What is the 5364th prime number?
The 5364th prime number is 52541. The next prime is 52543 (a gap of 2) and the one before is 52529.
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 5364th one is 52541.
- 2
52541 is prime because no prime up to ā52541 ā 229.22 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5364th prime is close to 5364 Ć ln(5364) ā 46063, and here it is 52541.
- 4
52541 is a twin prime: 52541 and 52543 are both prime.
Primes around the 5364th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5361 | 52511 | 10 |
| 5362 | 52517 | 6 |
| 5363 | 52529 | 12 |
| 5364 | 52541 | 12 |
| 5365 | 52543 | 2 |
| 5366 | 52553 | 10 |
| 5367 | 52561 | 8 |
Questions
What is the 5364th prime number?
52541.
Which prime number is 52541?
52541 is the 5364th prime number.
What is the sum of the first 5364 primes?
132,854,795.