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, 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 (-5[1])pseudoprimes. This theorem published in 1640 (10[1])states that, for all a and prime p, (-5[1])“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■ (10[2])

ANSWER: Fermat’s little theorem [prompt on Fermat’s theorem; reject “Fermat’s last theorem”]
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Buzzes

PlayerTeamOpponentBuzz PositionValue
Ragylan SivakumarMITHarvard3115
Michael ZhengAmherstYale89-5
Issac OjutomoriTufts BBowdoin A9510
Christopher DechBrandeis ATufts A103-5
Michael SunBrandeis BBoston College A13310
Yixi YangYaleAmherst13310

Summary