A352283 Smallest nonnegative even integer with exactly n pairs of Goldbach partitions, (p,q) and (r,s) with p,q,r,s prime and p < r <= s < q, such that all integers in the open intervals (p,r) and (s,q) are composite.

0, 10, 24, 48, 60, 126, 90, 114, 120, 594, 240, 462, 300, 390, 210, 330, 510

Offset

0,2

Links

Table of n, a(n) for n=0..16.

Eric Weisstein's World of Mathematics, Goldbach Partition

Wikipedia, Goldbach's conjecture

Index entries for sequences related to Goldbach conjecture

Index entries for sequences related to partitions

Example

a(4) = 60 is the smallest nonnegative even integer with exactly 4 pairs of Goldbach partitions (13,47),(17,43); (17,43),(19,41); (19,41),(23,37); and (23,37),(29,31) with all integers composite in the open intervals: (13,17) and (43,47), (17,19) and (41,43), (19,23) and (37,41), (23,29) and (31,37) respectively.

Crossrefs

Cf. A187797, A278700, A352240, A352248.

Sequence in context: A162817 A103573 A067728 * A058504 A250798 A250576

Adjacent sequences: A352280 A352281 A352282 * A352284 A352285 A352286

Keyword

nonn,more

Author

Wesley Ivan Hurt, Mar 10 2022

Status

approved