Prove or Disprove: a Positive Integer Congruent to 1 Modulo

question 131

True/False

Prove or disprove: A positive integer congruent to 1 modulo 4 cannot have a prime factor congruent to 3 modulo 4.

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Definitions:

Large-Scale Production

Refers to the manufacture of large quantities of products in efficient and cost-effective methods, often using automation and sophisticated technology.

Environmental Destruction

The degradation of the environment through depletion of resources such as air, water, and soil; the destruction of ecosystems; habitat destruction; the extinction of wildlife; and pollution.

Impoverishment

The condition of being poor or lacking the necessary means of subsistence and financial resources.

Adaptation

A series of beneficial adjustments to a particular environment.