Allan J. C. Cunningham

Allan Joseph Champneys Cunningham (1842–1928) was a British mathematician.[1]

Allan J. C. Cunningham
Born	Allan Joseph Champneys Cunningham 1842 Delhi, India
Died	1928 (aged 86) London, United Kingdom
Nationality	British
Known for	Cunningham chain Cunningham number the Cunningham project
Scientific career
Fields	Number theory

Biography

Born in Delhi, Cunningham was the son of Sir Alexander Cunningham, archaeologist and the founder of the Archaeological Survey of India.[2] He started a military career with the East India Company's Bengal Engineers at a young age. From 1871 to 1881, he was instructor in mathematics at the Thomason College of Civil Engineering. Upon returning to the United Kingdom in 1881, he continued teaching at military institutes in Chatham, Dublin and Shorncliffe. He left the army in 1891. He spent the rest of his life studying number theory. He applied his expertise to finding factors of large numbers of the form aⁿ ± bⁿ, such as Mersenne numbers (${\displaystyle 2^{p}-1}$) and Fermat numbers (${\displaystyle 2^{2^{n}}+1}$) which have b = 1. His work is continued in the Cunningham project.

References

1. A. E. Western, J. London Math. Soc. 317–318 (1928)
2. Cotton, J. S. & James Lunt (reviser) (2004). "Cunningham, Sir Alexander (1814–1893)". Oxford Dictionary of National Biography. Oxford Dictionary of National Biography (online ed.). Oxford University Press. doi:10.1093/ref:odnb/6916. (Subscription or UK public library membership required.)

External links

• Number Theory Web, Allan Joseph Champneys Cunningham (based on the obituary by A.E. Western).