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FTA: the number 123456 doesn’t appear anywhere in the first million digits of pi. It is a bit shocking because if a million digits of pi don’t have the sequence
by Someone 4y ago
FTA: the number 123456 doesn’t appear anywhere in the first million digits of pi. It is a bit shocking because if a million digits of pi don’t have the sequence 124356, it definitely is the most unique number.
- funny typo. The string 124356 occurs at position 565785 in the decimal expansion of pi.
- There are only 999,995 six-digit sequences in the first million digits, so by the pigeonhole principle (https://en.wikipedia.org/wiki/Pigeonhole_principle https://en.wikipedia.org/wiki/Pigeonhole_principle), there should be at least 5 such six-digit sequences. That one of them looks nice to humans isn’t particularly surprising given our ability to detect patterns.