What is the 4079th prime number?
The 4079th prime number is 38711. The next prime is 38713 (a gap of 2) and the one before is 38707.
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 4079th one is 38711.
- 2
38711 is prime because no prime up to ā38711 ā 196.75 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4079th prime is close to 4079 Ć ln(4079) ā 33911, and here it is 38711.
- 4
38711 is a twin prime: 38711 and 38713 are both prime.
Primes around the 4079th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4076 | 38693 | 16 |
| 4077 | 38699 | 6 |
| 4078 | 38707 | 8 |
| 4079 | 38711 | 4 |
| 4080 | 38713 | 2 |
| 4081 | 38723 | 10 |
| 4082 | 38729 | 6 |
Questions
What is the 4079th prime number?
38711.
Which prime number is 38711?
38711 is the 4079th prime number.
What is the sum of the first 4079 primes?
74,291,060.