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A341812
Primes p such that p#-1 is divisible by the next prime after p.
2
3, 7, 176078267
OFFSET
1,1
COMMENTS
Here p# means A034386(p).
The next prime after p is then in A341804.
LINKS
Carlos Rivera, Puzzle 117. Certain p#+1 values, contains message from Wilfred Whiteside mentioning this sequence.
EXAMPLE
The prime 7 is a member of this sequence because 2*3*5*7-1=209 is divisible by 11, the next prime immediately following 7.
11 is NOT a member of this sequence because 2*3*5*7*11-1=2309 is not divisible by 13 (leaves a remainder of 8), the next prime after 11.
PROG
(PARI) isok(p) = if (isprime(p), my(a=Mod(1, nextprime(1+p))); forprime(q=2, p, a*=q); (a == 1)); \\ Michel Marcus, Mar 03 2021
CROSSREFS
KEYWORD
nonn,bref,hard,more
AUTHOR
Jeppe Stig Nielsen, Feb 20 2021
STATUS
approved