New A.I. Finds Hidden Patterns In Numbers
A new artificially intelligent "Ramanujan Machine" can generate hundreds of new mathematical conjectures, which might lead to new math proofs and theorems.
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00:00 A new artificial intelligence-based computer program called the Ramanujan machine
00:05 could help reveal hidden relationships between numbers.
00:08 The machine, named after the iconic Indian mathematician Srinivasa Ramanujan,
00:14 enables the discovery of new mathematical propositions called conjectures
00:19 that have a good chance of being true.
00:21 The AI program scans a huge range of possible mathematical formulas,
00:26 looking for patterns that might hint at new formulas for mathematical constants.
00:32 Constants are numbers, like pi, that always have the same value
00:36 and can be used across multiple equations.
00:39 The Ramanujan machine has uncovered more than a hundred intriguing conjectures so far.
00:45 Some, like these two showing a way to express the constants e and pi, have been proved.
00:52 Most are still awaiting proof.
00:55 This conjecture has to do with the Riemann zeta function, evaluated at the number 3.
01:01 The Riemann zeta function is at the center of what is considered by many
01:05 to be the biggest unsolved problem in mathematics,
01:09 the Riemann hypothesis, which offers a $1 million prize for whoever solves it.
01:16 The algorithm's new conjectures are on RamanujanMachine.com,
01:20 where anyone can take a stab at proving whether they are true,
01:24 and thus turning the conjectures into brand new mathematical theorems.
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