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Problem 6: THE MERCHANT'S COINS.
Coins worth a, a+d, a+2d, ..., a+kd with gcd(a, d) = 1.
Some totals can never be paid exactly. What is the largest one? Find a formula, with proof.
Solution 4 is live.
#QEDEventually #FrobeniusCoinProblem #NumberTheory #ArithmeticProgression

Problem 5: THE SQUARE THAT WAITED.
26 sits between 25 = 5² and 27 = 3³. Fermat said it is the only such number.
Find every integer solution of y² + 2 = x³.
Solution 3 is live.
#QEDEventually #NumberTheory #MathPuzzle

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