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A352353
Primes "r" corresponding to the even numbers with exactly 1 pair 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.
4
5, 5, 7, 5, 5, 13, 5, 5, 29, 17, 37, 37, 53, 67, 5, 29, 37, 59, 37, 67, 67, 79, 79, 5, 89, 5, 29, 37, 157, 67, 89, 79, 37, 137, 29, 137, 137, 67, 137, 37, 211, 157, 67, 79, 79, 5, 37, 157, 163, 67, 79, 257, 157, 163, 5, 37, 137, 29, 157, 163
OFFSET
1,1
COMMENTS
See A352297.
FORMULA
a(n) = A352297(n) - A352354(n).
EXAMPLE
a(9) = 29; A352297(9) = 82 has exactly one pair of Goldbach partitions, namely (23,59) and (29,53), such that all integers in the open intervals (23,29) and (53,59) are composite. The prime corresponding to "r" in the definition is 29.
CROSSREFS
Cf. A352351 (for primes "p"), A352352 (for primes "q"), A352354 (for primes "s").
Sequence in context: A122273 A052247 A088201 * A195380 A139261 A352442
KEYWORD
nonn
AUTHOR
Wesley Ivan Hurt, Mar 12 2022
STATUS
approved