An Application of the Hardy-Ramanujan Theorem
| dc.contributor.author | Kamalu, Chukwunyere | |
| dc.date.accessioned | 2024-03-16T13:27:57Z | |
| dc.date.available | 2024-03-16T13:27:57Z | |
| dc.date.issued | 2022-02-11 | |
| dc.description | Supplemental Materials: https://osf.io/g8946/ | |
| dc.description.abstract | This paper attempts to answer the riddle of why Ω(m), the sum of the exponents of the prime decomposition of m = (2x-2)(2x-3)(2x-5) …(2x-qb) [where qb is the bth prime and b = π(x), the number of primes not exceeding x], always appears to lie in the region of 2π(x), where π(x) is the number of primes not exceeding x. It turns out that an application of the Hardy Ramanujan Theorem shows Ω(m) is almost always exceeded by 2π(x), which has the logical implication the Goldbach’s Conjecture is “almost always true”. | |
| dc.description.provenance | Submitted by Grace Kambwiri (gracekambwiri@gmail.com) on 2024-03-16T13:27:57Z No. of bitstreams: 1 An application of hardy ramanujan.pdf: 779167 bytes, checksum: 461f6cce9fcf21e09fe9e9cad7a54cd7 (MD5) | en |
| dc.description.provenance | Made available in DSpace on 2024-03-16T13:27:57Z (GMT). No. of bitstreams: 1 An application of hardy ramanujan.pdf: 779167 bytes, checksum: 461f6cce9fcf21e09fe9e9cad7a54cd7 (MD5) Previous issue date: 2022-02-11 | en |
| dc.identifier.doi | https://doi.org/10.31730/osf.io/w3eqs | |
| dc.identifier.doi | https://doi.org/10.60763/africarxiv/626 | |
| dc.identifier.uri | https://africarxiv.ubuntunet.net/handle/1/670 | |
| dc.subject | Hardy Ramanujan Theorem | |
| dc.subject | Mathematical induction | |
| dc.title | An Application of the Hardy-Ramanujan Theorem |