The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A058233 Primes p such that p#+1 is divisible by the next prime after p. 8
 2, 17, 1459, 2999 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS No additional terms through the 100000th prime. - Harvey P. Dale, Mar 12 2014 a(5) > prime(1400000) = 22182343. - Robert Price, Apr 02 2018 LINKS Carlos Rivera, Puzzle 117: Certain p#+1 values, The Prime Puzzles and Problems Connection. EXAMPLE 2*3*5*7*11*13*17+1 is divisible by 19. MATHEMATICA primorial[n_] := Product[ Prime[k], {k, 1, PrimePi[n]}]; Select[ Prime[ Range[1000]], Divisible[ primorial[#] + 1, NextPrime[#]] &] (* Jean-François Alcover, Aug 19 2013 *) Module[{prs=Prime[Range[500]]}, Transpose[Select[Thread[{Rest[ FoldList[ Times, 1, prs]], prs}], Divisible[ First[#]+1, NextPrime[Last[#]]]&]][[2]]] (* Harvey P. Dale, Mar 12 2014 *) CROSSREFS Cf. A006862, A066735, A341804. Sequence in context: A012988 A261535 A327020 * A062635 A060835 A122054 Adjacent sequences:  A058230 A058231 A058232 * A058234 A058235 A058236 KEYWORD nice,nonn,more AUTHOR Carlos Rivera, Dec 01 2000 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified April 10 16:05 EDT 2021. Contains 342845 sequences. (Running on oeis4.)