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HPC

2026

Γ(1/5) — 300 Billion Digits

300 billion digits, computed and verified twice

HPC node system information
300B
decimal digits
20.1 d
compute
13.3 d
verify
104
cores

Computed Γ(1/5) to 300,000,000,000 decimal digits on the UPES HPC cluster, then verified it with a second independent algorithm.

Two runs on the UPES high-performance computing cluster, using two computationally independent algorithms — Vidūnas–Lamprecht (2024) and an incomplete gamma approximation — both producing identical decimal and hexadecimal output. The hardware was an HPE Cray XD670 with two Intel Xeon Platinum 8470 sockets (104 logical cores) and 0.98 TiB of usable memory. The first run used 99.9 GiB of working memory; the second used 300 GiB. Compute took 20.1 days, verification 13.3 days. The result is listed by y-cruncher.

Log

  • 2026-07

    Both algorithms produced identical decimal and hexadecimal output.

  • 2026-07

    Listed by y-cruncher: Gamma(1/5), 300,000,000,000 digits.

Validation script comparing decimal and hexadecimal output
Independent verification