The Euler–Mascheroni constant γ
The Euler–Mascheroni constant γ is the limit of 1 + 1/2 + … + 1/n − ln n; it is not known whether it is irrational. Its value is 0.57721566490153286060651209008240243104215933593992…, not known to be irrational.
How to work it out
- 1
What it is: the limit of 1 + 1/2 + … + 1/n − ln n; it is not known whether it is irrational.
- 2
The first 100 digits, from the published value:
- 3
0.57721566 4901532860 6065120900 8240243104 2159335939 92
How often each digit appears in the first 100 digits (computed)
| Digit | Count |
|---|---|
| 0 | 8 |
| 1 | 5 |
| 2 | 7 |
| 3 | 5 |
| 4 | 4 |
| 5 | 6 |
| 6 | 5 |
| 7 | 2 |
| 8 | 2 |
| 9 | 6 |
Questions
What is the value of The Euler–Mascheroni constant γ?
0.57721566490153286060651209008240243104215933593992…
Is The Euler–Mascheroni constant γ irrational?
It is not known to be irrational.
What are the first 10 digits of The Euler–Mascheroni constant γ?
0.5772156649.