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A096099 a(0) = 1, a(n) = least number such that n-th partial concatenation is == 0 (mod prime(n)). 0
1, 2, 3, 5, 5, 2, 13, 25, 8, 22, 16, 26, 35, 35, 11, 26, 48, 58, 6, 46, 4, 77, 83, 29, 33, 187, 61, 78, 81, 23, 183, 15, 22, 68, 8, 137, 84, 178, 99, 7, 71, 82, 142, 241, 133, 71, 56, 19, 32, 318, 157, 199, 303, 16, 201, 201, 213, 257, 355, 229, 365, 379, 345, 27, 52, 19, 272 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

COMMENTS

Subsidiary sequence: n such that a(n) > prime(n). a(7) = 25 > prime(7) = 17. 7,...

EXAMPLE

a(7) = 25 as concatenation a(1),a(2)...a(6),a(7)= 1235521325==0 mod 17, prime(7) = 17.

MATHEMATICA

s = "1"; Print[s]; Do[k = 1; While[Mod[ToExpression[s <> ToString[k]], Prime[n]] != 0, k++ ]; Print[k]; s = s <> ToString[k], {n, 1, 100}] (Propper)

CROSSREFS

Cf. A073893.

Sequence in context: A118141 A175210 A082876 * A019780 A133293 A096289

Adjacent sequences:  A096096 A096097 A096098 * A096100 A096101 A096102

KEYWORD

base,nonn

AUTHOR

Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Jun 24 2004

EXTENSIONS

More terms from Ryan Propper (rpropper(AT)stanford.edu), Sep 03 2005

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Last modified February 15 15:20 EST 2012. Contains 205823 sequences.