Prime visualisations – or what is the 67 meme
The article discusses a new visualization technique for prime numbers using 3D cubes. It highlights the significance of the number 67 in this context, as it represents the smallest cube dimension that can be completely filled with numbers when viewed from certain angles. The author, a recreational mathematician, emphasizes that while the underlying mathematics is established, the visualization tool offers a fresh perspective on prime gaps.
- ▪The visualization of prime numbers in 3D cubes reveals interesting patterns and gaps.
- ▪The number 67 is identified as the smallest cube dimension that can be fully filled when viewed from specific angles.
- ▪The author created the visualization tool using Copilot and GPT-5.4, aiming to enhance understanding of prime numbers.
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Story provenance
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Record
| Original publisher | GitHub |
| Canonical URL | https://github.com/rayking99/primestuff |
| Publication time | Sat, 16 May 2026 10:13:19 +0000 |
| Retrieval time | 2026-05-16T10:40:18.221Z |
| Last seen | 2026-05-16T10:40:18.221Z |
| Headline source | Publisher (no WeSearch rewrite) |
| Excerpt source | publisher body |
| Excerpt method | First ~120 words (~800 chars) of extracted publisher body, fair-use limited. |
| Summary | WeSearch · cerebras-chat (WeSearch summarizer) |
| Summary source text | contentText |
| Citation coverage | Summary is a WeSearch-generated derivative; primary citation is the original publisher URL. |
| Cluster | _h-qf_5mAr9c |
| Cluster logic | Grouped by semantic title/content similarity across sources within a rolling window. Same-publisher template collisions are excluded from coverage comparison. |
| Ranking reason | Story pages are not engagement-ranked. Hub feeds use recency, with optional source-diversified chronological ordering (cap consecutive stories per source). No personalized ranking. |
| Publisher visit | Yes — open original |
| Substitutes article? | No — link-out required for full text |
Rights status (four layers)
WeSearch handling by dimension
| Indexing | May the item be indexed (stored, ranked, made findable)? | Allowed |
| Snippet | May a short excerpt of the publisher's text be shown? | Allowed |
| AI summary | May WeSearch generate its own short summary of the article? | Limited |
| Retrieval / RAG | May the content be exposed for third-party retrieval-augmented generation? | Not asserted |
| Model training | May the content be used to train AI models? | Not asserted |
| Commercial reuse | May the content be reused commercially? | Not permitted |
Basis: Derived from the published RSS/Atom feed. Contact: [email protected]. Reviewed: 2026-07-24.
Opening excerpt (first ~120 words) tap to expand
primestuff I was looking at Visualization of Prime Numbers and had a thought. If you graph the primes in 3d cubes like: [ [ # PRIMES [1,2,3], # 2, 3 [4,5,6], # 5 [7,8,9] # 7 ], [ [10,11,12], # 11 [13,14,15], # 13 [16,17,18] # 17 ], [ [19,20,21], # 19 [22,23,24], # 23 [25,26,27] # - ] ] Projected onto a 2D surface and considering only the primes, this looks like. # Front [ [19,2,3], [13,5,-], [7,17,-] ] # Side [ [2,11,19], [5,13,23], [7,17,-] ] # Top [ [7,2,3], [13,11,-], [19,23,-] ] # The series of primes in the side view are: 2, 5, 7, 11, 13, 17, 19, 23 If the series is new, I will come up with a name. The longest line of primes in any direction within this graph is length 3 - [3, 5, 7]. Here's some visualisations.
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Excerpt limited to ~120 words for fair-use compliance. The full article is at GitHub.