# Mersenne Number whose Index is Mersenne Prime/Historical Note

Jump to navigation
Jump to search

## Historical Note on Mersenne Number whose Index is Mersenne Prime

According to David Wells, in his *Curious and Interesting Numbers, 2nd ed.* of $1997$, this conjecture was made by Eugène Charles Catalan.

The composite nature of $2^{8191} - 1$ was reported on by Raphael Mitchel Robinson in $1954$, in an article in the *Proceedings of the American Mathematical Society*:

*The corresponding Mersenne number was actually tested in $1953$ by D.J. Wheeler on the Illiac, at the University of Illinois, one hundred hours of machine time being required.*

## Sources

- Oct. 1954: Raphael M. Robinson:
*Mersenne and Fermat Numbers*(*Proc. Amer. Math. Soc.***Vol. 5**,*no. 5*: pp. 842 – 846) www.jstor.org/stable/2031878

- 1986: David Wells:
*Curious and Interesting Numbers*... (previous) ... (next): $2^{8191} - 1$ - 1997: David Wells:
*Curious and Interesting Numbers*(2nd ed.) ... (previous) ... (next): $2^{8191} - 1$