A053686 Record gaps between consecutive primes that repeat at least once before a new record occurs.

2, 4, 6, 14, 34, 36, 52, 86, 132, 154, 250, 336

Offset

1,1

Comments

Scan the sequence of prime differences (A001223) looking for new records, but append the record difference to the present sequence only if the difference appears at least twice in A001223 before it is beaten by a new record. - N. J. A. Sloane, Dec 30 2007

The sequence of primes where these gaps first appear is A133788.

These are the numbers that appear two or more times in A085237. - David W. Wilson, Dec 31 2007

Links

Table of n, a(n) for n=1..12.

Jens Kruse Andersen, Maximal gaps

Crossrefs

Cf. A001223, A053695, A133788, A085237, A002386.

Sequence in context: A181528 A251393 A058059 * A080198 A077637 A077639

Adjacent sequences: A053683 A053684 A053685 * A053687 A053688 A053689

Keyword

more,nonn

Author

Jeff Burch, Mar 23 2000

Extensions

More terms from Naohiro Nomoto, Jul 23 2001

Corrected by Jorge Coveiro, Jul 24 2006

More terms from Sam Handler (sam_5_5_5_0(AT)yahoo.com), Sep 13 2006

There were still two erroneous terms. The terms a(1) - a(11) now shown have been verified by Farideh Firoozbakht, Dec 31 2007. Edited by N. J. A. Sloane, Jan 30 2008.

a(12) from Donovan Johnson, Nov 24 2008

Status

approved