What is the 3908th prime number?
The 3908th prime number is 36857. The next prime is 36871 (a gap of 14) and the one before is 36847.
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 3908th one is 36857.
- 2
36857 is prime because no prime up to ā36857 ā 191.98 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3908th prime is close to 3908 Ć ln(3908) ā 32322, and here it is 36857.
- 4
36857 has no twin: neither 36855 nor 36859 is prime.
Primes around the 3908th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3905 | 36821 | 12 |
| 3906 | 36833 | 12 |
| 3907 | 36847 | 14 |
| 3908 | 36857 | 10 |
| 3909 | 36871 | 14 |
| 3910 | 36877 | 6 |
| 3911 | 36887 | 10 |
Questions
What is the 3908th prime number?
36857.
Which prime number is 36857?
36857 is the 3908th prime number.
What is the sum of the first 3908 primes?
67,832,573.