What is the 3911th prime number?
The 3911th prime number is 36887. The next prime is 36899 (a gap of 12) and the one before is 36877.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 3911th one is 36887.
- 2
36887 is prime because no prime up to ā36887 ā 192.06 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3911th prime is close to 3911 Ć ln(3911) ā 32350, and here it is 36887.
- 4
36887 has no twin: neither 36885 nor 36889 is prime.
Primes around the 3911th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3908 | 36857 | 10 |
| 3909 | 36871 | 14 |
| 3910 | 36877 | 6 |
| 3911 | 36887 | 10 |
| 3912 | 36899 | 12 |
| 3913 | 36901 | 2 |
| 3914 | 36913 | 12 |
Questions
What is the 3911th prime number?
36887.
Which prime number is 36887?
36887 is the 3911th prime number.
What is the sum of the first 3911 primes?
67,943,208.