Soldner's constant digits are the decimal digits of Soldner's constant 
, whose value is
 |
(OEIS A070769; Derbyshire 2004, p. 114). Ramanujan reported the approximation 
(Berndt and Evans 1991, p. 38). 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 
, counting only fractional digits)
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 
(including the initial 1 and counting it as the first digit) are 17, 1, 8, 5, 2, 3, 6, 34, 11, ... (OEIS A229201).
Scanning the decimal expansion of 
, including the initial 1, until all 
-digit strings
have occurred, including those with leading zeros, the last 1-, 2-, ... digit strings appearing are 7, 46, 102, 5858, 48441, ..., which
end at digits 34, 512, 7454, 92508, 1414058, ....
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 
fractional decimal digits shows
that the decimal digits are very uniformly distributed
up to at least 
.
 | OEIS | 10 | 100 |  |  |  |  |  |
| 0 | 0 | 9 | 116 | 1053 | 10098 | 100104 | 999785 | |
| 1 | 1 | 7 | 100 | 970 | 9893 | 100238 | 1000370 | |
| 2 | 1 | 9 | 106 | 979 | 10113 | 100057 | 999594 | |
| 3 | 2 | 13 | 109 | 1012 | 10120 | 99999 | 1001006 | |
| 4 | 2 | 10 | 96 | 1019 | 10118 | 99822 | 999546 | |
| 5 | 1 | 15 | 103 | 994 | 9912 | 99918 | 1001007 | |
| 6 | 1 | 8 | 89 | 1036 | 10060 | 99971 | 999430 | |
| 7 | 0 | 6 | 97 | 988 | 10029 | 100141 | 997185 | |
| 8 | 1 | 15 | 101 | 988 | 9838 | 100089 | 1001593 | |
| 9 | 1 | 8 | 83 | 961 | 9819 | 99661 | 1000484 |
