1 - 1/3² + 1/5² - … は有理数か？
Published October 12, 2026
At a glance
Views
168,792
Likes
2,054
Comments
104
Performance vs. channel
All-time outlier score
Engagement rate
More features coming
We're working on new analytics and tools. Stay tuned.
About
G = 1 - 1/3² + 1/5² - 1/7² + … = 0.9159… はカタラン定数と呼ばれます。G が無理数かどうかは長く未解決でしたが、OpenAI が公開した論文がこれを証明しました（未査読ですが、主定理は Lean で形式化されています）。 証明では、成分が「有理数 + 有理数 × G」の形の巨大な行列 (n = 48N 次) を作り、その行列式 Δ を物差し L = log|Δ| / n² - (1/2) log 2 で測ります。G が有理数なら L は -2.29084 より下にならないのに対し、積分による評価では L は -2.29093 より小さくなるので、矛盾します（正確には、N を大きくしたときの極…
- Published
- October 12, 2026
- Made for kids
- No
More features coming
We're working on new analytics and tools. Stay tuned.
How 1 - 1/3² + 1/5² - … は有理数か？ is doing
It has 168K views in total. It ranks #10,720,880 among tracked YouTube videos by views.
Key facts about 1 - 1/3² + 1/5² - … は有理数か？
- Total views
- 168K
- Total likes
- 2.05K
- Total comments
- 104
- Published
- October 12, 2026
- Global rank by views
- #10,720,880
Frequently asked questions
How many views does 1 - 1/3² + 1/5² - … は有理数か？ have?
1 - 1/3² + 1/5² - … は有理数か？ has 168,792 views, 2,054 likes and 104 comments, ranking #10,720,880 among tracked YouTube videos by views.
How accurate are these YouTube video analytics?
View, like, and comment counts come from YouTube's public API and refresh regularly. Growth and revenue figures are estimates built from tracked historical data, so they can differ slightly from what the creator sees privately in YouTube Studio.
What is the outlier score?
How this video's views compare to the channel's usual Shorts or long-form video. A 2x score means double the usual views for that channel, 0.5x means half.
What is engagement rate and how is it calculated?
Likes and comments per view, compared to this channel's typical engagement rate — shown as above or below what's usual for the channel.
How is the revenue estimate calculated?
It's a rough public estimate based on a $0.7–$2.0 CPM (revenue per 1,000 views) applied to view count — not actual creator earnings, which depend on ad rates, audience geography, and monetization settings YouTube doesn't expose publicly.
Is this YouTube video analytics checker free?
Yes. You get 10 free channel and video analytics lookups per 24 hours without an account — logging in, which is also free, removes that limit entirely.