What is the 6572nd prime number?
The 6572nd prime number is 65789. The next prime is 65809 (a gap of 20) and the one before is 65777.
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 6572nd one is 65789.
- 2
65789 is prime because no prime up to ā65789 ā 256.49 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6572nd prime is close to 6572 Ć ln(6572) ā 57772, and here it is 65789.
- 4
65789 has no twin: neither 65787 nor 65791 is prime.
Primes around the 6572nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6569 | 65731 | 2 |
| 6570 | 65761 | 30 |
| 6571 | 65777 | 16 |
| 6572 | 65789 | 12 |
| 6573 | 65809 | 20 |
| 6574 | 65827 | 18 |
| 6575 | 65831 | 4 |
Questions
What is the 6572nd prime number?
65789.
Which prime number is 65789?
65789 is the 6572nd prime number.
What is the sum of the first 6572 primes?
204,257,573.