What is the 3910th prime number?
The 3910th prime number is 36877. The next prime is 36887 (a gap of 10) and the one before is 36871.
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 3910th one is 36877.
- 2
36877 is prime because no prime up to ā36877 ā 192.03 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3910th prime is close to 3910 Ć ln(3910) ā 32341, and here it is 36877.
- 4
36877 has no twin: neither 36875 nor 36879 is prime.
Primes around the 3910th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3907 | 36847 | 14 |
| 3908 | 36857 | 10 |
| 3909 | 36871 | 14 |
| 3910 | 36877 | 6 |
| 3911 | 36887 | 10 |
| 3912 | 36899 | 12 |
| 3913 | 36901 | 2 |
Questions
What is the 3910th prime number?
36877.
Which prime number is 36877?
36877 is the 3910th prime number.
What is the sum of the first 3910 primes?
67,906,321.