Mathematics benchmark
RiemannBench (no tools) leaderboard
RiemannBench without tools. Every model the catalog carries a published RiemannBench (no tools) value for, ranked by that value.
CategoryMathematics
MeasureAccuracy without tools
Tasks25 private research-level mathematics problems
DifficultyResearch mathematics
Published byClaude Opus 5 System Card
Research-level mathematics problems with unique programmatically verified closed-form answers.
RiemannBench (no tools) ranking
1 model with a published RiemannBench (no tools) value, ordered by that value, highest first. Models the source has not scored on this benchmark are not listed — they are unmeasured, not last.
| Rank | Model | Provider | Accuracy without tools |
|---|---|---|---|
| 1 |  Claude Opus 5 | Anthropic | 60.0 |
Evidence key: Observed
Rows are ordered by the value Claude Opus 5 System Card published, highest first. The source does not state whether a higher value is the better result, so this page does not either: for a benchmark that measures a rate of failure, read the table from the bottom.