login
Record gaps between consecutive primes that repeat at least once before a new record occurs.
4

%I #21 Jan 21 2019 19:01:55

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

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

%C 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

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

%C These are the numbers that appear two or more times in A085237. - _David W. Wilson_, Dec 31 2007

%H Jens Kruse Andersen, <a href="http://primerecords.dk/primegaps/maximal.htm">Maximal gaps</a>

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

%K more,nonn

%O 1,1

%A _Jeff Burch_, Mar 23 2000

%E More terms from _Naohiro Nomoto_, Jul 23 2001

%E Corrected by _Jorge Coveiro_, Jul 24 2006

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

%E 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.

%E a(12) from _Donovan Johnson_, Nov 24 2008