Bitcoin miners collect and broadcast transactions in a block and verify their validity. Then they apply a cryptographic hash function of the previous block’s header to the new block. Finally, they try ...

Number theorist Andrew Granville on what mathematics really is — and why objectivity is never quite within reach. In 2012, the mathematician Shinichi Mochizuki claimed he had solved the abc conjecture ...

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In work that has been 30 years in the making, mathematicians have proved a major part of a profound mathematical vision called the Langlands program. A group of nine mathematicians has proved the ...