Dirichlet prime
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In mathematics, a prime number p is called a Dirichlet prime if p is in the form 3n + 1. [citation needed] The first few Dirichlet primes are
- 7, 13, 19, 31, 37, 43, 61
Dirichlet proved in 1835 that there are infinitely many primes in any relatively prime arithmetic progression (Dirichlet's theorem). Using special case of Dirichlet's theorem on primes in arithmetic progressions, it can be proven there are infinitely many Dirichlet primes [1].