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A352297
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
10, 16, 18, 22, 34, 42, 46, 64, 82, 96, 98, 110, 136, 140, 154, 160, 188, 190, 194, 218, 224, 230, 236, 244, 256, 274, 280, 308, 314, 338, 340, 350, 368, 370, 382, 388, 394, 398, 400, 404, 422, 428, 440, 446, 452, 466, 470, 488, 494, 500, 512, 514, 524, 536, 574, 578, 580, 586
OFFSET
1,1
FORMULA
a(n) = A352351(n) + A352352(n) = A352353(n) + A352354(n).
EXAMPLE
82 is in the sequence since it 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.
CROSSREFS
Cf. See A352351, A352352, A352353, and A352354 for values of the corresponding primes p, q, r, and s.
Sequence in context: A323196 A352240 A187797 * A192221 A106695 A053747
KEYWORD
nonn
AUTHOR
Wesley Ivan Hurt, Mar 11 2022
STATUS
approved