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Search: id:A114025
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| A114025 |
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Least prime such that the n-th partial concatenation is a multiple of the n-th prime. |
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+0
4
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| 2, 7, 5, 17, 71, 23, 2, 53, 151, 191, 181, 61, 47, 61, 163, 373, 23, 29, 179, 167, 353, 691, 37, 7, 79, 43, 7, 73, 683, 757, 1259, 433, 113, 1523, 643, 19, 73, 383, 1907, 89, 2423, 457, 223, 2713, 71, 3253, 191, 17, 1069, 353, 1481, 1433, 787, 1009, 1753, 557, 3001
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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In the first 750 terms, the primes 3,11,41,59,83,97,101,109,131,149,157,173,193,197,211,227, ..., have not appeared. - Robert G. Wilson v.
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EXAMPLE
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2 divides 2, 3 divides 27, 5 divides 275.
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MATHEMATICA
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a[n_] := a[n] = Block[{q = Flatten[IntegerDigits /@ Table[a[i], {i, n - 1}]], p = Prime[n], k = 1}, While[Mod[FromDigits@Join[q, IntegerDigits@Prime@k], p] != 0, k++ ]; Prime[k]]; Array[a, 57] (* Robert G. Wilson v *)
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CROSSREFS
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See A133566 for another version.
Cf. A100759, A095242, A114026.
Sequence in context: A038004 A100792 A096037 this_sequence A135566 A100759 A094360
Adjacent sequences: A114022 A114023 A114024 this_sequence A114026 A114027 A114028
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KEYWORD
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base,nonn
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Nov 13 2005
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EXTENSIONS
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More terms from Robert G. Wilson v (rgwv(at)rgwv.com), Nov 19 2005
Definition corrected by David Wasserman (dwasserm(AT)earthlink.net), Mar 04 2008
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