A103860 Sum of divisors of prime(n)! - prime(n)# + 1.

1, 1, 112, 4832, 39929032, 6227388000, 355687500698712, 121674349040732800, 26204303786955547121568, 8844022735747817449795273936944, 8243360285859647409507002537385024, 13989390090648918627329493090109449081402880, 33452526614068666040537953433982904696696861440000

Offset

1,3

Links

Table of n, a(n) for n=1..13.

Reinhard Zumkeller, p(n)! - p(n)# + 1.

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

Cf. A103855, A103858, A103859, A103895.

Sequence in context: A271671 A172129 A304552 * A265660 A271032 A213803

Adjacent sequences: A103857 A103858 A103859 * A103861 A103862 A103863

Keyword

nonn

Author

Reinhard Zumkeller, Feb 20 2005

Status

approved