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In number theory, Kobayashi's theorem is a result concerning the distribution of prime factors in shifted sequences of integers. The theorem, proved by Hiroshi Kobayashi, demonstrates that shifting a sequence of integers with finitely many prime factors necessarily introduces infinitely many new prime factors.[1]
- ^ Kobayashi, Hiroshi (1981-12-01). "On Existence of Infinitely Many Prime Divisors in a Given Set". Tokyo Journal of Mathematics. 4 (2): 379–380. doi:10.3836/tjm/1270215162.