Note on class number factors and prime decompositions
نویسندگان
چکیده
منابع مشابه
Note on the Prime Number Theorem
Proof. First of all, we prove that if pn is the nth prime number then we have that pn ≤ 2 n−1 . Since there must be some pn+1 dividing the number p1p2 · · · pn− 1 and not exceeding it, it follows from the induction step that pn+1 ≤ 2 0 2 1 · · · 22n−1 = 220+21+···+2n−1 ≤ 22n . If x ≥ 2 is some real number, then we select the largest natural number n satisfying 22n−1 ≤ x, so that we have that 2 ...
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ژورنال
عنوان ژورنال: Nagoya Mathematical Journal
سال: 1977
ISSN: 0027-7630,2152-6842
DOI: 10.1017/s0027763000017797