A290042 - OEIS

%I #10 Aug 21 2017 03:12:08

%S 1,2,15,7429,3080515841187929,

%T 277406882783236415738415740236053512093193768766780577802245485078023713619433

%N a(n) = product of n consecutive primes starting with nextprime(a(n-1)), with a(0) = 1.

%C The prime factors are A290043.

%F a(n) = Product_{k=n(n-1)/2 + 1..n(n+1)/2} A290043(k) for n > 0.

%e a(1) = nextprime(1) = 2;

%e a(2) = nextprime(2)*nextprime(nextprime(2)) = 3*5 = 15;

%e a(3) = nextprime(15)*nextprime(nextprime(15))*nextprime(nextprime(nextprime(15))) = 17*19*23 = 7429.

%Y Cf. A290043.

%K nonn

%O 0,2

%A _Jonathan Sondow_, Aug 20 2017