What is the 5367th prime number?
The 5367th prime number is 52561. The next prime is 52567 (a gap of 6) and the one before is 52553.
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 5367th one is 52561.
- 2
52561 is prime because no prime up to ā52561 ā 229.26 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5367th prime is close to 5367 Ć ln(5367) ā 46092, and here it is 52561.
- 4
52561 has no twin: neither 52559 nor 52563 is prime.
Primes around the 5367th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5364 | 52541 | 12 |
| 5365 | 52543 | 2 |
| 5366 | 52553 | 10 |
| 5367 | 52561 | 8 |
| 5368 | 52567 | 6 |
| 5369 | 52571 | 4 |
| 5370 | 52579 | 8 |
Questions
What is the 5367th prime number?
52561.
Which prime number is 52561?
52561 is the 5367th prime number.
What is the sum of the first 5367 primes?
133,012,452.