What is the 5368th prime number?
The 5368th prime number is 52567. The next prime is 52571 (a gap of 4) and the one before is 52561.
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 5368th one is 52567.
- 2
52567 is prime because no prime up to ā52567 ā 229.27 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5368th prime is close to 5368 Ć ln(5368) ā 46102, and here it is 52567.
- 4
52567 has no twin: neither 52565 nor 52569 is prime.
Primes around the 5368th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5365 | 52543 | 2 |
| 5366 | 52553 | 10 |
| 5367 | 52561 | 8 |
| 5368 | 52567 | 6 |
| 5369 | 52571 | 4 |
| 5370 | 52579 | 8 |
| 5371 | 52583 | 4 |
Questions
What is the 5368th prime number?
52567.
Which prime number is 52567?
52567 is the 5368th prime number.
What is the sum of the first 5368 primes?
133,065,019.