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 2021-06-26, 23:00 #1 bhelmes     Mar 2016 17116 Posts lineare substitution A peaceful and pleasant night for you, Let f(n)=2n²-1 n=a+bk then f(a+bk)=2(a+bk)²-1= 2(a²+2abk+b²k²)=2a²+4abk+2b²k²=g(k) if t|f(n) for which k t|g(k) ? I am today a little bit stupid and if someone could give me a hint, it would be nice.
 2021-06-27, 18:31 #2 bhelmes     Mar 2016 32×41 Posts Solving the linear substitution to k will do it.
 2021-06-29, 01:21 #3 bhelmes     Mar 2016 32×41 Posts A friendly good night for you Let f(n)=2n²-1 and t|f(no) g(k)=2k²-1 - C where C is a constant for which k0 t|g(ko) ? this is not a linear substitution and I will be glad knowing the answer.

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