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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

Table of n, a(n) for n=1..4.

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-Fran├žois 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

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