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A066266 Product of first n primorials + 1. 4
3, 13, 361, 75601, 174636001, 5244319080001, 2677277333530800001, 25968760179275365452000001, 5793445238736255798985527240000001, 37481813439427687898244906452608585200000001 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

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)=361 since 361 = (2).(2.3).(2.3.5) + 1.

MATHEMATICA

Table[Times@@Table[Times@@Prime[Range[n]], {n, k}]+1, {k, 40}] (* Jayanta Basu, May 12 2013 *)

Rest[FoldList[Times, 1, Rest[FoldList[Times, 1, Prime[Range[10]]]]]]+1 (* Harvey P. Dale, Sep 16 2013 *)

PROG

(PARI) { p=1; q=1; for (n=1, 37, p*=prime(n); q*=p; write("b066266.txt", n, " ", q + 1) ) } \\ Harry J. Smith, Feb 08 2010

CROSSREFS

Cf. A066267, A066268, A066269, A002110, A006939, A005234.

Sequence in context: A180654 A260576 A156358 * A092845 A216474 A222762

Adjacent sequences:  A066263 A066264 A066265 * A066267 A066268 A066269

KEYWORD

nonn

AUTHOR

Patrick De Geest, Dec 16 2001.

EXTENSIONS

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

STATUS

approved

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Last modified October 15 14:07 EDT 2018. Contains 316236 sequences. (Running on oeis4.)