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A052352
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First primes of A031924 (lesser of 6-twins) with increasing distance to the next 6-twin.
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0
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47, 23, 73, 61, 353, 31, 233, 131, 331, 653, 2441, 3733, 1033, 4871, 1063, 1621, 503, 607, 4211, 7823, 2287, 83, 383, 1231, 2903, 5981, 1123, 173, 11981, 11833, 1367, 2063, 4723, 19681, 2207, 2131, 2713, 9533, 6571, 1657, 23081, 15913, 7013, 14051
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OFFSET
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1,1
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COMMENTS
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The increment of distance of 6-twins (A053321) is 2 (not 6), the smallest distance (A052380) is 6.
The middle gap 2n-2 may include primes, e.g., n=10, a(10)=653 and between 659 and 659 + 2*10 - 2 = 677, two primes occur.
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LINKS
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FORMULA
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a(n) = p yields a prime quadruple [p, p+6, p+2n+4, p+2n+4+6] with difference pattern [6, 2n-2, 6].
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EXAMPLE
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For n=1,2,3 the quadruples are [47,53,53,59] (a triple), [23,29,31,37], [73,79,83,89] with 53 - 47 = 6, 31 - 23 = 8 and 83 - 73 = 10 twin distances.
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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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