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Henry Bushby Transcription pages

VM533B94v4-p169.jpg

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169


✓ n is 1 + MN
[following 12 lines have { to left] ✓[pencil text retraced in pen] n-1 is a multiple of N.
✓ N is a measure of (n-1)
✓[pencil text retraced in pen] n-1 is a measure of y
✓ y [horizontal line for "is a"?] multiple of (n-1)
✓[pencil text retraced in pen] x is a measure of y
✓ y [horizontal line for "is a"] multiple of x
✓ y [horizontal line for "is a"] multiple of N.
✓ N [horizontal line for "is a"] measure of y
✓ y = x(n-1)
✓ x = y[over]n-1
✓ z is G.C.M of x & n
[insert]^n=y+x/x
xn = y+x
xn-x = y

✓ x is any no from 1 to infinity, but
only certain values obtain in each S a-
cording to values of n.
Can x be divisible by a factor of
y which is not a factor of N?
y = x×(n-1)
GCM of x & n = z.
Let z = 1. Then x & n are primes to one another
*Can y/n-1 = y/MN where M is not a factor
of N.?
III5 1b/4c III7 [line]
Diagonal across page bottom left to top right with underline and overline]
p 168 I

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