What is the 6041st prime number?
The 6041st prime number is 59753. The next prime is 59771 (a gap of 18) and the one before is 59747.
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 6041st one is 59753.
- 2
59753 is prime because no prime up to ā59753 ā 244.44 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6041st prime is close to 6041 Ć ln(6041) ā 52595, and here it is 59753.
- 4
59753 has no twin: neither 59751 nor 59755 is prime.
Primes around the 6041st
| Position | Prime | Gap from the previous |
|---|---|---|
| 6038 | 59729 | 6 |
| 6039 | 59743 | 14 |
| 6040 | 59747 | 4 |
| 6041 | 59753 | 6 |
| 6042 | 59771 | 18 |
| 6043 | 59779 | 8 |
| 6044 | 59791 | 12 |
Questions
What is the 6041st prime number?
59753.
Which prime number is 59753?
59753 is the 6041st prime number.
What is the sum of the first 6041 primes?
170,890,620.