MMRF v1.0

A prime dataset defined by what it will not answer.

Every number below comes from a frozen, hash-covered dataset, and every figure on this site is regenerated from that dataset rather than typed in. The interesting part is the other half: the questions this infrastructure is built to decline.

crosses the boundary

a density
a quantile
a histogram
a count
a manifest hash
an audit event

never crosses

a target integer
an RSA modulus
a factor
a factor candidate
a narrowed range
a prime list

The guard runs before the data layer. A refused request costs nothing, reads nothing, and is still recorded.

What is published

One dataset generation, frozen. 148,933 prime records covering [0, 2,000,000), stored as 20 immutable columnar shards under a single manifest hash. Appending a range never rewrites a prior shard.

Release: MMRF-1.0.0
Prime records: 148,933
Shards: 20 × immutable NPZ
Range: [0, 2,000,000)
Columns: 10
Stable manifest: a5caea22a57efaac915c00dd92c655b1126e0b6d9b2b93790e48bc167733e0d1

The query surface is aggregate-only

There are seven permitted operations. Each returns a statistic over a shard range — a density, a quantile, a histogram, a count. None returns a prime, a list of primes, or anything conditioned on a number you supply.

dataset_metadata
interval_density
gap_quantiles
gap_histogram
residue_distribution
family_counts
workflow_replay

Seventeen request fields are refused by name before the request is parsed further. The guard runs ahead of the data layer, so a refused query never reaches a shard — it costs cost_units: 0 and produces a hashed audit event anyway.

n
integer
target
modulus
rsa_modulus
public_key
private_key
factor
factors
candidate
candidates
range_narrowing
nearest_prime
prime_list
exact_primes
source_integer
source_factor_relation

Measured, not asserted

The four aggregates below were computed from the shipped shards on this machine, not copied from the release notes. The full output, its hash, and the script that produced it are on the research page.

0.074467prime density over the range

132largest gap between consecutive primes

14,871twin prime pairs

114spread across the eight residues mod 30

That last figure is the one worth pausing on. Across the eight residue classes coprime to 30, the counts differ by only 114 out of roughly 18,616 each — primes are distributed almost perfectly evenly among the classes they are allowed to occupy.

Start here

Dataset v1.0Schema, columns, manifest hash, provenance, promotion receipt, citation.Verify it yourselfTwo commands reproduce the manifest hash and check all twenty shards.The refusal boundaryWhat is permanently outside the public surface, and why that is the design.

Citation

EveMissLab Technology Co., Ltd.. MMRF Public Prime Lake Schema 0.9. MMRF dataset MMRF-DATASET-73015C5329AE7190; manifest 73015c5329ae71900ef3f4aca7f35152f3d96a435e65e3bddbd1ae513d597420.