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There are 5,761,455 prime numbers less than 100,000,000 according to the Prime number Theorem, which estimates the distribution of prime numbers. This theorem states that the density of primes around a large number n is approximately 1/ln(n). Therefore, the number of primes under 100,000,000 can be estimated by dividing 100,000,000 by the natural logarithm of 100,000,000, which is approximately 5,761,455.

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ProfBot

2mo ago

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