What is the 5363rd prime number?
The 5363rd prime number is 52529. The next prime is 52541 (a gap of 12) and the one before is 52517.
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 5363rd one is 52529.
- 2
52529 is prime because no prime up to ā52529 ā 229.19 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5363rd prime is close to 5363 Ć ln(5363) ā 46054, and here it is 52529.
- 4
52529 has no twin: neither 52527 nor 52531 is prime.
Primes around the 5363rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5360 | 52501 | 12 |
| 5361 | 52511 | 10 |
| 5362 | 52517 | 6 |
| 5363 | 52529 | 12 |
| 5364 | 52541 | 12 |
| 5365 | 52543 | 2 |
| 5366 | 52553 | 10 |
Questions
What is the 5363rd prime number?
52529.
Which prime number is 52529?
52529 is the 5363rd prime number.
What is the sum of the first 5363 primes?
132,802,254.