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A141341 Totally Goldbach numbers: Positive integers n such that for all primes p < n-1 with p not dividing n, n-p is prime. 3
1, 2, 3, 4, 5, 6, 8, 10, 12, 18, 24, 30 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
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".
LINKS
J-M. Deshouillers, A. Granville, W. Narkiewicz and C. Pomerance, An upper bound in Goldbach's problem, Math. Comp. 61 (1993), 209-213.
David van Golstein Brouwers, John Bamberg and Grant Cairns, Totally Goldbach numbers and related conjectures, The Australian Mathematical Society, Gazette, Volume 31 Number 4, September 2004.
CROSSREFS
Sequence in context: A095381 A233205 A158292 * A238110 A211385 A116910
KEYWORD
fini,full,nonn
AUTHOR
Rick L. Shepherd, Jun 25 2008
STATUS
approved

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Last modified March 28 20:05 EDT 2024. Contains 371254 sequences. (Running on oeis4.)