1603

### Cataldi's Divisor Table

Oldest divisor table, giving divisors for numbers up to 750

Cataldi wrote the first divisor table in 1588, publishing a table of divisors up to 750 (extended to 800 in a supplement) in 1603.

The oldest divisor table is due to Cataldi, who gave a list of the divisors of all numbers to 750 (extended to 800) in connection with his study of perfect numbers. The work was composed in 1588 and published in Bologna in 1603. Cataldi proved with the help of his table that Mersenne numbers 2^17 - 1 and 2^19 - 1 were prime and asserted that exponents 23, 29, 31, 37 also generated perfect numbers. The assertion was later proven false (with the exception of 31) by Fermat and Euler.