Let us define a function f:N→Nf:N→N such that f(0)=1,f(1)=0f(0)=1,f(1)=0, and f(n)=(n−1)[f(n−1)+f(n−2)]f(n)=(n−1)[f(n−1)+f(n−2)] for all n≥2n≥2. Define the following sets,
- S1={n|f(n)S1={n|f(n) is even, n≤6}n≤6}
- S2={n|f(n)S2={n|f(n) is odd, n≤6}n≤6}
- T={n|f(n)T={n|f(n) is prime }}
How can set T be finite. Since the outcome of Prime numbers can be infinite. How can the set be limited to make it finite.--
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