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Numbers k such that A066266(k) is prime.
3

%I #30 Aug 08 2024 10:51:52

%S 1,2,5,12,15,35

%N Numbers k such that A066266(k) is prime.

%C The next term, if it exists, is greater than 120. - _Dmitry Kamenetsky_, May 11 2009

%C The next term, if it exists, is greater than 400. - _Michael S. Branicky_, Aug 08 2024

%H Romeo Meštrović, <a href="http://arxiv.org/abs/1202.3670">Euclid's theorem on the infinitude of primes: a historical survey of its proofs (300 BC--2012) and another new proof</a>, arXiv preprint arXiv:1202.3670 [math.HO], 2012-2023. - From N. J. A. Sloane, Jun 13 2012

%H Carlos Rivera, <a href="http://www.primepuzzles.net/puzzles/puzz_118.htm">Puzzle 118. Primorial product numbers</a>, The Prime Puzzles & Problems Connection.

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/Primorial.html">Primorial</a>.

%t t={}; Do[If[PrimeQ[Times@@Table[Times@@Prime[Range[n]],{n,k}]+1],AppendTo[t,k]],{k,35}]; t (* _Jayanta Basu_, May 12 2013 *)

%Y Cf. A066266, A066268, A066269, A002110, A006939, A005234.

%K nonn,hard,more

%O 1,2

%A _Patrick De Geest_, Dec 16 2001

%E Offset changed from 0 to 1 by _Harry J. Smith_, Feb 08 2010

%E Name simplified by _Jon E. Schoenfield_, Oct 25 2019