What is the 6591st prime number?
The 6591st prime number is 65993. The next prime is 66029 (a gap of 36) and the one before is 65983.
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 6591st one is 65993.
- 2
65993 is prime because no prime up to ā65993 ā 256.89 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6591st prime is close to 6591 Ć ln(6591) ā 57958, and here it is 65993.
- 4
65993 has no twin: neither 65991 nor 65995 is prime.
Primes around the 6591st
| Position | Prime | Gap from the previous |
|---|---|---|
| 6588 | 65963 | 6 |
| 6589 | 65981 | 18 |
| 6590 | 65983 | 2 |
| 6591 | 65993 | 10 |
| 6592 | 66029 | 36 |
| 6593 | 66037 | 8 |
| 6594 | 66041 | 4 |
Questions
What is the 6591st prime number?
65993.
Which prime number is 65993?
65993 is the 6591st prime number.
What is the sum of the first 6591 primes?
205,509,662.