cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A119645 Product of consecutive prime number of primes.

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%I A119645 #13 Jun 18 2025 19:18:00
%S A119645 6,385,2800733,297194980009,1334735302498393188221,
%T A119645 11619338480236377089380289447,
%U A119645 10619210758832202863571310834864572265523,809071570100634918731540230003790633463788552651
%N A119645 Product of consecutive prime number of primes.
%H A119645 Harvey P. Dale, <a href="/A119645/b119645.txt">Table of n, a(n) for n = 1..47</a>
%e A119645 a(1) = 2 * 3 = 6 (the product of the first 2 primes).
%e A119645 a(2) = 5 * 7 * 11 = 385 (the product of the next 3 primes).
%e A119645 a(3) = 13 * 17 * 19 * 23 * 29 = 2800733 (product of next 5 primes).
%e A119645 a(4) = 31 * 37 * 41 * 43 * 47 * 53 * 59 = 297194980009 (product next 7 primes).
%t A119645 s[n_] := Sum[Prime[i], {i, n}]; Table[Product[Prime[j], {j, s[n - 1] + 1, s[n]}], {n, 8}] (* _Arkadiusz Wesolowski_, May 21 2013 *)
%t A119645 Module[{nn=10,len},len=Total[Prime[Range[nn]]];Times@@@TakeList[Prime[Range[len]],Prime[Range[nn]]]] (* _Harvey P. Dale_, Jun 18 2025 *)
%K A119645 easy,nonn
%O A119645 1,1
%A A119645 _Walter Carlini_, Jul 28 2006
%E A119645 a(4) corrected by _Arkadiusz Wesolowski_, May 21 2013