Ramanujan calculated 
(Hardy 1999, Le Lionnais 1983, Berndt 1994),
while the correct value is
 |
(OEIS A070769; Derbyshire 2004, p. 114). The first 
decimal digits were computed by E. Weisstein on Oct. 7, 2013.
-constant primes occur for 4, 144, 227, 444, 19474,
... (OEIS A122422) decimal digits.
The Earls sequence (starting position of 
copies of the digit 
) for 
is given for 
, 2, ... by 3, 42, 178, 10013, 31567, 600035, 1253449, ...
(OEIS A229071).
The starting positions of the first occurrence of 
, 1, 2, ... in the decimal expansion of 
(not including the initial 0 to the left of the decimal point)
are 17, 1, 8, 5, 2, 3, 6, 34, 11, ... (OEIS A229201).
Scanning the decimal expansion of 
until all 
-digit numbers have occurred, the last 1-, 2-, ... digit numbers
appearing are 7, 465, 102, 5858, 48441, ... (OEIS A000000),
which end at digits 34, 512, 7454, 92508, 1414058, ... (OEIS A000000).
The digit sequences 0123456789 and 9876543210 do not occur in the first 
digits (E. Weisstein, Oct. 7, 2013).
It is not known if 
is normal, but the following
table giving the counts of digits in the first 
terms shows that the decimal digits are very uniformly
distributed up to at least 
.
 | OEIS | 10 | 100 |  |  |  |  |  |
| 0 | A000000 | 0 | 9 | 116 | 1053 | 10098 | 100104 | 999785 |
| 1 | A000000 | 1 | 7 | 100 | 970 | 9893 | 100238 | 1000370 |
| 2 | A000000 | 1 | 9 | 106 | 979 | 10113 | 100057 | 999594 |
| 3 | A000000 | 2 | 13 | 109 | 1012 | 10120 | 99999 | 1001006 |
| 4 | A000000 | 2 | 10 | 96 | 1019 | 10118 | 99822 | 999546 |
| 5 | A000000 | 1 | 15 | 103 | 994 | 9912 | 99918 | 1001007 |
| 6 | A000000 | 1 | 8 | 89 | 1036 | 10060 | 99971 | 999430 |
| 7 | A000000 | 0 | 6 | 97 | 988 | 10029 | 100141 | 997185 |
| 8 | A000000 | 1 | 15 | 101 | 988 | 9838 | 100089 | 1001593 |
| 9 | A000000 | 1 | 8 | 83 | 961 | 9819 | 99661 | 1000484 |
