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Solve the Problem n279n+1601n ^ { 2 } - 79 n + 1601

question 109

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Solve the problem.
-Escott used the formula n279n+1601n ^ { 2 } - 79 n + 1601 to generate prime numbers for whole numbers nn . The formula fails to produce a prime for n=80\mathrm { n } = 80 .
Evaluate Escott's formula for n=81\mathrm { n } = 81 and determine whether this is a prime number. If it is not a prime number, give its prime factors.

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Definitions:

Alfred Marshall

He was a prominent British economist in the late 19th and early 20th centuries, best known for his significant contributions to the principles of microeconomics.

Price Determination

The process by which the prices of goods and services are established based on supply and demand conditions.

Supply and Demand

The fundamental economic model describing how prices vary as a result of a balance between product availability and the desire of buyers.

Quantity Demanded

The aggregate quantity of a product or service that buyers are prepared to buy at a specific price point.

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