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not unique factorization inside a subset of the set 4k-3 , k in N

Source: Tuymaada 1994 p2

April 27, 2019
number theoryProductfactorizationfactors

Problem Statement

The set of numbers M={4k−3∣k∈N}M=\{4k-3 | k\in N\} is considered. A number of of this set is called “simple” if it is impossible to put in the form of a product of numbers from MM other than 11. Show that in this set, the decomposition of numbers in the product of "simple" factors is ambiguous.
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