Solution to Project Euler problem 97
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! Copyright (c) 2008 Aaron Schaefer.
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! See http://factorcode.org/license.txt for BSD license.
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USING: math math.functions ;
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IN: project-euler.097
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! http://projecteuler.net/index.php?section=problems&id=97
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! DESCRIPTION
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! -----------
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! The first known prime found to exceed one million digits was discovered in
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! 1999, and is a Mersenne prime of the form 2^6972593 − 1; it contains exactly
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! 2,098,960 digits. Subsequently other Mersenne primes, of the form 2p − 1,
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! have been found which contain more digits.
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! However, in 2004 there was found a massive non-Mersenne prime which contains
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! 2,357,207 digits: 28433 * 2^7830457 + 1.
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! Find the last ten digits of this prime number.
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! SOLUTION
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! --------
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: euler097 ( -- answer )
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2 7830457 10 10 ^ ^mod 28433 * 10 10 ^ mod 1+ ;
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! [ euler097 ] 100 ave-time
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! 0 ms run / 0 ms GC ave time - 100 trials
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MAIN: euler097
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@ -13,8 +13,8 @@ USING: definitions io io.files kernel math math.parser project-euler.ave-time
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project-euler.033 project-euler.034 project-euler.035 project-euler.036
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project-euler.033 project-euler.034 project-euler.035 project-euler.036
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project-euler.037 project-euler.038 project-euler.039 project-euler.040
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project-euler.037 project-euler.038 project-euler.039 project-euler.040
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project-euler.041 project-euler.042 project-euler.048 project-euler.052
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project-euler.041 project-euler.042 project-euler.048 project-euler.052
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project-euler.067 project-euler.075 project-euler.134 project-euler.169
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project-euler.067 project-euler.075 project-euler.097 project-euler.134
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project-euler.173 project-euler.175 ;
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project-euler.169 project-euler.173 project-euler.175 ;
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IN: project-euler
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IN: project-euler
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<PRIVATE
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<PRIVATE
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