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190 SPECIAL TOPICS IN THEORETICAL ARITHMETIC
tru, that is, that
N=14+1r+1724 -« 4+ 171 4 (r — (I 4+ 1))7?
+ (r — 1)’:—2::(7—/3—2)7’0
where 1 = I =7r — 4.

Then (r — G+ )P F @ — 1) rf b b )

e U DD -1 Y =k — )
= (= (4 D)+ (= (43 + (+ 27!

) (r—Fk—2)r
.

=1+1

+o-1)
= (r—0U+1))r'4+@2— @+ 3)r)r 4+ (14 2)r
ST G ke

k=1+1

U = 1) S =k = D

k=1+1

r—3
=1+ @ —-0C+2))rt+(r—1) > (r —k— 2)r*
k=1+1
Hence

N=1+41r41224 - 411 p 1l (r — (I 4 2))riH
r—3
sefr=1) 3. (r—Fk— 2%,

k=141
which is the same as the given form with / 4+ 1 in place of /.
Hence, if any statement of the set except the last is tru, the
next is tru.
Therfor they are all tru,