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Sister Assumpta lectures 66 students on number theory. One day, she asked them to number themselves from 1 to 66 and then form 33 pairs such that the sum of the numbers assigned to...
Squares, high and low Let p be an odd prime number. Then half the numbers from 1 through p − 1 are squares and half are not. That is, for half of numbers 1 ≤ k < p, the equation...
A solution to part of the Cohen-Lenstra conjecture helps resolve a long-standing mystery about quadratic forms
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