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A352352
Primes "q" 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
7, 13, 13, 19, 31, 31, 43, 61, 59, 83, 67, 79, 89, 79, 151, 137, 157, 137, 163, 157, 163, 157, 163, 241, 173, 271, 257, 277, 163, 277, 257, 277, 337, 239, 359, 257, 263, 337, 269, 373, 223, 277, 379, 373, 379, 463, 439, 337, 337, 439, 439, 263, 373, 379, 571, 547, 449, 563, 439, 439
OFFSET
1,1
COMMENTS
See A352297.
FORMULA
a(n) = A352297(n) - A352351(n).
EXAMPLE
a(9) = 59; 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 "q" in the definition is 59.
CROSSREFS
Cf. A352351 (for primes "p"), A352353 (for primes "r"), A352354 (for primes "s").
Sequence in context: A372083 A352444 A145009 * A090229 A259222 A204713
KEYWORD
nonn
AUTHOR
Wesley Ivan Hurt, Mar 12 2022
STATUS
approved