|
|
A352442
|
|
Largest prime "r" among all pairs of Goldbach partitions of A352240(n), (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.
|
|
4
|
|
|
5, 5, 7, 5, 11, 13, 5, 17, 13, 5, 19, 17, 29, 5, 23, 31, 29, 19, 29, 41, 37, 17, 37, 43, 53, 41, 37, 29, 53, 59, 53, 61, 53, 41, 67, 59, 47, 71, 5, 47, 29, 79, 71, 73, 83, 53, 83, 37, 59, 83, 37, 29, 71, 29, 101, 103, 107, 67, 89, 73, 67, 59, 101, 79, 59, 107, 79, 113, 5, 109
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
COMMENTS
|
|
|
LINKS
|
|
|
FORMULA
|
|
|
EXAMPLE
|
a(12) = 17; A352240(12) = 54 has 3 pairs of Goldbach partitions (7,47),(11,43); (11,43),(13,41); and (13,41),(17,37); with all integers composite in the open intervals (7,11) and (43,47), (11,13) and (41,43), and, (13,17) and (37,41) respectively. The largest prime "r" among the Goldbach pairs is 17.
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|