What is the 5355th prime number?
The 5355th prime number is 52391. The next prime is 52433 (a gap of 42) and the one before is 52387.
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 5355th one is 52391.
- 2
52391 is prime because no prime up to ā52391 ā 228.89 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5355th prime is close to 5355 Ć ln(5355) ā 45977, and here it is 52391.
- 4
52391 has no twin: neither 52389 nor 52393 is prime.
Primes around the 5355th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5352 | 52369 | 6 |
| 5353 | 52379 | 10 |
| 5354 | 52387 | 8 |
| 5355 | 52391 | 4 |
| 5356 | 52433 | 42 |
| 5357 | 52453 | 20 |
| 5358 | 52457 | 4 |
Questions
What is the 5355th prime number?
52391.
Which prime number is 52391?
52391 is the 5355th prime number.
What is the sum of the first 5355 primes?
132,382,364.