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The polynomial [read slowly] x to the n plus y to the n is irreducible over the reals if and only if n is one of these numbers. (-5[1])Every known almost perfect number is one of these numbers. The cardinality of the power set of any finite set is one of these numbers. (10[1]-5[1])These numbers appear in the exponent in the formula for Fermat numbers, while Mersenne primes are defined as being one less (-5[1])than (10[1])these numbers. (10[2]-5[1])The sum (10[1])along any row of Pascal’s triangle is equal to one of these numbers. These are the only integers with no odd prime factors. In binary, these numbers consist of a one followed by all zeros. For 10 points, name these numbers which include 4, 8 and 16, (10[1])obtained by repeated multiplication by the smallest even number. ■END■ (10[3])

ANSWER: powers of two [accept two to the n; accept any letter in place of “n”; reject “second powers”]
<Editors, Other Science>
= Average correct buzz position

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Buzzes

PlayerTeamOpponentPositionValue
Cranmer McGinnMcMaster CWaterloo B25-5
Dawson TeuWaterloo AMcMaster B5010
Saju RamrajToronto IToronto G50-5
Sean GaoToronto EWaterloo C71-5
Brendan BridleQueen's AToronto B7210
James XiaoToronto AGuelph A7410
Carter YottMcMaster AToronto C74-5
Sicheng JiangToronto HToronto D7410
Samuel ZhengToronto FBrock A7610
Elena ThaiWaterloo CToronto E12310
Ethen SunToronto CMcMaster A13310
Andrew LinToronto GToronto I13310
Zack WiffenWaterloo BMcMaster C13310

Summary

TournamentEditionTUHConv. %Neg %Average Buzz
UK (North)UK580%20%64.25
UK (South)UK888%88%101.29
Northern CaliforniaUS4100%25%91.25
Southern CaliforniaUS7100%57%94.86
Eastern Canada (1)US475%25%94.33
Eastern Canada (2)US9100%44%96.44
FloridaUS4100%50%93.50
Great LakesUS1191%45%92.90
Lower Mid-AtlanticUS967%78%124.50
Upper Mid-AtlanticUS989%44%93.63
MidwestUS989%44%88.25
NorthUS4100%25%77.25
PacificUS875%63%88.67
SoutheastUS1267%50%78.75
Upstate NYUS1100%100%81.00