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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 Romeo Meštrović, 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 [math.HO], 2012-2023. - From N. J. A. Sloane, Jun 13 2012 Carlos Rivera, Puzzle 118. Primorial product numbers, The Prime Puzzles & Problems Connection. Eric Weisstein's World of Mathematics, Primorial. EXAMPLE 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 to 1 by Harry J. Smith, Feb 08 2010 STATUS approved

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Last modified March 1 22:23 EST 2024. Contains 370443 sequences. (Running on oeis4.)