Regular Prime
22,99 €
inkl. MwSt.

Versandfertig in 6-10 Tagen
payback
11 °P sammeln
  • Broschiertes Buch

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In number theory, a regular prime is a prime number p 2 that does not divide the class number of the p-th cyclotomic field. Ernst Kummer (Kummer 1850) showed that an equivalent criterion for regularity is that p does not divide the numerator of any of the Bernoulli numbers Bk for k = 2, 4, 6, , p 3. Kummer was able to prove that Fermat''s last theorem holds true for regular prime exponents. The first few regular primes are: 3, 5, 7, 11, 13, 17, 19, 23, 29, ...…mehr

Andere Kunden interessierten sich auch für
Produktbeschreibung
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In number theory, a regular prime is a prime number p 2 that does not divide the class number of the p-th cyclotomic field. Ernst Kummer (Kummer 1850) showed that an equivalent criterion for regularity is that p does not divide the numerator of any of the Bernoulli numbers Bk for k = 2, 4, 6, , p 3. Kummer was able to prove that Fermat''s last theorem holds true for regular prime exponents. The first few regular primes are: 3, 5, 7, 11, 13, 17, 19, 23, 29, ... (sequence A007703 in OEIS). It has been conjectured that there are infinitely many regular primes. More precisely Siegel conjectured (1964) that e 1/2, or about 61%, of all prime numbers are regular, in the asymptotic sense of natural density. Neither conjecture has been proven as of 2010[update].