Friendly Introduction to Number Theory 3E by Joseph H.

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Rotating a square 90 degrees and then reflecting it horizontally has the same effect as reflecting it across a diagonal, so in the language of square symmetry arithmetic, 90-degree rotation + horizontal reflection = diagonal reflection. He proved the existence of infinitely many Sierpinski numbers having the property that, e.g. (78557·2n+1) is composite number for every natural number n. It would not, for instance, be supposed, that at the time he is favouring us with the highly-wrought account of his amour with the adorable Peggie, the Chevalier Johnstone was a married man, whose grandchild is now alive, or that the whole circumstantial story concerning the outrageous vengeance taken by Gordon of Abbachie on a Presbyterian clergyman, is entirely apocryphal.

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