6 Greenhill Gardens,
My dear Sir,
The Theorem I <enuntiated?> to you is –
If xm = ym + zm
(m being a prime > 2)
xm = αm βm = ym + zm
& αm = y + z
if x be not divisible by m.
Thus not only is ym + zm/y + z (= βm) to be an mth power – but, the numerator and denominator must each be an mth power.
I have also shown that β leaves a remainder 1 when divided by m.
Yours truly
P.S. Tait.
H. F. Talbot Esqr
<envelope>
H. F. Talbot Esqre
13 Great Stuart Street,
(Edinr)
P.G. Tait