Example

The gap of 83160 between septuplets starting at p=5639 and p=88799 is the very first gap, so a(1)=5639. The gap of 195930 between septuplets starting at p=88799 and p=284729 is a maximal gap - larger than any preceding gap; therefore a(2)=88799. The next gap starts at p=284729 and is again a maximal gap, so a(3)=284729. The next gap is smaller, so it does not contribute to the sequence.

Crossrefs

Cf. A022010 (prime septuplets p, p+2, p+8, p+12, p+14, p+18, p+20), A201251, A233038.

Sequence in context: A229591 A161193 A022010 * A247402 A339961 A332738

Adjacent sequences: A201249 A201250 A201251 * A201253 A201254 A201255

Keyword

nonn,hard

Author

Alexei Kourbatov, Nov 28 2011

Status

approved