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A082417 Numbers n such that P(n) < P(n+1) > P(n+2), where P(n) = largest prime factor of n (A006530). 10

%I

%S 2,4,6,10,12,16,18,22,25,28,30,33,36,40,42,46,48,50,52,54,58,60,64,66,

%T 68,70,72,75,78,82,85,88,93,96,98,100,102,106,108,110,112,115,117,121,

%U 126,128,130,133,136,138,141,145,148,150,154,156,160,162,166,172,178,180,182

%N Numbers n such that P(n) < P(n+1) > P(n+2), where P(n) = largest prime factor of n (A006530).

%D Antal Balog, On the largest prime factor of consecutive integers, Abstracts Amer. Math. Soc., 25 (No. 2, 2002), p. 337, #975-11-76.

%H T. D. Noe, <a href="/A082417/b082417.txt">Table of n, a(n) for n = 1..1000</a>

%H P. Erdős and C. Pomerance, <a href="http://www.math.dartmouth.edu/~carlp/PDF/paper17.pdf">On the largest prime factors of n and n+1</a>, Aequationes Math. 17 (1978), p. 311-321. [<a href="http://www.renyi.hu/~p_erdos/1978-29.pdf">alternate link</a>]

%F a(n) = A100392(n) - 1. - T. D. Noe, Nov 26 2007

%Y Cf. A006530, A082418-A082422, A071869, A071870.

%K nonn

%O 1,1

%A _N. J. A. Sloane_, Apr 25 2003

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Last modified August 23 01:10 EDT 2019. Contains 326211 sequences. (Running on oeis4.)