cp's OEIS Frontend

A185681 a(n) = start of n consecutive numbers divisible respectively by prime(k)^n, for k=1..n.

%I A185681 #12 Mar 30 2012 18:35:54
%S A185681 2,8,21248,1197741248,16414088688381248,579329868703698452660781248,
%T A185681 20182773361697812807734811854155781248,
%U A185681 28343998868273668587268878406666355122557128720825781248
%N A185681 a(n) = start of n consecutive numbers divisible respectively by prime(k)^n, for k=1..n.
%C A185681 a(n) is the smallest number such that: prime(1)^n | a(n),  prime(2)^n | a(n)+1,..., prime(n)^n | a(n)+n-1.
%e A185681 a(1) = 2 as 2 is divisible by 2^1 ;
%e A185681 a(2) = 8 as 8 and 9 are divisible by 2^2 and 3^2 respectively ;
%e A185681 a(3) = 21248 as 21248, 21249 and 21250 are divisible by 2^3, 3^3 and 5^3 respectively.
%t A185681 Table[ ChineseRemainder[ Table[ -i, {i, 0, n - 1}], Table[ Prime[i]^n, {i,  1, n}]], {n, 2, 10}]
%Y A185681 Cf. A069561, A072562, A181682.
%K A185681 nonn
%O A185681 1,1
%A A185681 _Michel Lagneau_, Feb 10 2011