Factoring pseudoprimes
Fermat’s little theorem says that if p is a prime number, then for any positive integer b < p we hve bp-1 = 1 (mod p). This theorem gives a necessary but not sufficient condition for a number to be prime. Fermat’s primality test The converse of Fermat’s little theorem
Read moreBuilding a PDF larger than the known universe
On this home team episode: Massachusetts makes a welcome shift toward skills-based hiring, AI-generated content robs us of our appetite for mac and cheese, and large-scale crypto mining operations account for more than 2% of the US’s electricity generation. Plus: A PDF quite a bit bigger than Germany.
Read moreDo comments in a LaTeX file change the output?
When you add a comment to a LaTeX file, it makes no visible change to the output. The comment is ignored as far as the appearance of the file. But is that comment somehow included in the file anyway? If you compile a LaTeX file to PDF, then edit it
Read moreYour PDF may reveal more than you intend
When you create a PDF file, what you see is not all you get. There is metadata embedded in the file that might be useful. It also might reveal information you’d rather not reveal. The previous post looked at just the time stamp on a file. This post will look
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