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A160500
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Prime p1 of consecutive primes p1, p2, where p2-p1=10, and p1, p2 are in different centuries.
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6
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691, 1399, 1699, 5791, 6091, 6691, 6793, 7297, 8599, 10993, 12391, 12799, 13999, 14197, 14293, 15091, 15391, 15991, 17599, 18493, 18691, 19699, 22699, 22993, 23899, 24499, 24799, 25693, 26893, 27397, 28099, 28297, 28393, 29191, 33493
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OFFSET
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1,1
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COMMENTS
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The sequence is probably infinite.
It appears that every integer occurs as the difference round((a(n+1)-a(n))/100); all numbers 1..228 occur as these differences for a(n) < 1000000000. - Hartmut F. W. Hoft, May 18 2017
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LINKS
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EXAMPLE
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Consecutive primes 10993 and 11003 differ by 10 and are in consecutive centuries, so 10993 is in the sequence.
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MATHEMATICA
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a160500[n_] := Map[Last, Select[Map[{NextPrime[#, 1], NextPrime[#, -1]}&, Range[100, n, 100]], First[#]-Last[#]==10&]]
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CROSSREFS
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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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