

n is a natural number (including 0) in the definitions. More details are in the article for the name. Lists of primes by typeīelow are listed the first prime numbers of many named forms and types. A different computation found that there are 18,435,599,767,349,200,867,866 primes (roughly 2 ×10 22) below 10 24, if the Riemann hypothesis is true. There are known formulae to evaluate the prime-counting function (the number of primes below a given value) faster than computing the primes. The Goldbach conjecture verification project reports that it has computed all primes below 4×10 18. The following table lists the first 1000 primes, with 20 columns of consecutive primes in each of the 50 rows. 2.30.5 Other generalizations and variations.

2.12.1 Euler ( p, p − 3) irregular primes.2.9 Eisenstein primes without imaginary part.
