Sophie Germain. Matemáticas. Filosofía. Física. Teoría de los números. La Hipatia del siglo XIX. Monsieur Le Blanc. Número primo de Germain. Academia de Ciencias de París. Teoría de la elasticidad. Último teorema de Fermat.

La cave-café Fluid, ouvert il y a une semaine rue Fermat à Toulouse, vient d’ouvrir avec une ambition originale : faire découvrir un large choix de boissons sans alcool, des vins désalcoolisés aux sodas botaniques et...

2は攻撃。3は防御。5は回復。カードを組み合わせて数字を作り、素数の力で戦うターン制デッキ構築ローグライト『FACTORIZE 1』の体験版。素因数分解はゲームに任せ、敵の行動を読み、今必要な数字を作り出そう。同じ手札でも、答えはひとつではない。

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2026年9月22日は、ハリウッドがシリコンバレーの手に落ちた日となった。 パラマウントとワーナーの合併に対して、カリフォルニア州司法長官のロブ・ボンタが他の11州の司法長官とともに反トラスト法違反で...

We consider the problem of deterministically factoring integers provided with oracle access to important number-theoretic functions such as Euler's Totient function - phi(.) and Carmichael's Lambda function - lambda(.). We focus on Carmichael numbers - also known as Fermat pseudoprimes. In particular, we obtain the following results: 1. Let N be a `simple' Carmichael number with three prime factors (also known as simple C_3-numbers). Then, given oracle access to lambda(.), we can completely factor N in deterministic polynomial time. 2. There exists a deterministic polynomial-time algorithm that given oracle access to phi(.), completely factors simple C_3-numbers, satisfying some `size' bounds. Although in this case our methods do not provide a theoretical guarantee for all such numbers due to the required size bounds, we show experimentally that our algorithm can factor more than 99% of all simple C_3-numbers up to 10^{13}. Our techniques extend the work of Morain, Renault, and Smith (Applicable Algebra in Engineering, Communication, and Computation, 2023), at the core of which sits the Coppersmith's method that provides an efficient way to find bounded roots of a bivariate polynomial over the integers. We combine these techniques with a new upper bound on gcd(N-1, phi(N)) for C_3-numbers, which could be of an independent interest.

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Kitada Gaku is a prodigy in Mathematics and a scholarship holder at Wels Private Academy, a renowned institution with a long history in the International…