Some recent results in number theory, discovered with electronic computers, are discussed in this paper. Central results, and results closely related to them, have been selected from the following areas: prime, composite, perfect numbers; distribution of primes, twin primes; Fermat's and Wilson's quotients; Fibonacci and pseudo‐Fibonacci numbers; and zeros of the Riemann zeta function. Many open questions, unsolved problems, and conjectures in these areas are mentioned. By discussing some of the recent computer‐established results in number theory, this paper illustrates the tremendous impact of computers on pure mathematical research.