A119411 Product of the first prime(n) primes.

6, 30, 2310, 510510, 200560490130, 304250263527210, 1922760350154212639070, 7858321551080267055879090, 267064515689275851355624017992790, 279734996817854936178276161872067809674997230

Offset

1,1

References

A. Fletcher, J. C. P. Miller, L. Rosenhead and L. J. Comrie, An Index of Mathematical Tables. Vols. 1 and 2, 2nd ed., Blackwell, Oxford and Addison-Wesley, Reading, MA, 1962, Vol. 1, p. 50.

Links

Table of n, a(n) for n=1..10.

Formula

a(n) = p(p[n])#, where p[n] is the n-th prime number and where p(m)# is the m-th primorial number (Cf. A002110).

Example

a(1) = p(p(1))# = p(2)# (because p(1) = 2 is the first prime number) = 2* 3 = 6 (by the definition of primorial, see A002110); that is, the product of the first 2 prime numbers.
a(2) = p(p(2))# = p(3)# = 2 * 3 * 5 = 30 = the product of the first 3 primes.
a(3) = 2 * 3 * 5 * 7 * 11 = 2310 = the product of the first 5 primes.
a(4) = 2 * 3 * 5 * 7 * 11 * 13 * 17 = 510510 = product of first 7 primes.

Mathematica

Array[Times @@ Array[Prime, Prime@# ] &, 10] (* Robert G. Wilson v, Jul 27 2006 *)

Crossrefs

Cf. A002110.

Sequence in context: A202861 A088256 A136349 * A036285 A101340 A156825

Adjacent sequences: A119408 A119409 A119410 * A119412 A119413 A119414

Keyword

easy,nonn

Author

Walter Carlini, Jul 26 2006

Extensions

a(10) from Robert G. Wilson v, Jul 27 2006

Status

approved