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%I #13 Aug 29 2024 23:34:02
%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