What is the 4084th prime number?
The 4084th prime number is 38747. The next prime is 38749 (a gap of 2) and the one before is 38737.
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 4084th one is 38747.
- 2
38747 is prime because no prime up to ā38747 ā 196.84 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4084th prime is close to 4084 Ć ln(4084) ā 33958, and here it is 38747.
- 4
38747 is a twin prime: 38747 and 38749 are both prime.
Primes around the 4084th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4081 | 38723 | 10 |
| 4082 | 38729 | 6 |
| 4083 | 38737 | 8 |
| 4084 | 38747 | 10 |
| 4085 | 38749 | 2 |
| 4086 | 38767 | 18 |
| 4087 | 38783 | 16 |
Questions
What is the 4084th prime number?
38747.
Which prime number is 38747?
38747 is the 4084th prime number.
What is the sum of the first 4084 primes?
74,484,709.