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Titlebook: Elements of Number Theory; John Stillwell Textbook 2003 Springer Science+Business Media New York 2003 Euclidean algorithm.number theory.pr

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21#
發(fā)表于 2025-3-25 06:09:54 | 只看該作者
22#
發(fā)表于 2025-3-25 09:43:50 | 只看該作者
Ideals,This chapter pursues the idea that a number is known by the set of its multiples, so an “ideal number” is known by a set that . a set of multiples. Such a set . in a ring . is called an ideal, and it is defined by closure under sums (. ∈ . ? . + . ∈ .) and under multiplication by all elements of the ring (. ∈ ., . ∈ . ? . ∈ .).
23#
發(fā)表于 2025-3-25 14:05:29 | 只看該作者
24#
發(fā)表于 2025-3-25 18:05:00 | 只看該作者
Bankenaufsichtsrechtliche Bestimmungene way, why 1 is . regarded as a prime—nothing is built from products of 1 except 1 itself). But even if primes are the building blocks, it is not easy to grasp them directly. There is no simple way to test whether a given natural number is prime, nor to find the smallest prime divisor of a given number.
25#
發(fā)表于 2025-3-25 21:16:37 | 只看該作者
26#
發(fā)表于 2025-3-26 03:25:04 | 只看該作者
27#
發(fā)表于 2025-3-26 04:26:36 | 只看該作者
28#
發(fā)表于 2025-3-26 09:45:06 | 只看該作者
The Pell equation,ratic Diophantine equations. The Greeks studied the special case . ? 2. = 1 because they realized that its natural number solutions throw light on the nature of .. There is a similar connection between the natural number solutions of . ? . = 1 and . when . is any nonsquare natural number.
29#
發(fā)表于 2025-3-26 14:32:41 | 只看該作者
30#
發(fā)表于 2025-3-26 20:42:50 | 只看該作者
978-1-4419-3066-8Springer Science+Business Media New York 2003
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