What is the 6039th prime number?
The 6039th prime number is 59743. The next prime is 59747 (a gap of 4) and the one before is 59729.
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 6039th one is 59743.
- 2
59743 is prime because no prime up to ā59743 ā 244.42 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6039th prime is close to 6039 Ć ln(6039) ā 52575, and here it is 59743.
- 4
59743 has no twin: neither 59741 nor 59745 is prime.
Primes around the 6039th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6036 | 59707 | 8 |
| 6037 | 59723 | 16 |
| 6038 | 59729 | 6 |
| 6039 | 59743 | 14 |
| 6040 | 59747 | 4 |
| 6041 | 59753 | 6 |
| 6042 | 59771 | 18 |
Questions
What is the 6039th prime number?
59743.
Which prime number is 59743?
59743 is the 6039th prime number.
What is the sum of the first 6039 primes?
170,771,120.