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List of prime numbers
A prime number (or a prime) is a natural number greater than 1 that has no positive divisors other than 1 and itself. By Euclid's theorem, there are an infinite number of prime numbers. Subsets of the prime numbers may be generated with various formulas for primes. The first 500 primes are listed below, followed by lists of notable types of prime numbers in alphabetical order, giving their respective first terms.
== The first 500 prime numbers ==
The following table lists the first 500 primes, 20 columns of consecutive primes in each of the 25 rows.
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The Goldbach conjecture verification project reports that it has computed all primes below 4×10.〔Tomás Oliveira e Silva, (Goldbach conjecture verification ). Retrieved 16 July 2013〕 That means 95,676,260,903,887,607 primes (nearly 10), but they were not stored. There are known formulae to evaluate the prime-counting function (the number of primes below a given value) faster than computing the primes. This has been used to compute that there are 1,925,320,391,606,803,968,923 primes (roughly 2) below 10. A different computation found that there are 18,435,599,767,349,200,867,866 primes (roughly 2) below 10 if the Riemann hypothesis is true.
抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』
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