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A352445
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Smallest prime "p" 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.
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4
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3, 3, 5, 3, 5, 7, 3, 5, 11, 3, 5, 7, 13, 3, 5, 11, 3, 5, 23, 11, 7, 13, 31, 19, 3, 5, 31, 3, 5, 7, 13, 19, 47, 7, 61, 3, 5, 11, 3, 5, 23, 11, 17, 7, 13, 3, 5, 31, 53, 11, 31, 3, 5, 3, 5, 11, 17, 61, 47, 29, 61, 47, 29, 73, 3, 5, 73, 7, 3, 5, 11, 83, 17, 23, 37, 29, 3, 5, 23
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OFFSET
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1,1
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LINKS
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FORMULA
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EXAMPLE
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a(12) = 7; 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 smallest prime "p" among all Goldbach pairs is 7.
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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