What is the 6592nd prime number?
The 6592nd prime number is 66029. The next prime is 66037 (a gap of 8) and the one before is 65993.
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 6592nd one is 66029.
- 2
66029 is prime because no prime up to ā66029 ā 256.96 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6592nd prime is close to 6592 Ć ln(6592) ā 57967, and here it is 66029.
- 4
66029 has no twin: neither 66027 nor 66031 is prime.
Primes around the 6592nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6589 | 65981 | 18 |
| 6590 | 65983 | 2 |
| 6591 | 65993 | 10 |
| 6592 | 66029 | 36 |
| 6593 | 66037 | 8 |
| 6594 | 66041 | 4 |
| 6595 | 66047 | 6 |
Questions
What is the 6592nd prime number?
66029.
Which prime number is 66029?
66029 is the 6592nd prime number.
What is the sum of the first 6592 primes?
205,575,691.