Computed with engine art-1.0.0. Data updated: 2026-09-26 (UTC). Rules independently implemented by RNGDLE.ART.
Repetition
Rule, exact count and rarity
This category has one decimal digit appearing exactly twice and every remaining digit appearing once. No digit can occur three times, and a second pair would move the number into the multiple-pairs category. The two matching positions can be adjacent or separated, so the definition depends only on digit frequencies. Two-digit repdigits are specifically excluded because the whole number would otherwise be one repeated symbol; at least one different digit must be present. This makes 101 a match but excludes 11 and 111. The pattern is relatively broad compared with complete repetition or strict sequences, because many arrangements preserve the same single-pair frequency profile without satisfying any other visible structure.
The exact count, 457,731, comes from evaluating all 1,000,001 integers from 0 through 1,000,000, including both endpoints. It is not a sample or an estimate. Each matching integer is counted once for this category, even if it contains multiple qualifying segments. Its frequency of 45.773054% describes the chance that a uniformly chosen integer passes this one test. It is not the global score percentile of every member, and overlapping pattern counts must not be added as if they represented disjoint sets.
The pattern supplies −log₂(457,731 / 1,000,001) bits before its within-family weight is applied. Other matched patterns, digit sum, distinct-digit count and short-length signals can change the complete score. Consequently, members of this category need not share a ranking. The highest-scoring representative is 313, with a rarity score of 1,023 and Top 0.0031%. This uses its complete score across all features, not just this pattern. Equal scores are displayed in ascending numerical order.
Example numbers
ExploreThe highest-scoring match
The highest-scoring representative is 313, with a rarity score of 1,023 and Top 0.0031%. This uses its complete score across all features, not just this pattern. Equal scores are displayed in ascending numerical order.
Frequently asked questions
How many exactly one repeated digit pair are there between 0 and 1,000,000?
There are exactly 457,731 matches for exactly one repeated digit pair among the 1,000,001 integers from 0 to 1,000,000, inclusive: 45.773054% of the range. Exactly one pair; every other digit appears once. Two-digit repdigits are excluded.
Why is 101 a one-pair number but 11 is not?
101 contains one pair of 1s and a distinct 0. The engine excludes full repdigits such as 11 from this category.
What is the highest-scoring exactly one repeated digit pair representative?
The highest-scoring representative is 313, with a rarity score of 1,023 and Top 0.0031%. This uses its complete score across all features, not just this pattern. Equal scores are displayed in ascending numerical order.