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

Author

Reinhard Zumkeller, Feb 20 2005

Keywords

• nonn

Links

• Amiram Eldar, Table of n, a(n) for n = 1..26
• Reinhard Zumkeller, p(n)! - p(n)# + 1.

Crossrefs

Cf. A000203, A103855, A103858, A103859, A103895.

Programs

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 *)

PARI

a(n) = sigma(prime(n)! - factorback(primes(n)) + 1); \\ Jinyuan Wang, Dec 28 2024

Formula

a(n) = A000203(A103855(n)).