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A352351
Primes "p" 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
3, 3, 5, 3, 3, 11, 3, 3, 23, 13, 31, 31, 47, 61, 3, 23, 31, 53, 31, 61, 61, 73, 73, 3, 83, 3, 23, 31, 151, 61, 83, 73, 31, 131, 23, 131, 131, 61, 131, 31, 199, 151, 61, 73, 73, 3, 31, 151, 157, 61, 73, 251, 151, 157, 3, 31, 131, 23, 151, 157
OFFSET
1,1
COMMENTS
See A352297.
FORMULA
a(n) = A352297(n) - A352352(n).
EXAMPLE
a(9) = 23; 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 "p" in the definition is 23.
CROSSREFS
Cf. A352352 (for primes "q"), A352353 (for primes "r"), A352354 (for primes "s").
Sequence in context: A162277 A365512 A060397 * A359421 A014780 A216199
KEYWORD
nonn
AUTHOR
Wesley Ivan Hurt, Mar 12 2022
STATUS
approved