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A252796
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Smallest of n consecutive integers whose product is divisible by at least n distinct prime factors.
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2
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2, 2, 3, 4, 7, 9, 11, 16, 26, 29, 29, 36, 50, 56, 57, 79, 79, 101, 106, 145, 166, 172, 172, 196, 199, 211, 211, 257, 290, 386, 393, 393, 401, 421, 514, 514, 530, 652, 757, 757, 757, 761, 761, 761, 785, 785, 785, 1135, 1225, 1236, 1236, 1373, 1381, 1381, 1601
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OFFSET
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1,1
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COMMENTS
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LINKS
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EXAMPLE
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a(5) = 7, since the product of the 5 consecutive integers 7..11 is divisible by 5 distinct prime factors, and no smaller set of 5 such consecutive integers exists.
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MATHEMATICA
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a252796[n_] := Block[{k},
Table[k = 1; While[i != PrimeNu[Times @@ Range[k, k + i - 1]], k++];
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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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