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GIMPS has discovered a new largest known prime number: 2^{82589933}1 (24,862,048 digits) The number obtained by concatenating the first prime and twice the next prime. [Russo] The prime factorization of 26 uses the first three counting numbers. [Trotter] One of only two numbers which contain exactly the first three digits in its unique prime factorization. [Hunter] The number of minimal primes which cover the set of primes in base 10. [Rupinski] 26 is the smallest number that can be expressed by three identical prime digits in a prime base, i.e., 222 in base three. Note that it is also the reverse of the second such number: 62 = 222 in base 5. [Necula] 26 = 2 * prime(6). [Gupta] There are no twin primes between 26^{2} and 28^{2}. [Wesolowski] The only number n < 1000 such that 10^n plus or minus 123456789 are both primes. [Loungrides] The largest of three successive numbers n, n1, n2 such that the product of each of them with its reversal plus 1 is prime, i.e., 26*62+1=1613, 25*52+1=1301, 24*42+1=1009. [Loungrides] The number of primes that end in 3 among the first 100 primes. A greater number than endings 1, 7, or 9. [Honaker]
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