Ten Digits, Nearly Even Shares: Why This Snapshot Is Useful
In a perfectly even 1,000-digit split, each digit would appear 100 times. This sample stays close to that center while still showing real spread from random fluctuation. This demonstrates that "roughly uniform" does not mean "exactly equal" in finite samples.
What Changes As You Count More Digits of Pi?
As sample size grows, relative gaps usually shrink and frequencies tend to stabilize around equal shares, but short-run streaks and imbalances still happen. If you extend this from 1,000 digits to larger windows, the headline pattern should remain near-uniform while individual digit rankings can still reshuffle.
Digit 0 - 93 out of 1,000
Raw count: 93 occurrences in the first 1,000 digits after the decimal point. Permille: 93 per 1,000. Category membership: Includes only the character 0 in decimal positions 1 through 1,000; excludes the integer part (3), decimal separator, and digits after position 1,000. Significance: Zero is tied for the lowest count in this slice, but still close to the 100-per-1,000 benchmark.
Digit 1 - 116 out of 1,000
Raw count: 116 occurrences. Permille: 116 per 1,000. Category membership: Counts only digit 1 within the first 1,000 decimal places using the same inclusion boundary for every digit. Significance: This is the highest count in this specific window, showing how a single digit can temporarily run above the expected 100 in finite samples.
Digit 2 - 103 out of 1,000
Raw count: 103 occurrences. Permille: 103 per 1,000. Category membership: Digit 2 only, same 1,000-digit post-decimal scope. Significance: This category sits slightly above the equal-share benchmark and helps show the mild positive side of the spread.
Digit 3 - 102 out of 1,000
Raw count: 102 occurrences. Permille: 102 per 1,000. Category membership: Digit 3 in decimal positions 1 to 1,000 only. Significance: Very close to the midpoint, this bucket reinforces that most digits in this sample remain clustered near 100.
Digit 4 - 93 out of 1,000
Raw count: 93 occurrences. Permille: 93 per 1,000. Category membership: Digit 4 only in the first 1,000 decimal places. Significance: Digit 4 is tied for the lowest count in this sample, illustrating the lower side of ordinary short-window variation.
Digit 5 - 97 out of 1,000
Raw count: 97 occurrences. Permille: 97 per 1,000. Category membership: Digit 5 within the same bounded 1,000-digit sample. Significance: A small negative deviation that still sits close to the center and supports the broader near-uniform pattern.
Digit 6 - 94 out of 1,000
Raw count: 94 occurrences. Permille: 94 per 1,000. Category membership: Digit 6 across decimal positions 1 through 1,000 only. Significance: This count is below the midpoint but still within a tight overall range for a 1,000-digit sample.
Digit 7 - 95 out of 1,000
Raw count: 95 occurrences. Permille: 95 per 1,000. Category membership: Digit 7 only under the same counting rules. Significance: This sits modestly below 100 and contributes to the lower half of the observed spread.
Digit 8 - 101 out of 1,000
Raw count: 101 occurrences. Permille: 101 per 1,000. Category membership: Digit 8 in the first 1,000 post-decimal positions. Significance: Nearly centered on the benchmark, this category helps show how much of the distribution remains close to parity.
Digit 9 - 106 out of 1,000
Raw count: 106 occurrences. Permille: 106 per 1,000. Category membership: Digit 9 only, same post-decimal boundary conditions. Significance: A clear but still moderate positive deviation that helps complete the overall picture: no digit is dramatically over- or under-represented in this 1,000-digit slice.