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P1
Fermat pseudoprime
Fermat pseudoprime
Source:
April 23, 2020
number theory
Problem Statement
Let
k
>
1
k>1
k
>
1
be the given natural number and
p
∈
P
p\in \mathbb{P}
p
∈
P
such that
n
=
k
p
+
1
n=kp+1
n
=
k
p
+
1
is composite number. Given that
n
∣
2
n
−
1
−
1.
n\mid 2^{n-1}-1.
n
∣
2
n
−
1
−
1.
Prove that
n
<
2
k
.
n<2^k.
n
<
2
k
.
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