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A060210 Largest prime factor of 1+smaller term of twin primes. 6

%I #15 Jul 08 2018 19:56:07

%S 2,3,3,3,5,7,5,3,17,3,23,5,5,3,11,19,5,5,47,13,29,7,3,11,29,19,5,103,

%T 107,11,5,137,23,13,7,17,43,7,59,13,3,41,71,43,31,11,17,11,19,31,67,5,

%U 139,283,41,149,13,313,23,13,37,13,347,29,11,71,17,373,7,11,13,397,17

%N Largest prime factor of 1+smaller term of twin primes.

%C Also: Largest prime factor of the average, or the sum, of twin prime pairs. - _M. F. Hasler_, Jan 03 2011

%H T. D. Noe, <a href="/A060210/b060210.txt">Table of n, a(n) for n = 1..10000</a>

%e 101 is the 9th lesser twin, 102 = 2*3*17, and its max p factor is 17=a(9).

%t FactorInteger[1+#][[-1,1]]&/@Select[Partition[Prime[Range[500]],2,1], #[[2]]- #[[1]]==2&][[All,1]] (* _Harvey P. Dale_, Jan 16 2017 *)

%o (PARI) p=3; for(n=1,1e3, until(o+2==p,p=nextprime(2+o=p)); print1(vecmax(factor(p-1)[,1])",")) \\ _M. F. Hasler_, Jan 03 2011

%Y Cf. A001359, A001454, A002822, A059960, A027856.

%K nonn

%O 1,1

%A _Labos Elemer_, Mar 20 2001

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