Khinchin's constant digits are the decimal digits in the decimal expansion of Khinchin's
constant 
,
 |
(OEIS A002210). However, the numerical value of 
is notoriously difficult to calculate to high precision.
The following table summarizes some record computations. The current record is 2000000
decimal digits (K Ghazi 2026).
| year | decimal digits | computation time (days) | computed by (reference) |
| 1997 | 7350 | -- | Bailey et al. (1997) |
| 1997 | 110000 | 0.93 | Xavier Gourdon (Plouffe 1998) |
| 2016 | 1000000 | 11.99 | Carles Simó (2016) |
| 2026 | 2000000 | 0.37 | Reza K Ghazi (2026) |
The Earls sequence (starting position of 
copies of the decimal digit 
)
for Khinchin's constant, counting the first
decimal digit after the decimal
point as position 1, is given for 
, 2, ... by 9, 42, 1799, 494, 5760, ... (OEIS A224836).
Known (probable) 
-constant primes occur at
1, 407, 878, 4443, 4981, 6551, 13386, 28433, ... decimal
digits (OEIS A118327). No further probable
primes were found through decimal prefix length 250000 (E. W. Weisstein,
Oct. 17, 2026).
The starting positions of the first occurrence of 
, 1, 2, ... in the decimal
expansion of 
(including the initial 2 and counting it as the first decimal
digit) are 8, 10, 1, 14, 5, 4, 2, 23, 3, 22, ... (OEIS A229196).
Scanning the decimal expansion of 
until all 
-digit numbers
have occurred without leading zeros, the last 1-, 2-, ... digit numbers appearing are 7, 43, 782, ..., which end at decimal
digits 23, 499, 8254, ....
It is not known if 
is normal, but the following
table giving the counts of decimal digits in the
first 
positions after the decimal point shows that the
decimal digits are very uniformly distributed up
to at least 
.
 | OEIS | 10 | 100 |  |  |  |
| 0 | 3 | 10 | 101 | 1030 | 9991 | |
| 1 | 1 | 12 | 95 | 1004 | 10070 | |
| 2 | 1 | 9 | 98 | 967 | 9890 | |
| 3 | 0 | 10 | 105 | 1039 | 9840 | |
| 4 | 1 | 11 | 96 | 977 | 9943 | |
| 5 | 2 | 15 | 92 | 1045 | 10116 | |
| 6 | 1 | 6 | 107 | 999 | 10106 | |
| 7 | 0 | 7 | 103 | 953 | 10020 | |
| 8 | 1 | 9 | 95 | 970 | 9942 | |
| 9 | 0 | 11 | 108 | 1016 | 10082 |
Digits of Khintchine's Constant." 2016.