What is the 5366th prime number?
The 5366th prime number is 52553. The next prime is 52561 (a gap of 8) and the one before is 52543.
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 5366th one is 52553.
- 2
52553 is prime because no prime up to ā52553 ā 229.24 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5366th prime is close to 5366 Ć ln(5366) ā 46082, and here it is 52553.
- 4
52553 has no twin: neither 52551 nor 52555 is prime.
Primes around the 5366th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5363 | 52529 | 12 |
| 5364 | 52541 | 12 |
| 5365 | 52543 | 2 |
| 5366 | 52553 | 10 |
| 5367 | 52561 | 8 |
| 5368 | 52567 | 6 |
| 5369 | 52571 | 4 |
Questions
What is the 5366th prime number?
52553.
Which prime number is 52553?
52553 is the 5366th prime number.
What is the sum of the first 5366 primes?
132,959,891.