🔭 Anthropic 刚开源了 fermats-last-theorem 这个仓库，把费马大定理的完整证明写成了机器能逐行验证的代码。 用的是 Lean 4.33.1 加 Mathlib，从零跑一次构建编译了 60475 个模块，每一条声明都过了 Lean 内核检查，按 Apache 2.0 协议放出来。 数学证明这件事，过去只能靠人读、靠同行评议。一篇几百页的论文，谁能担保第三百页某个引理没藏着漏洞？费马大定理这种量级的，全世界能完整读懂的人本来就没几个。 fermats-last-theorem 把整条证明路线，也就是 Frey、Serre、Ribet、Wiles 和 Taylor-Wiles 那一串论证，全部翻译成 Lean 代码交给机器检查。默认构建目标里带一道公理审计：整个证明只允许依赖 propext、Classical.choice、Quot.sound 这三条 Lean 标准公理，不许出现 sorry，不许偷偷加公理，不许用 native_decide。团队还找了两个独立检查器复核，leanprover 的 comparator 给的结论是“Your solution is okay!”，Rust 写的第三方 Lean 内核 nanoda 报告“Checked 1052234 declarations with no errors”。 代价也明明白白摆着：完整构建用 96 个并行任务跑了 5 小时 32 分，峰值内存 153 GB；comparator 那一遍又跑了 14 小时 46 分，峰值 230 GB。仓库另附一个 390 MB 的静态网页版，两万九千多个定理页面可以点着看。 要说明的是，这是一次性的研究产物，官方写明不再维护、不接受贡献。 好在证明写完就不会变了，这大概是少数几种真的不需要维护的代码。 GitHub：

美女看多了会不会审美疲劳呀 ❓😮‍💨 这个美女还可以不😄 GPT- image 2 prompt 👇 Create a photorealistic 9:16 full-body smartphone portrait of an exceptionally beautiful adult East Asian woman in her mid-20s, standing in a modern apartment living room. She has a delicate oval face, large almond-shaped dark-brown eyes, subtle pink eye makeup, rosy cheeks, a small straight nose and softly parted glossy pink lips. Her expression is cute, slightly surprised and quietly confident as she looks directly into the camera. She has shoulder-length straight dark-brown hair with a natural side part and loose strands framing her cheeks. Her head is completely uncovered: no hat, cap, headband or hair accessories. She has a slim yet dramatically curvy hourglass figure with a full bust, narrow waist, rounded hips and thick shapely thighs. She wears a fitted pastel-pink halter mini dress made from opaque stretch fabric, with a low rounded neckline, small gold buttons, high-cut side openings at the waist and a tightly ruched mini skirt with long adjustable drawstrings. Add a delicate silver pendant necklace, a thin bracelet and a decorative white satin bow garter around one thigh. Recreate the pose: she leans slightly toward the camera with her chest lifted and hips shifted to one side. Both elbows angle outward; one hand rests firmly on her waist while the other lightly grips the side of the ruched skirt. Frame her from the top of her uncovered head to just below the knees. The setting is a bright modern living room with a beige sofa, neutral walls, a large framed landscape painting, recessed ceiling lights and a softly cluttered ottoman. Cool bluish daylight mixes with warm indoor light, creating subtle blue and pink reflections on her dress and skin. Casual social-media smartphone photography, slight wide-angle perspective, natural skin texture, realistic fabric tension and folds, mild phone-camera softness. No anime, no plastic skin, no exaggerated facial proportions, no distorted hands, no extra fingers, no text, logo or watermark.