Sequence 00000000000 in Pi

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Is there a number 00000000000 in Pi?

Answer

In the first 1,000,000,000 digits of Pi, 00000000000 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 11-digit block would be expected about once in 100,000,000,000 digits — beyond the 1,000,000,000 searched.

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Sequences in Pi

SequenceFound in Pi (— = not checked here)
00000000000Not found
00000000001—
00000000002—
00000000003—
00000000004—
00000000005—
00000000006—
00000000007—
00000000008—
00000000009—
00000000010—
00000000011—
00000000012—
00000000013—
00000000014—
00000000015—

FAQ

Is there a number 00000000000 in Pi?

In the first 1,000,000,000 digits of Pi, 00000000000 is not found

Does that mean 00000000000 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 11-digit block be expected in Pi?

With independent, equally likely digits, about once in 100,000,000,000 digits; the search covered the first 1,000,000,000.