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Bill Gates has a published mathematics paper. As a Harvard undergraduate he co-wrote “Bounds for Sorting by Prefix Reversal” (1979) on the “pancake sorting” problem with professor Christos Papadimitriou — and the bound he proved stood as the best known for roughly 30 years.

Source: Discrete Mathematics, vol. 27 (1979)All facts

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MSFT · All filings

MICROSOFT CORP 10-K

Filed 2023-07-27 · Original on SEC.gov

This filing is not readable here.

9.5MB exceeds the 8MB limit. The filing itself is fine — this is a limit on our side, not a problem with the document. Read it on SEC.gov.

Attached exhibits

EX-21 · Subsidiaries EX-23.1 · Auditor consent