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A097972 Least m such that both p|m and p+2|m+2 for twin prime pairs (p,p+2) (p=A001359). 0

%I #9 Jun 06 2021 13:40:26

%S 18,40,154,340,928,1804,3658,5254,10504,11770,19180,22648,32578,37054,

%T 39400,52210,57838,73168,79804,97654,121450,176818,187054,213904,

%U 273004,325468,360598,382540,412804,436258,656908,676504,686410,737020,778804

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

%F a(n)=p*(p+3), with p=A001359.

%e For instance, {a(4), a(4)+2)}, i.e., (340=17*20, 342=19*18) is the smallest pair whose elements are respectively divisible by the 4th twin prime pair (17, 19).

%t lm[{a_,b_}]:=Module[{k=a+1},While[!Divisible[k+2,b]||!Divisible[k,a],k++];k]; lm/@Select[Partition[Prime[Range[200]],2,1],#[[2]]- #[[1]] == 2&] (* _Harvey P. Dale_, Jun 06 2021 *)

%K nonn

%O 1,1

%A _Lekraj Beedassy_, Sep 07 2004

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Last modified April 24 22:17 EDT 2024. Contains 371964 sequences. (Running on oeis4.)