What is the 5359th prime number?
The 5359th prime number is 52489. The next prime is 52501 (a gap of 12) and the one before is 52457.
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 5359th one is 52489.
- 2
52489 is prime because no prime up to ā52489 ā 229.10 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5359th prime is close to 5359 Ć ln(5359) ā 46015, and here it is 52489.
- 4
52489 has no twin: neither 52487 nor 52491 is prime.
Primes around the 5359th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5356 | 52433 | 42 |
| 5357 | 52453 | 20 |
| 5358 | 52457 | 4 |
| 5359 | 52489 | 32 |
| 5360 | 52501 | 12 |
| 5361 | 52511 | 10 |
| 5362 | 52517 | 6 |
Questions
What is the 5359th prime number?
52489.
Which prime number is 52489?
52489 is the 5359th prime number.
What is the sum of the first 5359 primes?
132,592,196.