Aydın Tiryaki and Gemini AI
In this large-scale experiment, where we measure the mathematical reasoning and content generation capacities of different AI models, we are now moving to the audit phase. We will subject the articles prepared by 11 different models (Gemini, ChatGPT, Claude, Grok, Mistral, DeepSeek, Copilot, Perplexity, Meta, Kimi, Qwen) to a cross-examination through the eyes of an AI analyst. This process will reveal not only the digital intelligence’s ability to produce information but also its capacity to audit that information.
Analysis Methodology and Auditing Tool
The Meta-Analysis Prompt to be used in this phase is designed to evaluate the performance of the models from both quantitative (character count, statistical data) and qualitative (logical consistency, anomaly detection) perspectives. This command set has been structured in paragraphs and stripped of list markers to prevent copying and transfer errors.
Meta-Analysis Master Prompt
You are an artificial intelligence with the characteristics of an expert data analyst and science editor. I want you to compare the articles on Fibonacci and Prime Numbers, written by 11 different AI models that I will provide, based on specific criteria and present a comprehensive meta-analysis report.
Quantitative Numerical Analysis
Calculate the total character count (including spaces) of each article. Create a side-by-side table for the limits of 1,000, 1,000,000, and 1,000,000,000 showing the total number of primes, total Fibonacci numbers, and the intersection (Fibonacci primes) provided by each model. Determine if there is a consensus among the models or if they contradict each other regarding these numbers.
Qualitative Content and Instruction Compliance
Identify which models were able to independently find the n=4 exception and deviation points like F19, where the index is prime but the result is not, as mentioned in the original prompt. Examine which model explained the primality relationship between the index and the Fibonacci number in a more technical and satisfying way. Compare the depth of explanations regarding the history of Fibonacci and the growth rates of the sequences, specifically the differences between exponential and logarithmic growth.
Compliance with Technical Rules
Audit which models complied with the rule of not using LaTeX and which ones violated it. Select the most successful model in terms of table usage, subheadings, and readability (scannability). Note the models that fully provided the mandatory closing section including the model name, date, time, and working mode.
Conclusion and Evaluation
Identify the most successful article overall, considering all criteria such as accuracy, depth, and compliance with rules. List the models that made clear mathematical errors or hallucinations and the specific mistakes they made. I request that you present your analysis in clear and understandable Turkish, using comparative tables and a concluding section summarizing the performance of each model.
Sources to be Analyzed: Turkish Articles
https://aydintiryaki.org/2026/02/12/sayilarin-dansi-fibonacci-ve-asallarin-kesistigi-nadir-dunya/ https://aydintiryaki.org/2026/02/12/yapay-zeka-meta-analizi-adim-adim-insa-ve-tersine-muhendislik-yoluyla-kesif-promptu/ https://aydintiryaki.org/2026/02/12/sayilarin-dansi-fibonacci-dizisi-ve-asal-sayilar-arasindaki-kesisimi-gemini/ https://aydintiryaki.org/2026/02/12/fibonacci-dizisi-ile-asal-sayilar-arasindaki-iliski-chatgpt/ https://aydintiryaki.org/2026/02/12/fibonacci-dizisi-ve-asal-sayilar-arasindaki-iliski-kapsamli-bir-analiz-claude/ https://aydintiryaki.org/2026/02/12/fibonacci-dizisi-ve-asal-sayilar-arasindaki-iliski-grok/ https://aydintiryaki.org/2026/02/12/fibonacci-dizisi-ve-asal-sayilar-arasindaki-iliski-kapsamli-bir-analiz-mistral/ https://aydintiryaki.org/2026/02/12/fibonacci-ve-asal-sayilar-matematiksel-bir-kesisim-analizi-deepseek/ https://aydintiryaki.org/2026/02/12/fibonacci-dizisi-ile-asal-sayilar-arasindaki-iliski-uzerine-kapsamli-inceleme-copilot/ https://aydintiryaki.org/2026/02/12/fibonacci-dizisi-ve-asal-sayilar-arasindaki-iliski-perplexity/ https://aydintiryaki.org/2026/02/12/fibonacci-dizisi-ve-asal-sayilar-matematiksel-bir-dans-meta/ https://aydintiryaki.org/2026/02/12/fibonacci-dizisi-ve-asal-sayilar-kesisen-yorungeler-kimi/ https://aydintiryaki.org/2026/02/12/fibonacci-dizisi-ile-asal-sayilar-arasindaki-iliski-bir-matematiksel-karsilastirma-qwen/
Sources to be Analyzed: English Articles
https://aydintiryaki.org/2026/02/12/the-dance-of-numbers-the-rare-world-where-fibonacci-and-primes-intersect/ https://aydintiryaki.org/2026/02/12/ai-meta-analysis-step-by-step-construction-and-the-discovery-prompt-via-reverse-engineering/ https://aydintiryaki.org/2026/02/12/the-dance-of-numbers-the-intersection-of-the-fibonacci-sequence-and-prime-numbers-gemini/ https://aydintiryaki.org/2026/02/12/the-relationship-between-fibonacci-numbers-and-prime-numbers/ https://aydintiryaki.org/2026/02/12/the-relationship-between-the-fibonacci-sequence-and-prime-numbers-a-comprehensive-analysis-claude/ https://aydintiryaki.org/2026/02/12/the-relationship-between-the-fibonacci-sequence-and-prime-numbers-grok/ https://aydintiryaki.org/2026/02/12/the-relationship-between-the-fibonacci-sequence-and-prime-numbers-a-comprehensive-analysis-mistral/ https://aydintiryaki.org/2026/02/12/fibonacci-and-prime-numbers-a-comprehensive-analysis-of-the-mathematical-intersection-deepseek/ https://aydintiryaki.org/2026/02/12/a-comprehensive-study-on-the-relationship-between-the-fibonacci-sequence-and-prime-numbers-copilot/ https://aydintiryaki.org/2026/02/12/the-relationship-between-the-fibonacci-sequence-and-prime-numbers-perplexity/ https://aydintiryaki.org/2026/02/12/the-fibonacci-sequence-and-prime-numbers-a-mathematical-dance-meta/ https://aydintiryaki.org/2026/02/12/fibonacci-numbers-and-prime-numbers-intersecting-trajectories-kimi/ https://aydintiryaki.org/2026/02/12/fibonacci-sequence-and-prime-numbers-a-mathematical-relationship-analysis-qwen/
| aydintiryaki.org | YouTube | Aydın Tiryaki’nin Yazıları ve Videoları │Articles and Videos by Aydın Tiryaki | Bilgi Merkezi│Knowledge Hub | ░ “Yapay Zeka” ve “Fibonacci ve Asalların Kesiştiği Nadir Dünya” │ AI and “The Rare World Where Fibonacci and Primes Intersect” ░ 12.02.2026
A Note on Methods and Tools: All observations, ideas, and solution proposals in this study are the author’s own. AI was utilized as an information source for researching and compiling relevant topics strictly based on the author’s inquiries, requests, and directions; additionally, it provided writing assistance during the drafting process. (The research-based compilation and English writing process of this text were supported by AI as a specialized assistant.)
Aydın Tiryaki 