A323558 Numbers k such that n^2 + n + k has no prime factor p <= 41 for any integer n.

19421, 27941, 55661, 72491, 237761, 333491, 514037, 546587, 553997, 601037, 619517, 635807, 685667, 712421, 843497, 849701, 871457, 916031, 994907, 1024691, 1049297, 1084607, 1084997, 1103777, 1165181, 1196927, 1211291, 1240697, 1262201, 1292231, 1342037, 1376591, 1384907, 1438751, 1454897, 1462577, 1488647

Offset

1,1

Comments

Observation: The terms tend to be primes but are not by any means all primes.

If k is a term, then k + A002110(13) = k + 304250263527210 is also a term.

It appears this sequence includes about 1/2918.52 of the positive integers.

Links

Table of n, a(n) for n=1..37.

Crossrefs

Sequence in context: A031831 A252901 A126721 * A321642 A204592 A140930

Adjacent sequences: A323555 A323556 A323557 * A323559 A323560 A323561

Keyword

nonn

Author

Jason Atwood, Jan 17 2019

Status

approved