The constant e with decimal expansion
(OEIS A001113) can be computed to  digits of precision in 10 CPU-minutes on modern hardware.
 was computed to 
 digits by P. Demichel, and the first 
 have been verified by X. Gourdon
 on Nov. 21, 1999 (Plouffe). 
 was computed to 
 decimal digits by S. Kondo on Jul. 5, 2010
 (Yee).
The Earls sequence (starting position of  copies of the digit 
) for 
 is given for 
,
 2, ... by 2, 252, 1361, 11806, 210482, 9030286, 3548262, 141850388, 1290227011, ...
 (OEIS A224828).
The starting positions of the first occurrence of  in the decimal expansion of 
 (including the initial 2 and counting it as the first digit)
 are 14, 3, 1, 18, 11, 12, 21, 2, ... (OEIS A088576).
Scanning the decimal expansion of  until all 
-digit numbers have occurred, the last 1-, 2-, ... digit numbers
 appearing are 6, 12, 548, 1769, 92994, ... (OEIS A036900),
 which end at digits 21, 372, 8092, 102128, ... (OEIS A036904).
The digit sequence 0123456789 does not occur in the first  digits of 
, but 9876543210 does, starting at position 
 (E. Weisstein, Jul. 22, 2013).
-constant
 primes (i.e., e-primes) occur at 1, 3, 7,
 85, 1781, 2780, 112280, 155025, ... (OEIS A64118)
 decimal digits.
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 | 5 | 100 | 974 | 9885 | 99425 | 998678 | 9999138 | 100004425 | 1000024802 | 
| 1 | A000000 | 2 | 6 | 96 | 989 | 10264 | 100132 | 1000577 | 10004438 | 99982926 | 999989229 | 
| 2 | A000000 | 2 | 12 | 97 | 1004 | 9855 | 99845 | 999156 | 9998876 | 99999168 | 999997938 | 
| 3 | A000000 | 0 | 8 | 109 | 1008 | 10035 | 100228 | 1001716 | 10005176 | 100002498 | 999982936 | 
| 4 | A000000 | 1 | 11 | 100 | 982 | 10039 | 100389 | 1000307 | 9998285 | 100018922 | 1000026506 | 
| 5 | A000000 | 0 | 13 | 85 | 992 | 10034 | 100087 | 999903 | 9998042 | 100003884 | 999967300 | 
| 6 | A000000 | 0 | 12 | 99 | 1079 | 10183 | 100479 | 998869 | 10000158 | 99987241 | 999931170 | 
| 7 | A000000 | 1 | 16 | 99 | 1008 | 9875 | 99910 | 1000813 | 9998342 | 99997536 | 1000013049 | 
| 8 | A000000 | 4 | 7 | 103 | 996 | 9967 | 99814 | 999703 | 10000336 | 100005348 | 1000074277 | 
| 9 | A000000 | 0 | 10 | 112 | 968 | 9863 | 99691 | 1000278 | 9997209 | 99998052 | 999992793 | 
 
         
	    
	
    

