What is the 5360th prime number?
The 5360th prime number is 52501. The next prime is 52511 (a gap of 10) and the one before is 52489.
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 5360th one is 52501.
- 2
52501 is prime because no prime up to ā52501 ā 229.13 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5360th prime is close to 5360 Ć ln(5360) ā 46025, and here it is 52501.
- 4
52501 has no twin: neither 52499 nor 52503 is prime.
Primes around the 5360th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5357 | 52453 | 20 |
| 5358 | 52457 | 4 |
| 5359 | 52489 | 32 |
| 5360 | 52501 | 12 |
| 5361 | 52511 | 10 |
| 5362 | 52517 | 6 |
| 5363 | 52529 | 12 |
Questions
What is the 5360th prime number?
52501.
Which prime number is 52501?
52501 is the 5360th prime number.
What is the sum of the first 5360 primes?
132,644,697.