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Search: id:A056127
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| A056127 |
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Minimum m where product_{k=1 to m}[p_k] > (p_{m+1})^n, where p_k is k-th prime. |
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+0
2
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| 1, 2, 4, 5, 7, 8, 10, 11, 13, 14, 15, 16, 18, 19, 20, 21, 23, 24, 25, 26, 28, 29, 30, 32, 33, 34, 35, 36, 38, 39, 40, 41, 43, 44, 45, 46, 48, 49, 50, 51, 52, 53, 55, 56, 57, 58, 59, 60, 62, 63, 64, 65, 67, 68, 69, 70, 72, 73, 74, 75, 76, 78, 79, 80, 81, 82, 83, 85, 86, 87, 88
(list; graph; listen)
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OFFSET
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0,2
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LINKS
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Leroy Quet, Home Page (listed in lieu of email address)
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EXAMPLE
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a(2) = 4, since 2*3*5 < 7^2, but 2*3*5*7 > 11^2. (The product of the first 4 primes is greater than the 5_th prime squared.)
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MATHEMATICA
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a = {}; Do[x = 1; While[Prime[x + 1] >= (Product[Prime[x], {x, 1, x}])^(1/n), x++ ]; AppendTo[a, x], {n, 1, 100}]; a (*Artur Jasinski*)
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CROSSREFS
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Cf. A002110, A060797, A127600, A127601, A127602, A127603, A127604, A127605.
Sequence in context: A155902 A059539 A078934 this_sequence A072633 A037087 A062005
Adjacent sequences: A056124 A056125 A056126 this_sequence A056128 A056129 A056130
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KEYWORD
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nonn
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AUTHOR
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Leroy Quet Aug 30 2000
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