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A111871
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Prime gaps q-p with n-th record merit referred to in A111870.
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16
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1, 2, 4, 14, 22, 34, 52, 72, 86, 96, 112, 132, 148, 180, 210, 248, 282, 320, 336, 354, 382, 456, 514, 532, 582, 588, 602, 652, 716, 766, 906, 1132, 1328, 1356, 1370, 1442, 1476
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OFFSET
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1,2
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COMMENTS
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The prime gaps q-p (corresponding to a(n)=p in A111870) have increasing record merit (q-p)/log(p). However, the prime gaps themselves are almost always monotonically increasing (with very high probability), but not always! And we do have an exception in the list above: a(14)=148 < a(13)=154! (But see next comment!)
Because the erroneous A111870(13) = 4652353 term was removed, a(13) = 154 was removed. This sequence is therefore monotonically increasing. - John W. Nicholson, Nov 18 2013
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REFERENCES
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Ed Pegg, Jr., Posting to Seq Fan mailing list, Nov 23, 2005
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LINKS
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FORMULA
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EXAMPLE
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A111870(4) = 113 and the next larger prime is 127, so 127 - A111870(4) = a(4) = 14.
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CROSSREFS
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For the primes p corresponding to the prime gaps q-p with n-th record merit, see A111870.
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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