A report on primes of the form ⋅2ⁿ+1 and on factors of Fermat numbers

This note is a report on some calculations carried out during 1956 and 1957 on the SWAC, a high-speed computer located on the Los Angeles campus of the University of California, and supported in part by the Office of Naval Research. A preliminary report appeared in [11], and a few copies of a large table [12] were printed. The routines used on the SWAC were prepared by the author. My thanks are due to John L. Selfridge for assistance in operating the computer, and for valuable suggestions.