What is the 5365th prime number?
The 5365th prime number is 52543. The next prime is 52553 (a gap of 10) and the one before is 52541.
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 5365th one is 52543.
- 2
52543 is prime because no prime up to ā52543 ā 229.22 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5365th prime is close to 5365 Ć ln(5365) ā 46073, and here it is 52543.
- 4
52543 is a twin prime: 52541 and 52543 are both prime.
Primes around the 5365th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5362 | 52517 | 6 |
| 5363 | 52529 | 12 |
| 5364 | 52541 | 12 |
| 5365 | 52543 | 2 |
| 5366 | 52553 | 10 |
| 5367 | 52561 | 8 |
| 5368 | 52567 | 6 |
Questions
What is the 5365th prime number?
52543.
Which prime number is 52543?
52543 is the 5365th prime number.
What is the sum of the first 5365 primes?
132,907,338.