What is the 5361st prime number?
The 5361st prime number is 52511. The next prime is 52517 (a gap of 6) and the one before is 52501.
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 5361st one is 52511.
- 2
52511 is prime because no prime up to ā52511 ā 229.15 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5361st prime is close to 5361 Ć ln(5361) ā 46034, and here it is 52511.
- 4
52511 has no twin: neither 52509 nor 52513 is prime.
Primes around the 5361st
| Position | Prime | Gap from the previous |
|---|---|---|
| 5358 | 52457 | 4 |
| 5359 | 52489 | 32 |
| 5360 | 52501 | 12 |
| 5361 | 52511 | 10 |
| 5362 | 52517 | 6 |
| 5363 | 52529 | 12 |
| 5364 | 52541 | 12 |
Questions
What is the 5361st prime number?
52511.
Which prime number is 52511?
52511 is the 5361st prime number.
What is the sum of the first 5361 primes?
132,697,208.