Sequence 000000000000 in Pi

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Is there a number 000000000000 in Pi?

Answer

In the first 1,000,000,000 digits of Pi, 000000000000 is
not found

Searched in the first 1,000,000,000 digits after the decimal point, position 1 = the 1 in 3.14…, overlaps counted. If the digits were independent and equally likely, a 12-digit block would be expected about once in 1,000,000,000,000 digits — beyond the 1,000,000,000 searched.

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Sequences in Pi

SequenceFound in Pi (— = not checked here)
000000000000Not found
000000000001—
000000000002—
000000000003—
000000000004—
000000000005—
000000000006—
000000000007—
000000000008—
000000000009—
000000000010—
000000000011—
000000000012—
000000000013—
000000000014—
000000000015—

FAQ

Is there a number 000000000000 in Pi?

In the first 1,000,000,000 digits of Pi, 000000000000 is not found

Does that mean 000000000000 is not in Pi at all?

No: only the first 1,000,000,000 digits after the decimal point were searched. It may occur further on; whether every digit block occurs in Pi is unproven.

How often would a 12-digit block be expected in Pi?

With independent, equally likely digits, about once in 1,000,000,000,000 digits; the search covered the first 1,000,000,000.