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A101754
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Numbers n such that the sum of the first n decimal places of Catalan's constant is prime.
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0
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9, 11, 14, 22, 23, 25, 31, 32, 39, 45, 46, 55, 56, 57, 63, 64, 68, 73, 78, 81, 84, 90, 94, 112, 115, 117, 162, 163, 169, 172, 179, 184, 200, 208, 212, 221, 227, 233, 240, 253, 270, 272, 283, 290, 303, 327, 329, 339, 345, 347, 348, 365, 378, 381, 396, 398, 409
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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EXAMPLE
| The sums of the first n decimal places of Catalan's constant are listed in A099616: 9, 10, 15, 24, 30, 35, 40, 49, 53, 54, 61, ... Of these, the first one that is prime is 53 which is the 9th term. The first term in our sequence is therefore 9. The partial sum 61 is also prime and this appears in the 11th place, so the second term of our sequence is 11.
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MATHEMATICA
| Flatten[Position[Accumulate[RealDigits[N[Catalan, 500]][[1]]], _?PrimeQ]] (* From Harvey P. Dale, May 10 2011 *)
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CROSSREFS
| Cf. A099616.
Sequence in context: A027726 A044873 A183980 * A113339 A037009 A163096
Adjacent sequences: A101751 A101752 A101753 * A101755 A101756 A101757
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KEYWORD
| nonn,base
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AUTHOR
| Mark Hudson (mrmarkhudson(AT)hotmail.com), Dec 15 2004
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