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Fibonacci Numbers

There are exactly 30 matches for fibonacci numbers among the 1,000,001 integers from 0 to 1,000,000, inclusive: 0.003% of the range. A member of the Fibonacci sequence: 0, 1, 2, 3, 5, 8…

Computed with engine art-1.0.0. Data updated: 2026-09-26 (UTC). Rules independently implemented by RNGDLE.ART.

matches30
Frequency0.003%

Number theory

Rule, exact count and rarity

The Fibonacci recurrence starts at 0 and 1, with each later term equal to the sum of the previous two. The sequence of terms contains 1 twice, but this atlas classifies integers rather than sequence positions, so each distinct value is counted once. Zero and one are included. Values grow rapidly enough that relatively few distinct Fibonacci integers fit inside the bounded range. Membership does not depend on decimal digits, although an individual Fibonacci value may also display a palindrome or another digit pattern. The engine constructs the sequence up to its maximum and tests membership in that set. Rarity weights use the count of unique qualifying integers, not the number of recurrence steps or an approximation to the sequence's growth.

The exact count, 30, 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 0.003% 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(30 / 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, with a rarity score of 1,677 and Top 0.0001%. This uses its complete score across all features, not just this pattern. Equal scores are displayed in ascending numerical order.

Example numbers

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The highest-scoring match

The highest-scoring representative is 3, with a rarity score of 1,677 and Top 0.0001%. 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 fibonacci numbers are there between 0 and 1,000,000?

There are exactly 30 matches for fibonacci numbers among the 1,000,001 integers from 0 to 1,000,000, inclusive: 0.003% of the range. A member of the Fibonacci sequence: 0, 1, 2, 3, 5, 8…

Is the repeated 1 counted twice in Fibonacci statistics?

No. The dataset counts distinct integers, so 1 contributes one match even though it appears twice in the usual Fibonacci sequence of terms.

What is the highest-scoring fibonacci numbers representative?

The highest-scoring representative is 3, with a rarity score of 1,677 and Top 0.0001%. This uses its complete score across all features, not just this pattern. Equal scores are displayed in ascending numerical order.

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