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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
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
Sequence in context: A180654 A260576 A156358 * A092845 A216474 A222762
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.)