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A076370
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a(n)=x is the smallest number[=subscript] such that Primorial[x]>Primorial[n]/Primorial[x].
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2
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1, 2, 2, 3, 4, 4, 5, 6, 6, 7, 7, 8, 9, 9, 10, 10, 11, 12, 12, 13, 13, 14, 15, 15, 16, 16, 17, 17, 18, 19, 19, 20, 20, 21, 21, 22, 23, 23, 24, 24, 25, 26, 26, 27, 27, 28, 28, 29, 30, 30, 31, 31, 32, 32, 33, 33, 34, 35, 35, 36, 36, 37, 37, 38, 39, 39, 40, 40, 41, 41, 42, 43, 43, 44
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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EXAMPLE
| n=7: primorial[7]=pr[7]=510510.List of smaller primorials and pr[7]/pr[j] quotients is as follows: {{1,2,255255},{2,6,85085},{3,30,17017},{4,210,2431},{5,2310,221}, {6,30030,17},{7,510510,1}}.Sign of differences:{-1,-1,-1,-1,1,1,1}; Subscripts where q[j]>q[7]/q[j] is {5,6,7}; smallest index where difference is positive =5=a[7].
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MATHEMATICA
| q[x_] := Apply[Times, Table[Prime[j], {j, 1, x}]] Table[Min[Flatten[Position[Table[Sign [q[j]-q[m]/q[j]], {j, 1, m}], 1]]], {m, 1, 250}]
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CROSSREFS
| Cf. A002110.
Sequence in context: A081608 A096532 A077773 * A112318 A078489 A194179
Adjacent sequences: A076367 A076368 A076369 * A076371 A076372 A076373
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KEYWORD
| nonn
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AUTHOR
| Labos E. (labos(AT)ana.sote.hu), Oct 14 2002
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