What is the 5370th prime number?
The 5370th prime number is 52579. The next prime is 52583 (a gap of 4) and the one before is 52571.
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 5370th one is 52579.
- 2
52579 is prime because no prime up to ā52579 ā 229.30 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5370th prime is close to 5370 Ć ln(5370) ā 46121, and here it is 52579.
- 4
52579 has no twin: neither 52577 nor 52581 is prime.
Primes around the 5370th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5367 | 52561 | 8 |
| 5368 | 52567 | 6 |
| 5369 | 52571 | 4 |
| 5370 | 52579 | 8 |
| 5371 | 52583 | 4 |
| 5372 | 52609 | 26 |
| 5373 | 52627 | 18 |
Questions
What is the 5370th prime number?
52579.
Which prime number is 52579?
52579 is the 5370th prime number.
What is the sum of the first 5370 primes?
133,170,169.