# Biography:Taro Morishima

**Taro Morishima** (森嶋 太郎 *Morishima Tarō*, 1903 – 1989) was a Japanese mathematician specializing in algebra who attended University of Tokyo in Japan. Morishima published at least thirteen papers, including his work on Fermat's Last Theorem.^{[1]} and a collected works volume published in 1990 after his death.^{[2]} He also corresponded several times with American mathematician H. S. Vandiver.^{[3]}

## Morishima's Theorem on FLT[edit]

- Let m be a prime number not exceeding 31. Let
*p*be prime, and let*x*,*y*,*z*be integers such that*x*^{p}+*y*^{p}+*z*^{p}= 0. Assume that*p*does not divide the product*xyz*. Then,*p*² must divide m^{p − 1}-1.

## Review[edit]

Granville wrote that Morishima's proof could not be accepted. [1]

## References[edit]

- ↑ Morishima, Taro (January 1952). "On Fermat's Last Theorem (Thirteenth Paper)".
*Transactions of the American Mathematical Society***72**(1): 67–81. doi:10.2307/1990655. - ↑ Morishima, Taro; Y Karamatsu (1990).
*Collected papers of Taro Morishima*. Kingston, Ontario, Canada: Queens University. - ↑ "A Guide to the H. S. Vandiver Papers, 1889-1977". The Center for American History at the University of Texas at Austin. http://www.lib.utexas.edu/taro/utcah/00303/cah-00303.html. Retrieved 2006-11-28.

## External links[edit]

*https://en.wikipedia.org/wiki/Taro Morishima was the original source. Read more*.