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Regular prime
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{{Short description|Type of prime number}} {{distinguish|regular number}} {{unsolved|mathematics|Are there infinitely many regular primes, and if so, is their relative density <math>e^{-1/2}</math>?}} In [[number theory]], a '''regular prime''' is a special kind of [[prime number]], defined by [[Ernst Kummer]] in 1850 to prove certain cases of [[Fermat's Last Theorem]]. Regular primes may be defined via the [[divisibility]] of either [[class number (number theory)|class numbers]] or of [[Bernoulli number]]s. The first few regular odd primes are: : 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 41, 43, 47, 53, 61, 71, 73, 79, 83, 89, 97, 107, 109, 113, 127, 137, 139, 151, 163, 167, 173, 179, 181, 191, 193, 197, 199, ... {{OEIS|id=A007703}}.
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