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Search: id:A102647
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| A102647 |
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a(n) = product of the remainders when the n-th prime is divided by primes up to the (n-1)-st prime. |
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+0
1
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| 0, 1, 2, 2, 8, 36, 288, 1920, 2880, 120960, 362880, 6386688, 34836480, 217728000, 3881779200, 275904921600, 1785411403776, 28217548800000, 608662978560000, 3492203839488000, 964122158039040000, 2224367550332928000
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OFFSET
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1,3
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EXAMPLE
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Prime(6) = 13, 13 mod 2 = 1, 13 mod 3 = 1, 13 mod 5 = 3, 13 mod 7 = 6, 13 mod 11 = 2 so a(6) = 1*1*3*6*2 = 36.
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MATHEMATICA
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f[n_] := Times @@ Mod[ Prime[n], Table[ Prime[i], {i, n - 1}]]; Table[ f[n], {n, 22}] (from Robert G. Wilson v Feb 04 2005)
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CROSSREFS
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Cf. A033955.
Sequence in context: A057132 A121197 A009543 this_sequence A060224 A111605 A009544
Adjacent sequences: A102644 A102645 A102646 this_sequence A102648 A102649 A102650
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KEYWORD
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nonn
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AUTHOR
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Hans Boelens (h.p.m.boelens(AT)pl.hanze.nl), Feb 02 2005
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EXTENSIONS
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More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Feb 04 2005
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