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Search: id:A141341
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| A141341 |
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Totally Goldbach numbers: Positive integers n such that for all primes p < n-1 with p not dividing n, n-p is prime. |
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+0
2
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| 1, 2, 3, 4, 5, 6, 8, 10, 12, 18, 24, 30
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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As Browers et al. point out, A141340 = A141341 union {7,14,16,36,42,48,60,90,210}, A020490 = A141341\{5} and A048597 = A141341\{5,10}. The authors show that the first strategy of Deshouillers et al. to establish a bound (of 10^520) for A141340 is sufficient for then determining the totally Goldbach numbers and "leads us naturally to interesting questions concerning primes in a fixed residue class".
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REFERENCES
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J-M. Deshouillers, A. Granville, W. Narkiewicz and C. Pomerance, An upper bound in Goldbach's problem, Math. Comp. 61 (1993), 209-213.
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LINKS
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David van Golstein Brouwers, John Bamberg and Grant Cairns, Totally Goldbach numbers and related conjectures
Index entries for sequences related to Goldbach conjecture
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CROSSREFS
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Cf. A020490, A048597, A141340.
Sequence in context: A015702 A029747 A095381 this_sequence A116910 A139446 A054961
Adjacent sequences: A141338 A141339 A141340 this_sequence A141342 A141343 A141344
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KEYWORD
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fini,full,nonn
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AUTHOR
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Rick L. Shepherd (rshepherd2(AT)hotmail.com), Jun 25 2008
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