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
Examples
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.
Links
- 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