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Document number: 5898
Date: 11 Jan 1866
Recipient: TALBOT William Henry Fox
Author: TAIT Peter Guthrie
Collection: British Library, London, Manuscripts - Fox Talbot Collection
Last updated: 1st September 2003

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

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