p(n):4n+1, for n =_n is not a prime number
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not a prime numbers.....
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x
2
−x+41
P(n)=x
2
−x+41 is a prime number
P(1)=1
2
−1+41 is a prime No. of
P(1)=41 is prime, which is true
P(2)=2
2
−2+41 is a prime No, i.e.,
P(2)=43 is prime No, which is true
P(211)=41
2
−41+41 is a prime No,
i.e., P(41)=41
2
is a primes which is Not true.
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