What is the 3927th prime number?
The 3927th prime number is 37021. The next prime is 37039 (a gap of 18) and the one before is 37019.
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 3927th one is 37021.
- 2
37021 is prime because no prime up to ā37021 ā 192.41 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3927th prime is close to 3927 Ć ln(3927) ā 32498, and here it is 37021.
- 4
37021 is a twin prime: 37019 and 37021 are both prime.
Primes around the 3927th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3924 | 37003 | 6 |
| 3925 | 37013 | 10 |
| 3926 | 37019 | 6 |
| 3927 | 37021 | 2 |
| 3928 | 37039 | 18 |
| 3929 | 37049 | 10 |
| 3930 | 37057 | 8 |
Questions
What is the 3927th prime number?
37021.
Which prime number is 37021?
37021 is the 3927th prime number.
What is the sum of the first 3927 primes?
68,534,518.