What is the 5358th prime number?
The 5358th prime number is 52457. The next prime is 52489 (a gap of 32) and the one before is 52453.
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 5358th one is 52457.
- 2
52457 is prime because no prime up to ā52457 ā 229.03 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5358th prime is close to 5358 Ć ln(5358) ā 46006, and here it is 52457.
- 4
52457 has no twin: neither 52455 nor 52459 is prime.
Primes around the 5358th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5355 | 52391 | 4 |
| 5356 | 52433 | 42 |
| 5357 | 52453 | 20 |
| 5358 | 52457 | 4 |
| 5359 | 52489 | 32 |
| 5360 | 52501 | 12 |
| 5361 | 52511 | 10 |
Questions
What is the 5358th prime number?
52457.
Which prime number is 52457?
52457 is the 5358th prime number.
What is the sum of the first 5358 primes?
132,539,707.