A new proof about prime numbers illuminates the subtle relationship between addition and multiplication — and raises hopes for progress on the famous abc conjecture. One morning last November, the ...

For centuries, prime numbers have captured the imaginations of mathematicians, who continue to search for new patterns that help identify them and the way they're distributed among other numbers.

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A new mathematical framework, built on a branch of number theory called adelic analysis, has produced a complete proof of the ...

What are the prime factors, or multipliers, for the number 15? Most grade school students know the answer -- 3 and 5 -- by memory. A larger number, such as 91, may take some pen and paper. An even ...

Results from the latest round, factoring a record-setting 167-digit number, may help simplify some mathematical theorems and help scientists develop secret codes for computer security. "The fact that ...

Computing prime factors may sound like an elementary math problem, but try it with a large number, say one that contains more than 600 digits, and the task becomes enormously challenging and ...

Researchers report that they have designed and built a quantum computer from five atoms in an ion trap. The computer uses laser pulses to carry out Shor's algorithm on each atom, to correctly factor ...