Number theory · Primes · Decimal representation · Divisibility rules
Ana picked the eight digits \(1, 2, 3, 4, 5, 6, 7\) and \(9\). She then forms groups of four two-digit primes, each group using all of her chosen digits. What is the sum of the four primes in one such group?
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Slovenian High School Mathematics Competition for Vega Awards (MaSSA), drzavno (national) round 2004, 1. letnik, category A, problem 4. Organized by DMFA Slovenije (Society of Mathematicians, Physicists and Astronomers of Slovenia). Source