login
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
OFFSET
1,1
COMMENTS
See A352240.
FORMULA
a(n) = A352240(n) - A352443(n).
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.
KEYWORD
nonn
AUTHOR
Wesley Ivan Hurt, Mar 16 2022
STATUS
approved