Exact numerator of the Bernoulli number B_42,447,346 associated with the fifth known Lerch prime p = 42,447,347.
B_42,447,346 = N / 254,684,082 = N / (6p).
- Numerator digits: 271,466,759
- Compression: Zstandard (
.zst) - Compressed size: approximately 127 MiB
- SHA-256 of compressed file:
ece1fd0b0da0c885ba777d8b6b20dce5772d9f289c738bd820cd8c66f606f4a7 - SHA-256 of decompressed numerator text:
d662c38e8f7e727a60079f76c9c697abbabfdb6db47ced26d80b69d15ced23d9
Verified congruence:
42,447,347 B_42,447,346 ≡ 49,628,251,800,410,944,737,487 (mod 42,447,347^3)
The exact computation used FLINT 3.0.1 and was checked with an independent streaming audit. Reproduction code and compact evidence are in pull request #1.
To decompress:
zstd -d B_42447346.numerator.txt.zst