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What is Congruence in Number Theory about?

This document contains several number theory and congruence problems: 1) Find the values of λ that satisfy the congruence 56n+2 + 4λ ≡ 0 [9] for -13 < λ ≤ 30. The values are λ={-4,5,14,23}. 2) Determine if the expressions 7n2 + 7n + 7 and 11n + 97n+1 + 5 are divisible by 9 for all integer values of n.

Author

Athmane

Language

EN