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ERIC Number: EJ753918
Record Type: Journal
Publication Date: 2006-Oct-15
Pages: 5
Abstractor: Author
ISBN: N/A
ISSN: ISSN-0020-739X
EISSN: N/A
Available Date: N/A
A Statistical Argument for the Weak Twin Primes Conjecture
Bruckman, P. S.
International Journal of Mathematical Education in Science & Technology, v37 n7 p838-842 Oct 2006
Certain definitions introduce appropriate concepts, among which are the definitions of the counting functions of the primes and twin primes, along with definitions of the correlation coefficient in a bivariate sample space. It is argued conjecturally that the characteristic functions of the prime "p" and of the quantity "p"+2 are highly correlated, based upon the observed behaviour of their corresponding counting functions. This conjecture implies the truth of the famous "weak twin primes conjecture" (WTPC). In conclusion, this same argument may be used to advance the truth of other famous number theoretic conjectures, such as the Goldbach conjecture.
Taylor & Francis, Ltd. 325 Chestnut Street Suite 800, Philadelphia, PA 19106. Tel: 800-354-1420; Fax: 215-625-2940; Web site: http://www.tandf.co.uk/journals/default.html
Publication Type: Journal Articles; Reports - Descriptive
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A
Author Affiliations: N/A