A002982 - OEIS
The sequence of numbers n! - 1 together with their prime indices begins:
1: {}
5: {3}
23: {9}
119: {4,7}
719: {128}
5039: {675}
40319: {9,273}
362879: {5,5,430}
3628799: {10,11746}
39916799: {6,7,9,992}
479001599: {25306287}
6227020799: {270,256263}
87178291199: {3610490805}
1307674367999: {7,11,11,16,114905}
20922789887999: {436,318519035}
355687428095999: {8,21,10165484947}
6402373705727999: {17,20157,25293727}
121645100408831999: {119,175195,4567455}
2432902008176639999: {11715,659539127675}
(End)