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Just showing those entries submitted by 'Haga': (Click here to show all) There are exactly 73 primes, beginning with the prime 1093 and ending with the prime 1613, where 1093^{2} + 1097^{2} + ... + 1613^{2} = 11707^{2}. This is the first instance of a prime number of primes comprising the left member of such an equation. [Haga]The smallest prime whose digits are reversed in base 22. [Haga] The content editor of "Prime Curios!" is credited on page 73 of R. Crandall and C. Pomerance, Prime Numbers: A Computational Perspective, SpringerVerlag, NY, (2002 printing), with noting that 61 divides 67*71 + 1. Note that 61, 67, 71, and 73 are consecutive primes! [Haga] There are 73 composite numbers under 10^2. Proof: 73+25 primes = 98. There are 99 numbers under 10^2, but 1 is neither prime nor composite. This is the only instance of a prime count of composites through 10^22. [Haga]
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