What is the 6552nd prime number?
The 6552nd prime number is 65599. The next prime is 65609 (a gap of 10) and the one before is 65587.
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 6552nd one is 65599.
- 2
65599 is prime because no prime up to ā65599 ā 256.12 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6552nd prime is close to 6552 Ć ln(6552) ā 57576, and here it is 65599.
- 4
65599 has no twin: neither 65597 nor 65601 is prime.
Primes around the 6552nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6549 | 65579 | 16 |
| 6550 | 65581 | 2 |
| 6551 | 65587 | 6 |
| 6552 | 65599 | 12 |
| 6553 | 65609 | 10 |
| 6554 | 65617 | 8 |
| 6555 | 65629 | 12 |
Questions
What is the 6552nd prime number?
65599.
Which prime number is 65599?
65599 is the 6552nd prime number.
What is the sum of the first 6552 primes?
202,943,723.