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A115658 a(n) is the smallest product of a(n-1) distinct primes; a(1) = 1. 2
1, 2, 6, 30030 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

A subsequence of A002110. a(5) = prime(a(4))# = prime(30030)# = 350741# [= A002110(30030)], a 152104-digit number. Compare with A007097 (primeth recurrence): The current sequence is analogously the primorial(e)th recurrence but grows faster even than A014221 (Ackermann function A_3(n+1)). This suggests considering the analogs also for factorials, hyperfactorials, etc., to see which may fit as OEIS entries.

This sequence has tetrational growth. a(4) has 5 decimal digits; a(5) has 152,104 decimal digits; a(6) has about 2.1292101 * 10^152097 decimal digits. - Charles R Greathouse IV, Dec 09 2011

LINKS

Table of n, a(n) for n=1..4.

FORMULA

a(n) = prime(a(n-1))# = prod(k=1, a(n-1), prime(k)) = A002110(a(n-1)) for n >= 2; a(1) = 1.

EXAMPLE

a(4) = prime(a(3))# = prime(6)# = 13# = 2*3*5*7*11*13 = 30030 [= A002110(6)].

CROSSREFS

Cf. A014221 (similar but not squarefree), A007097.

Sequence in context: A231545 A055698 A121167 * A005607 A184391 A161563

Adjacent sequences:  A115655 A115656 A115657 * A115659 A115660 A115661

KEYWORD

nonn

AUTHOR

Rick L. Shepherd, Jan 28 2006

EXTENSIONS

Name edited by Charles R Greathouse IV, Feb 02 2017

STATUS

approved

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Last modified August 26 05:23 EDT 2019. Contains 326328 sequences. (Running on oeis4.)