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Packet 4: Bonus 17

This theorem was accompanied by a probably false statement that declared the margin of a book was just too small to include a proof, though it wasn’t proven for another 358 years. For 10 points each:
[10e] Name this theorem proven by Andrew Wiles in 1996. This theorem states that it is impossible to find three positive integers such that [read slowly] a to the n plus b to the n is equal to c to the n for n greater than 2.
ANSWER: Fermat’s Last Theorem [prompt on FLT or Fermat’s theorem or Fermat; reject “Fermat’s little theorem”]
[10h] Wiles proved Fermat’s Last Theorem by partially proving the Taniyama-Shimura conjecture, which related these objects to modular forms. These objects are defined by the equation “y squared equals x cubed plus a x plus b.”
ANSWER: elliptic curves [prompt on curves; reject “elliptical curves”; reject “ellipse”]
[10m] Most early attempts to prove the theorem focused on extending proofs that Fermat’s last theorem held for this female mathematician’s namesake prime numbers.
ANSWER: Sophie Germain (“ZHAIR-main”)
<Science - Math, Vikram Narasimhan> | VAULT II Packet 04

HeardPPBE %M %H %
3517.1491%46%34%

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Conversion

TeamOpponentPart 1Part 2Part 3TotalParts
Bella VistaAbbey Park100010E
Burlington TrojansNorthern100010E
RenertCheese Sandwich100010E

Summary

TournamentEditionMatchHeardPPBE %M %H %
VAULT II at Georgia Tech2026-01-24✓618.3383%50%50%
Triangle Cup2026-03-13✓210.00100%0%0%
VAULT II at Eden Prairie HS2026-03-13✓313.3367%33%33%
VAULT II at McGill2026-03-13✓310.00100%0%0%
VAULT II at UCSB2026-03-13✓422.50100%75%50%
VAULT II Northern UK2026-04-24✓110.00100%0%0%
VAULT II Southern UK2026-04-24✓210.00100%0%0%
VAULT II at Harvard2026-04-30✓220.00100%50%50%
VAULT II at MINT2026-06-19✓415.0075%50%25%
VAULT II Stanford Online2026-07-17✓822.50100%75%50%