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The probability that a prime number ... does not divide a natural number is ... . Hence, the probability that a natural number is relatively prime to all primes less than ... equals ... . Legendre proved that the large ... limit of this product is zero, meaning that the probability that a large random integer is a prime approaches zero. This Demonstration computes the probability that an integer is coprime with each of the first ... primes.

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      EUN,LOM,LRE4,work-cmr-id:262140,http://demonstrations.wolfram.com:http://demonstrations.wolfram.com/IntegersRelativelyPrimeToTheFirstNPrimes/,ilox,learning resource exchange,LRE metadata application profile,LRE

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