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GIMPS has discovered a new largest known prime number: 2^{82589933}1 (24,862,048 digits) 2221 and 2^{2221}  2221^{2} are both prime. [Luhn] The next prime happygolucky year will be 2221. The number 2221 is simultaneously a happy number and a lucky number. The smallest prime such that if reduced by one, has 1, 2 and 3digit factors. [Gallardo] 2221 = 1^2 + 1^3 + 2^5 + 3^7 is the sum of the first 4 positive Fibonacci numbers raised to the powers of the first 4 primes. Curiously, it is concatenated from entirely Fibonacci number digits. Note that 2221 is prime. [Post] The number of positiveinteger ProximatePrime Polynomials derived from 4 successive primes under 1000000. [Capelle] The smallest Honaker prime formed by concatenating two consecutive numbers. [Loungrides] The smallest prime formed from two successive doubledigit composite numbers. [Loungrides] The smallest Honaker prime with sum of digits equal to 7. Are there any more? [Gaydos] The smallest Honaker prime with no digits greater than 2. The next one is 22221211. [Gaydos] The smallest prime of the form 2^2+2^3+2^5+2^7+2^11+1, where the exponents are consecutive palindromic primes. [Sariyar] The smallest Honaker prime with a prime index (331) whose own index is also prime (67). Note that 67 also has a prime index (19). [Homewood]
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