Patterns /Repetition

Numbers Built From Two Digits

These numbers use only two different digits across four or more places, like 9119 or 303033. The whole number is drawn from a two-symbol alphabet.

Matches in range
4,294
Share of all numbers
1 in 233
Out of
1,000,001

How long might numbers built from two digits take?

1 in 232.9 per roll · 233 rolls on average.

At one daily specimen a day, the mean is about 0.6 years. A 50% chance takes 162 rolls; 90% takes 536.

7 daily rolls

2.97%

30 daily rolls

12.11%

365 daily rolls

79.21%

12.11% 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.

Find numbers with this pattern →

Restricting a six-digit number to two symbols cuts the available combinations dramatically — from a million arrangements down to a few dozen per digit pair. That collapse is exactly what the count above measures.

This trait is about vocabulary rather than structure. It does not care whether the two digits alternate, cluster or scatter; alternation is picked up separately by the ABAB and alternating-parity traits.

Two-digit numbers in this sense frequently overlap with palindromes and ABAB patterns. Since those live in other groups, a number like 101101 collects contributions from several directions at once.

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