A224522 Least prime which is followed by a gap of 30n.

4297, 43331, 404851, 1895359, 13626257, 17051707, 20831323, 391995431, 1391048047, 4758958741, 6291356009, 20068818197, 53241805651, 82490815123, 63816175447, 482423533897, 2209016910131, 738832927927, 4442109925217, 4872634110067, 12644461143649, 10653514291843, 15712145060693, 111113196467011

Offset: 1

Author

M. F. Hasler, Apr 09 2013

Keywords

• nonn
• hard

Comments

Data up to 2e9 computed independently and (up to 391995431) double-checked with A140791. Data beyond 2e9 taken from Nicely's web page (which would yield further terms, at least up to a(47) - notice that the "?" in column 10, e.g. for gap 1440, indicates that the listed values is the first *known*, but maybe not the first occurrence). See there for credits.

Links

• Thomas R. Nicely, First occurrence prime gaps [For local copy see A000101]
• Index entries for primes, gaps between.

Programs

PARI

o=2;g=30;forprime(p=3,,(o+g != o=p) & next; print1(p-g",");g+=30) \\ Warning: this code assumes that the sequence is increasing, which may not be the case. - M. F. Hasler, Apr 09 2013

Formula

a(n) = A000230(15n) = A058193(5n) = A140791(3n)