A119645 Product of consecutive prime number of primes.

6, 385, 2800733, 297194980009, 1334735302498393188221, 11619338480236377089380289447, 10619210758832202863571310834864572265523, 809071570100634918731540230003790633463788552651

Offset: 1

Author

Walter Carlini, Jul 28 2006

Keywords

• easy
• nonn

Examples

			a(1) = 2 * 3 = 6 (the product of the first 2 primes).
a(2) = 5 * 7 * 11 = 385 (the product of the next 3 primes).
a(3) = 13 * 17 * 19 * 23 * 29 = 2800733 (product of next 5 primes).
a(4) = 31 * 37 * 41 * 43 * 47 * 53 * 59 = 297194980009 (product next 7 primes).
		

Links

• Harvey P. Dale, Table of n, a(n) for n = 1..47

Programs

Mathematica

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 *)
Module[{nn=10,len},len=Total[Prime[Range[nn]]];Times@@@TakeList[Prime[Range[len]],Prime[Range[nn]]]] (* Harvey P. Dale, Jun 18 2025 *)

Extensions

a(4) corrected by Arkadiusz Wesolowski, May 21 2013