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

1,1

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

Table of n, a(n) for n=1..24.

Thomas R. Nicely, First occurrence prime gaps [For local copy see A000101]

Index entries for primes, gaps between.

Formula

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

Prog

(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

Crossrefs

Sequence in context: A271104 A234164 A124596 * A210263 A165067 A236881

Adjacent sequences: A224519 A224520 A224521 * A224523 A224524 A224525

Keyword

nonn,hard

Author

M. F. Hasler, Apr 09 2013

Status

approved