login
A103860
Sum of divisors of prime(n)! - prime(n)# + 1.
3
1, 1, 112, 4832, 39929032, 6227388000, 355687500698712, 121674349040732800, 26204303786955547121568, 8844022735747817449795273936944, 8243360285859647409507002537385024, 13989390090648918627329493090109449081402880, 33452526614068666040537953433982904696696861440000
OFFSET
1,3
FORMULA
a(n) = A000203(A103855(n)).
MATHEMATICA
Module[{nn=15, pr, pm}, pr=Prime[Range[nn]]!; pm=FoldList[Times, Prime[Range[nn]]]; DivisorSigma[1, #[[1]]-#[[2]]+1&/@Thread[{pr, pm}]]] (* Harvey P. Dale, Dec 18 2022 *)
PROG
(PARI) a(n) = sigma(prime(n)! - factorback(primes(n)) + 1); \\ Jinyuan Wang, Dec 28 2024
CROSSREFS
KEYWORD
nonn
AUTHOR
Reinhard Zumkeller, Feb 20 2005
STATUS
approved