What is the 3928th prime number?
The 3928th prime number is 37039. The next prime is 37049 (a gap of 10) and the one before is 37021.
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 3928th one is 37039.
- 2
37039 is prime because no prime up to ā37039 ā 192.46 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3928th prime is close to 3928 Ć ln(3928) ā 32508, and here it is 37039.
- 4
37039 has no twin: neither 37037 nor 37041 is prime.
Primes around the 3928th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3925 | 37013 | 10 |
| 3926 | 37019 | 6 |
| 3927 | 37021 | 2 |
| 3928 | 37039 | 18 |
| 3929 | 37049 | 10 |
| 3930 | 37057 | 8 |
| 3931 | 37061 | 4 |
Questions
What is the 3928th prime number?
37039.
Which prime number is 37039?
37039 is the 3928th prime number.
What is the sum of the first 3928 primes?
68,571,557.