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A097973 Least m>p such that p|m, p+1|m+1 and p+2|m+2, for twin prime pairs (p, p+2), p in A001359. 1

%I

%S 63,215,1727,5831,26999,74087,215999,373247,1061207,1259711,2628071,

%T 3374999,5831999,7077887,7762391,11852351,13823999,19682999,22425767,

%U 30371327,42144191,74087999,80621567,98611127,142236647,185192999

%N Least m>p such that p|m, p+1|m+1 and p+2|m+2, for twin prime pairs (p, p+2), p in A001359.

%H Robert Israel, <a href="/A097973/b097973.txt">Table of n, a(n) for n = 1..10000</a>

%F a(n) = p*(p+1)*(p+2) + p = (p+1)^3 - 1 (p=A001359, p+1=A014574).

%e The triple {a(6), a(6)+1, a(6)+2}, for instance, i.e., (74087=41*1807, 74088=42*1764, 74089=43*1723) is the smallest one whose elements are respectively divisible by those of (41, 42, 43), (41, 43) being the 6th twin prime pair.

%p map(t -> (t+1)^3-1, select(t -> isprime(t) and isprime(t+2), [3,seq(i,i=5..10^4,6)])); # _Robert Israel_, May 16 2018

%K nonn

%O 1,1

%A _Lekraj Beedassy_, Sep 07 2004

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Last modified January 28 06:00 EST 2021. Contains 340490 sequences. (Running on oeis4.)