Question

Objects that violate the converse of this theorem can be detected via Korselt's criterion. The exponent in this theorem is replaced with “phi-of-n” to extend it to arbitrary integers in Euler's theorem. (15[1])This theorem can be proved combinatorially by counting necklaces whose beads must not all be the same color, (15[1])or algebraically by applying Lagrange's theorem to (*) Z-sub-p. This theorem and its generalizations are used to prove the correctness of RSA. Since the Carmichael numbers are never detected as composite by a test based on this theorem, they are called pseudoprimes. This theorem published in 1640 states that, for all a and prime p, “a to the p is equivalent to a mod p.” For 10 points, name this theorem in number theory by a French mathematician who also names a “last” theorem. ■END■

ANSWER: Fermat’s little theorem [prompt on Fermat’s theorem; reject “Fermat’s last theorem”]
<VD, Other Science>
= Average correct buzz position

Back to tossups

Buzzes

PlayerTeamOpponentBuzz PositionValue
Swapnil GargBerkeley ABerkeley B3115
Eric ChenBerkeley PastStanford4915

Summary