A290042 a(n) = product of n consecutive primes starting with nextprime(a(n-1)), with a(0) = 1.

1, 2, 15, 7429, 3080515841187929, 277406882783236415738415740236053512093193768766780577802245485078023713619433

Offset

0,2

Comments

The prime factors are A290043.

Links

Table of n, a(n) for n=0..5.

Formula

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

Example

a(1) = nextprime(1) = 2;
a(2) = nextprime(2)*nextprime(nextprime(2)) = 3*5 = 15;
a(3) = nextprime(15)*nextprime(nextprime(15))*nextprime(nextprime(nextprime(15))) = 17*19*23 = 7429.

Crossrefs

Cf. A290043.

Sequence in context: A064171 A365628 A135085 * A080911 A175981 A056072

Adjacent sequences: A290039 A290040 A290041 * A290043 A290044 A290045

Keyword

nonn

Author

Jonathan Sondow, Aug 20 2017

Status

approved