@article {Bruckman:July 2008:0020-739X:631, author = "Bruckman, Paul", title = "A generalization of the prime number theorem", journal = "International Journal of Mathematical Education in Science and Technology", volume = "39", year = "July 2008", abstract = "A general theorem is introduced and proved, a special case of which is the prime number theorem (PNT). The main theorem proved in this article is the following: [image omitted], where F:  →  is analytic for all x ≥ 2, and the p's in the sum represent all primes p ≤ N. Since PNT is used to derive our generalization, we may say that PNT and our generalization are equivalent.", pages = "631-635(5)", url = "http://www.ingentaconnect.com/content/tandf/tmes/2008/00000039/00000005/art00004" doi = "doi:10.1080/00207390701867455" }