What is the 6573rd prime number?
The 6573rd prime number is 65809. The next prime is 65827 (a gap of 18) and the one before is 65789.
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 6573rd one is 65809.
- 2
65809 is prime because no prime up to ā65809 ā 256.53 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6573rd prime is close to 6573 Ć ln(6573) ā 57781, and here it is 65809.
- 4
65809 has no twin: neither 65807 nor 65811 is prime.
Primes around the 6573rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6570 | 65761 | 30 |
| 6571 | 65777 | 16 |
| 6572 | 65789 | 12 |
| 6573 | 65809 | 20 |
| 6574 | 65827 | 18 |
| 6575 | 65831 | 4 |
| 6576 | 65837 | 6 |
Questions
What is the 6573rd prime number?
65809.
Which prime number is 65809?
65809 is the 6573rd prime number.
What is the sum of the first 6573 primes?
204,323,382.