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
A digit pair is a decimal symbol occurring exactly twice, regardless of where its positions fall. This category requires at least two such pairs and forbids any symbol from occurring three or more times. Two pairs are not the only possibility: a six-digit number using three digits twice each also matches. Extra single-occurrence digits are allowed as long as the length and range permit them. The category differs from an adjacent pair rule; 1212 and 1122 have the same frequency profile even though their layouts differ. It also differs from a full repdigit, whose single repeated symbol does not supply two distinct pairs. The classification is a precise counting convention used by this engine.
The exact count, 223,803, 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 22.380278% 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(223,803 / 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 3,003, with a rarity score of 1,225 and Top 0.0015%. 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 3,003, with a rarity score of 1,225 and Top 0.0015%. 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 multiple digit pairs are there between 0 and 1,000,000?
There are exactly 223,803 matches for multiple digit pairs among the 1,000,001 integers from 0 to 1,000,000, inclusive: 22.380278% of the range. At least two pairs, with no digit appearing more than twice.
Do three pairs count as multiple digit pairs?
Yes. The requirement is at least two pairs, with no digit appearing more than twice. A number such as 112233 has three pairs and qualifies.
What is the highest-scoring multiple digit pairs representative?
The highest-scoring representative is 3,003, with a rarity score of 1,225 and Top 0.0015%. This uses its complete score across all features, not just this pattern. Equal scores are displayed in ascending numerical order.