Patterns /Repetition
Numbers With One Repeated Digit
The mildest form of repetition: exactly one digit appears twice, and every other digit is distinct — as in 1231 or 405067.
How long might numbers with one repeated digit take?
1 in 2.2 per roll · 2 rolls on average.
At one daily specimen a day, the mean is about 0 years. A 50% chance takes 2 rolls; 90% takes 4.
7 daily rolls
98.62%
30 daily rolls
100.00%
365 daily rolls
100.00%
100.00% chance of at least one match in 30 independent rolls.
Waiting times are averages, not deadlines. Previous misses do not increase the next roll’s chance. Only Daily Specimens stamp your Atlas.
This is the most common repetition pattern in the range, and the count above makes that plain. A single coincidental match between two digits is close to what random chance predicts, which is why it carries so little information.
Its value in the scoring system is mostly as a floor. A number whose only claim is one repeated pair will not climb far, and seeing that reflected in the score is a useful check that the algorithm is not inflating ordinary numbers.
The birthday problem is the intuition here: once a number has five or six digits drawn from ten values, at least one collision becomes more likely than not.
Highest-scoring examples
The best-scoring numbers of four digits or more that carry this pattern. Shorter numbers are excluded here because their length alone dominates any score ranking.
Smallest examples
The first numbers in the range that match this pattern.
Related repetition patterns
Repeating Digit Numbers
A repdigit is a number whose digits are all the same, such as 7, 77, 777 or 444444. They are among the rarest visual patterns because every digit is locked to one value.
Five or More of One Digit
Five of a kind: one digit appears at least five times in the number, as in 888880 or 292222. Only six-digit numbers can reach this without being a full repdigit.
Quadruple Digits
A quadruple number contains exactly four copies of one digit, like 4441 or 727772. Four of a kind is the point where repetition stops looking like coincidence.
Triple Digits
A triple contains exactly three copies of one digit, such as 8188 or 636306. It is the most common form of strong repetition — and the first one most people notice.
Double Pair Numbers
A double pair has two different digits appearing twice each, like 3388 or 271721. It is the digit equivalent of two pair in poker.