What is the 4085th prime number?
The 4085th prime number is 38749. The next prime is 38767 (a gap of 18) and the one before is 38747.
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 4085th one is 38749.
- 2
38749 is prime because no prime up to ā38749 ā 196.85 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4085th prime is close to 4085 Ć ln(4085) ā 33967, and here it is 38749.
- 4
38749 is a twin prime: 38747 and 38749 are both prime.
Primes around the 4085th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4082 | 38729 | 6 |
| 4083 | 38737 | 8 |
| 4084 | 38747 | 10 |
| 4085 | 38749 | 2 |
| 4086 | 38767 | 18 |
| 4087 | 38783 | 16 |
| 4088 | 38791 | 8 |
Questions
What is the 4085th prime number?
38749.
Which prime number is 38749?
38749 is the 4085th prime number.
What is the sum of the first 4085 primes?
74,523,458.