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arithmetic progression of 7 different prime terms

Source: 2019 Argentina OMA Finals L3 p5

January 16, 2023
number theoryprimesarithmetic sequence

Problem Statement

There is an arithmetic progression of 77 terms in which all the terms are different prime numbers. Determine the smallest possible value of the last term of such a progression.
Clarification: In an arithmetic progression of difference dd each term is equal to the previous one plus dd.