cp's OEIS Frontend

A248331 a(n) is the first term in a length n sequence of consecutive integers that are divisible respectively by the square of the first n primes.

%I A248331 #24 Oct 29 2014 04:18:26
%S A248331 0,8,548,29348,1308248,652312448,180110691548,65335225716548,
%T A248331 38733853511213648,4368761145612023948,1804216772228848838648,
%U A248331 14884872991210984993091648,9816873967836575781598117448,143397994078495393809327283088348
%N A248331 a(n) is the first term in a length n sequence of consecutive integers that are divisible respectively by the square of the first n primes.
%C A248331 The sequence of consecutive integers is the smallest such sequence.
%D A248331 K. H. Rosen, Elementary Number Theory and its Applications, Addison-Wesley, 1984, page 113.
%e A248331 a(4)=29348.  29348 is divisible by 4, 29349 is divisible by 9, 29350 is divisible by 25, 29351 is divisible by 49.
%e A248331 The first few rows of the triangle of quotients are:
%e A248331 0;
%e A248331 2, 1;
%e A248331 137, 61, 22;
%e A248331 7337, 3261, 1174, 599;
%e A248331 327062, 145361, 52330, 26699, 10812;
%e A248331 163078112, 72479161, 26092498, 13312499, 5391012, 3859837;
%e A248331 - _Michel Marcus_, Oct 27 2014
%t A248331 Table[ChineseRemainder[Reverse[Range[-k, 0]], Table[Prime[n]^2, {n, 1, k + 1}]], {k, 0, 13}]
%Y A248331 Cf. A069561.
%K A248331 nonn
%O A248331 1,2
%A A248331 _Geoffrey Critzer_, Oct 26 2014