Using the result you proved in the question above, find a list of 200 consecutive composite integers. You may write the first 3 integers and then ... the last integer. These integers will be big, so please leave them in a form that involves the factorial.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Using the result you proved in the question above, find a list of 200 consecutive composite integers. You may write the first 3 integers and then ... the last integer. These integers will be big, so please leave them in a form that involves the factorial.

 

Now
kuow
we
n(n-is--- 3.2.1
%3D
iu
hence
DI +2 = nent) --- 3.21 + 2
d ncn-1)..-3-1 + 1
(assume)
%3D
similarily
h+3 =
3 [n (n-1)-.. 4.2.1 +
- 3 Kz
=n) en-i) (n-2).-- 3-2·1 + }
n Kn
Hence
D!+2, n!+3,
are composife
for aw iuteger n22
Transcribed Image Text:Now kuow we n(n-is--- 3.2.1 %3D iu hence DI +2 = nent) --- 3.21 + 2 d ncn-1)..-3-1 + 1 (assume) %3D similarily h+3 = 3 [n (n-1)-.. 4.2.1 + - 3 Kz =n) en-i) (n-2).-- 3-2·1 + } n Kn Hence D!+2, n!+3, are composife for aw iuteger n22
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