Portal de Periódicos da CAPES

On the factors of certain Mersenne numbers. II

1964; American Mathematical Society; Volume: 18; Issue: 85 Linguagem: Inglês

10.1090/s0025-5718-1964-0159776-x

1088-6842

John Brillhart,

History and Theory of Mathematics

This paper is the second of two papers dealing with the prime factors of Mersenne numbers Mp = 2P -1 of prime exponent (see Brillhart andJohnson [1]).The 899 new factors given below, which were discovered on the IBM 7090 of the Computing Facility at the University of California at Los Angeles, constitute the remaining factors needed for a complete listing in the literature of all prime factors q < 235 for 103 g p g 257 and q < 2U for 257 < p < 20000 (See Brillhart [2], Karst [4], Kravitz [5], Riesel [6], [7]).