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A096830
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Number of primes in neighborhood with center=n! and radius=Ceiling[Log[n! ]].
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9
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0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 4, 3, 1, 3, 0, 1, 1, 1, 0, 3, 5, 1, 0, 0, 1, 2, 4, 1, 3, 1, 1, 2, 4, 0, 2, 0, 2, 5, 2, 5, 2, 4, 4, 5, 3, 3, 1, 5, 3, 3, 0, 3, 4, 1, 3, 2, 1, 1, 1, 1, 1, 3, 2, 2, 2, 0, 3, 2, 4, 4, 0, 4, 4, 2, 3, 5, 3, 1, 1, 8, 1, 2, 2, 1, 2, 2, 0, 1, 3, 5, 2, 2, 4, 2, 5, 3, 5, 2, 5, 2, 2, 1, 0, 1, 0
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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FORMULA
| a[n]=A096509[n! ]=A096509[A000142(n)]
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EXAMPLE
| n=8,8!=40320,radius=11,a[8]=0 because no primes in the neighborhood.
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MATHEMATICA
| {ta=Table[0, {1000}], u=1}; Do[s=Count[Table[PrimeQ[n!+i], {i, -Ceiling[Log[n! ]//N], Ceiling[Log[n! ]//N]}], True]; Print[{n, s}]; ta[[u]]=s; u=u+1, {n, 1, 1000}]; ta
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CROSSREFS
| Cf. A096509-A096523, A000142.
Sequence in context: A153240 A153241 A194853 * A141647 A001617 A143667
Adjacent sequences: A096827 A096828 A096829 * A096831 A096832 A096833
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KEYWORD
| nonn
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AUTHOR
| Labos E. (labos(AT)ana.sote.hu), Jul 14 2004
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