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(just those submitted by Haga)
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GIMPS has discovered a new largest known prime number: 282589933-1 (24,862,048 digits)

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 10932 + 10972 + ... + 16132 = 117072. 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, Springer-Verlag, NY, (2002 printing), with noting that 61 divides 67*71 + 1. [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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