What is the 6040th prime number?
The 6040th prime number is 59747. The next prime is 59753 (a gap of 6) and the one before is 59743.
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 6040th one is 59747.
- 2
59747 is prime because no prime up to ā59747 ā 244.43 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6040th prime is close to 6040 Ć ln(6040) ā 52585, and here it is 59747.
- 4
59747 has no twin: neither 59745 nor 59749 is prime.
Primes around the 6040th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6037 | 59723 | 16 |
| 6038 | 59729 | 6 |
| 6039 | 59743 | 14 |
| 6040 | 59747 | 4 |
| 6041 | 59753 | 6 |
| 6042 | 59771 | 18 |
| 6043 | 59779 | 8 |
Questions
What is the 6040th prime number?
59747.
Which prime number is 59747?
59747 is the 6040th prime number.
What is the sum of the first 6040 primes?
170,830,867.