We are all familiar with the problem of splitting numbers into products of primes. This process is called factorisation. The problem of expressing numbers as… 759 more words
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“Regular 618046320536701272583608037733434096317263320037227965361869850786715388113584129-gon is constructible with ruler compass & trisector
So is 756760676272923020551154471073240459834492063891235892290277703256956240171581788957704193-gon. 90-digit prime!
However, regular 11-gon is not constructible with ruler, compass, and angle-trisector.
The harmonic series is the expression
whose value is an infinite sum. Since the terms in the series become arbitrarily small as one goes further in (since for every positive real number and every positive integer greater than , the th term is smaller than ), one might expect the series to converge a finite value, but this is not the case—its value is actually infinite. 1,120 more words