DeepSeekMath-V2 is a large-scale mathematical reasoning model that shifts AI from “guessing the final answer” to producing verifiable, step-by-step proofs. The system combines a Verifier (scores rigor/omissions/fatal flaws), a Meta-Verifier (prevents hallucinated issues and boosts faithfulness), and a Proof Generator trained with verifiable rewards (RLAIF). Together they form an iterative improvement loop that reduces false reasoning while increasing proof quality. The video explains why math is a gold-standard benchmark (precision, logical soundness), how DeepSeekMath-V2 targets common flaws in prior math LLMs (correct answer ≠ correct reasoning), how test-time compute scaling explores multiple proof candidates and multiple verification passes, and why this approach yields strong results on proof-style benchmarks (e.g., IMO-like tasks). It also shows a professional prompt-engineering template—define objectives, output format, evaluation rubric, fallback plan, and model self-review—that you can reuse for coding/math research. Practical value spans formal software verification, secure system design, cryptography, and scientific R&D where claims must be provably correct.