Question: Let D=E= x Z :x n where n is equal to the sum of integers corresponding to last 3 alphabets of your name, for example

Let D=E=x∈Z :x≤nwhere n is equal to the sum of integers corresponding to last 3 alphabets of your name, for example if your name is BILAL then the three numbers will be L=12, A=1 and L=12 so n=12+1+12=25. If your first name is Muhammad choose second name. Determine whether the given statement is true or false? Also give justification.

For n∈D, n2+n + 41 is a prime number.
There exists an integerk∈D andk>3 such that 2k2− 5k + 2 isprime
∃u ∈D+ such that ∀v ∈E+, uv> v.

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