What is the 6042nd prime number?
The 6042nd prime number is 59771. The next prime is 59779 (a gap of 8) and the one before is 59753.
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 6042nd one is 59771.
- 2
59771 is prime because no prime up to ā59771 ā 244.48 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6042nd prime is close to 6042 Ć ln(6042) ā 52605, and here it is 59771.
- 4
59771 has no twin: neither 59769 nor 59773 is prime.
Primes around the 6042nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6039 | 59743 | 14 |
| 6040 | 59747 | 4 |
| 6041 | 59753 | 6 |
| 6042 | 59771 | 18 |
| 6043 | 59779 | 8 |
| 6044 | 59791 | 12 |
| 6045 | 59797 | 6 |
Questions
What is the 6042nd prime number?
59771.
Which prime number is 59771?
59771 is the 6042nd prime number.
What is the sum of the first 6042 primes?
170,950,391.