ROSECODE 213
Compositorial plus one
Let c(n)=n!/n# be the n-th compositorial number, where n# is the product of primes up to n. For example
c(7)=1*2*3*4*5*6*7/(2*3*5*7)=24.
S(p)={n: c(n)+1 is divisible by p}
H(p)=|S(p)|, so the size of S(p).
Example: H(5)=4 as S(5)={4,5,6,7}.
Find several values of H(p) (where p is prime).
Answer format: H(6031001),H(6873371),H(9103859),H(6133003),H(7834447)
S(p)={n: c(n)+1 is divisible by p}
H(p)=|S(p)|, so the size of S(p).
Example: H(5)=4 as S(5)={4,5,6,7}.
Find several values of H(p) (where p is prime).
Answer format: H(6031001),H(6873371),H(9103859),H(6133003),H(7834447)