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A228610
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Numbers k such that the largest consecutive pair of prime(k)-smooth integers is the same as the largest consecutive pair of prime(k-1)-smooth integers.
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1
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OFFSET
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1,1
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COMMENTS
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For each such k = a(n), the smallest superparticular ratio R = m/(m-1) such that R factors into primes less than or equal to prime(k) have all of these prime factors strictly less than prime(k).
k = a(n) here are the values of k that make a(k) = a(k-1) in A002072 and also in A117581.
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LINKS
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EXAMPLE
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For n = 1, k = a(1) = 9 gives prime(k) = 23 such that the largest consecutive pair of 23-smooth integers, (11859210,11859211), is the same as the largest consecutive pair of prime(k-1)-smooth integers (19-smooth integers).
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CROSSREFS
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KEYWORD
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nonn,more,hard
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AUTHOR
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STATUS
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approved
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