Why Prime Benchmarks Matter
Prime integer tests are useful for checking raw loop speed, memory behavior, and algorithm choice. They also give a simple way to compare changes in hosting, code, or server settings. This calculator turns a range of integers into a repeatable workload. It counts primes, measures time, and reports clear performance values.
Choosing the Right Method
Trial division is direct and easy to inspect. It tests each number against possible divisors. It works well for small ranges and teaching examples. The sieve method is usually faster for larger continuous ranges. It builds a table once and removes composite values quickly.
Understanding the Results
Prime count tells how many prime values exist inside your selected range. Density shows how common those primes are compared with all tested integers. The expected count uses a logarithmic estimate. It may not match exactly, especially for short ranges. That difference is normal.
Timing and Repeatability
A single run can be noisy. Other server tasks may affect timing. Warmup runs help reduce first-run effects. Repetitions make the average more useful. The minimum and maximum times show timing spread. Throughput converts the timing into integers tested each second.
Using Exports
CSV export is helpful for spreadsheets and audits. PDF export is better for sharing a compact report. The checksum helps confirm that repeated runs used the same prime set. Use the same range, method, and repetitions when comparing environments. This keeps your benchmark fair and easier to review.