What is the 5356th prime number?
The 5356th prime number is 52433. The next prime is 52453 (a gap of 20) and the one before is 52391.
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 5356th one is 52433.
- 2
52433 is prime because no prime up to ā52433 ā 228.98 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5356th prime is close to 5356 Ć ln(5356) ā 45986, and here it is 52433.
- 4
52433 has no twin: neither 52431 nor 52435 is prime.
Primes around the 5356th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5353 | 52379 | 10 |
| 5354 | 52387 | 8 |
| 5355 | 52391 | 4 |
| 5356 | 52433 | 42 |
| 5357 | 52453 | 20 |
| 5358 | 52457 | 4 |
| 5359 | 52489 | 32 |
Questions
What is the 5356th prime number?
52433.
Which prime number is 52433?
52433 is the 5356th prime number.
What is the sum of the first 5356 primes?
132,434,797.