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A101754 Numbers n such that the sum of the first n decimal places of Catalan's constant is prime. +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; listen)
OFFSET

1,1

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.

CROSSREFS

Cf. A099616.

Sequence in context: A117675 A027726 A044873 this_sequence A113339 A037009 A163096

Adjacent sequences: A101751 A101752 A101753 this_sequence A101755 A101756 A101757

KEYWORD

nonn,base

AUTHOR

Mark Hudson (mrmarkhudson(AT)hotmail.com), Dec 15 2004

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Last modified December 16 17:18 EST 2009. Contains 170825 sequences.


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