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A075022
a(1) = 1; for n>1, a(n) = the largest prime divisor of the number C(n) formed from the concatenation of 1,2,3,... up to n.
10
1, 3, 41, 617, 823, 643, 9721, 14593, 3803, 1234567891, 630803, 2110805449, 869211457, 205761315168520219, 8230452606740808761, 1231026625769, 584538396786764503, 801309546900123763, 833929457045867563
OFFSET
1,2
LINKS
N. J. A. Sloane, Table of n, a(n) for n = 1..56 [First 50 terms from Zak Seidov]
EXAMPLE
a(4) = 617 since 1234 = 2*617.
MATHEMATICA
a = {}; b = {}; Do[w = RealDigits[n]; w = First[w]; Do[AppendTo[a, w[[k]]], {k, 1, Length[w]}]; p = FromDigits[a]; AppendTo[b, First[Last[FactorInteger[p]]]], {n, 1, 25}]; b (* Artur Jasinski, Apr 04 2008 *)
Table[FactorInteger[FromDigits[Flatten[IntegerDigits/@Range[n]]]][[-1, 1]], {n, 20}] (* Harvey P. Dale, Aug 31 2015 *)
KEYWORD
base,nonn
AUTHOR
Amarnath Murthy, Sep 01 2002
EXTENSIONS
More terms from Sascha Kurz, Jan 03 2003
STATUS
approved