The Vandiver Conjecture and a New Conjecture on the Distribution of Irregular Primes
We give an introduction to the Vandiver conjecture and some related re-search in the literature.We show that A0=A2=…=A32=0,where A is the p-Sylow subgroup of the ideal class group of Q(ζp).Finally,we propose a new conjecture on the distribution of irregular primes with numerical verifications.
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