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 |