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A066268 Product of first n primorials - 1. 4
1, 11, 359, 75599, 174635999, 5244319079999, 2677277333530799999, 25968760179275365451999999, 5793445238736255798985527239999999, 37481813439427687898244906452608585199999999 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Harry J. Smith, Table of n, a(n) for n=1,...,37

R. Mestrovic, Euclid's theorem on the infinitude of primes: a historical survey of its proofs (300 BC--2012) and another new proof, arXiv preprint arXiv:1202.3670, 2012 - From N. J. A. Sloane, Jun 13 2012

C. Rivera, Primorial product numbers

Eric Weisstein's World of Mathematics, Primorial.

EXAMPLE

E.g. a(3)=359 since 359 = (2).(2.3).(2.3.5) - 1.

MATHEMATICA

Table[Times@@Table[Times@@Prime[Range[n]], {n, k}]-1, {k, 40}]

or,

pr2=1; Table[pr1=1; Do[pr1=pr1*Prime[n], {n, k}]; pr2=pr2*pr1; pr2-1, {k, 40}](* Jayanta Basu, May 12 2013 *)

PROG

(PARI) { p=1; q=1; for (n=1, 37, p*=prime(n); q*=p; write("b066268.txt", n, " ", q - 1) ) } [From Harry J. Smith, Feb 08 2010]

CROSSREFS

Cf. A066266, A066267, A066269, A002110, A006939, A006794.

Sequence in context: A067428 A171630 A162019 * A257227 A176474 A000464

Adjacent sequences:  A066265 A066266 A066267 * A066269 A066270 A066271

KEYWORD

nonn

AUTHOR

Patrick De Geest, Dec 16 2001.

EXTENSIONS

OFFSET changed from 0,2 to 1,2 by Harry J. Smith, Feb 08 2010

STATUS

approved

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Last modified February 23 11:21 EST 2018. Contains 299564 sequences. (Running on oeis4.)