What is the 3930th prime number?
The 3930th prime number is 37057. The next prime is 37061 (a gap of 4) and the one before is 37049.
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 3930th one is 37057.
- 2
37057 is prime because no prime up to ā37057 ā 192.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3930th prime is close to 3930 Ć ln(3930) ā 32526, and here it is 37057.
- 4
37057 has no twin: neither 37055 nor 37059 is prime.
Primes around the 3930th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3927 | 37021 | 2 |
| 3928 | 37039 | 18 |
| 3929 | 37049 | 10 |
| 3930 | 37057 | 8 |
| 3931 | 37061 | 4 |
| 3932 | 37087 | 26 |
| 3933 | 37097 | 10 |
Questions
What is the 3930th prime number?
37057.
Which prime number is 37057?
37057 is the 3930th prime number.
What is the sum of the first 3930 primes?
68,645,663.