What is the 3929th prime number?
The 3929th prime number is 37049. The next prime is 37057 (a gap of 8) and the one before is 37039.
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 3929th one is 37049.
- 2
37049 is prime because no prime up to ā37049 ā 192.48 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3929th prime is close to 3929 Ć ln(3929) ā 32517, and here it is 37049.
- 4
37049 has no twin: neither 37047 nor 37051 is prime.
Primes around the 3929th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3926 | 37019 | 6 |
| 3927 | 37021 | 2 |
| 3928 | 37039 | 18 |
| 3929 | 37049 | 10 |
| 3930 | 37057 | 8 |
| 3931 | 37061 | 4 |
| 3932 | 37087 | 26 |
Questions
What is the 3929th prime number?
37049.
Which prime number is 37049?
37049 is the 3929th prime number.
What is the sum of the first 3929 primes?
68,608,606.