What is the 5357th prime number?
The 5357th prime number is 52453. The next prime is 52457 (a gap of 4) and the one before is 52433.
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 5357th one is 52453.
- 2
52453 is prime because no prime up to ā52453 ā 229.03 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5357th prime is close to 5357 Ć ln(5357) ā 45996, and here it is 52453.
- 4
52453 has no twin: neither 52451 nor 52455 is prime.
Primes around the 5357th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5354 | 52387 | 8 |
| 5355 | 52391 | 4 |
| 5356 | 52433 | 42 |
| 5357 | 52453 | 20 |
| 5358 | 52457 | 4 |
| 5359 | 52489 | 32 |
| 5360 | 52501 | 12 |
Questions
What is the 5357th prime number?
52453.
Which prime number is 52453?
52453 is the 5357th prime number.
What is the sum of the first 5357 primes?
132,487,250.