What is the 3999th prime number?
The 3999th prime number is 37811. The next prime is 37813 (a gap of 2) and the one before is 37799.
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 3999th one is 37811.
- 2
37811 is prime because no prime up to ā37811 ā 194.45 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3999th prime is close to 3999 Ć ln(3999) ā 33167, and here it is 37811.
- 4
37811 is a twin prime: 37811 and 37813 are both prime.
Primes around the 3999th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3996 | 37781 | 34 |
| 3997 | 37783 | 2 |
| 3998 | 37799 | 16 |
| 3999 | 37811 | 12 |
| 4000 | 37813 | 2 |
| 4001 | 37831 | 18 |
| 4002 | 37847 | 16 |
Questions
What is the 3999th prime number?
37811.
Which prime number is 37811?
37811 is the 3999th prime number.
What is the sum of the first 3999 primes?
71,229,094.