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A107257
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Smallest prime p such that for each j <= n there are primes a < b <= p whose difference b - a is 2*j.
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0
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5, 7, 11, 11, 13, 17, 17, 19, 23, 23, 29, 29, 29, 31, 37, 37, 37, 41, 41, 43, 47, 47, 53, 53, 53, 59, 59, 59, 61, 67, 67, 67, 71, 71, 73, 79, 79, 79, 83, 83, 89, 89, 89, 101, 101, 101, 101, 101, 101, 103, 107, 107, 109, 113, 113, 131, 131, 131, 131, 131, 131, 131, 131
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OFFSET
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1,1
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COMMENTS
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Every positive even number <= 2*n is the difference of two suitable primes <= a(n).
Sequence is nondecreasing, whereas the related sequence A020484 is not; first divergence is at 45: a(45) = 101, A020484(45) = 97.
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LINKS
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EXAMPLE
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Consider n = 45: 89, 97, 101 are consecutive primes, 2*45 = 97 - 7, but 2*44 = 101 - 13 cannot be written as b - a where a and b are primes <=97, hence a(45) = 101.
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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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