What is the 5369th prime number?
The 5369th prime number is 52571. The next prime is 52579 (a gap of 8) and the one before is 52567.
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 5369th one is 52571.
- 2
52571 is prime because no prime up to ā52571 ā 229.28 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5369th prime is close to 5369 Ć ln(5369) ā 46111, and here it is 52571.
- 4
52571 has no twin: neither 52569 nor 52573 is prime.
Primes around the 5369th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5366 | 52553 | 10 |
| 5367 | 52561 | 8 |
| 5368 | 52567 | 6 |
| 5369 | 52571 | 4 |
| 5370 | 52579 | 8 |
| 5371 | 52583 | 4 |
| 5372 | 52609 | 26 |
Questions
What is the 5369th prime number?
52571.
Which prime number is 52571?
52571 is the 5369th prime number.
What is the sum of the first 5369 primes?
133,117,590.