What is the 5353rd prime number?
The 5353rd prime number is 52379. The next prime is 52387 (a gap of 8) and the one before is 52369.
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 5353rd one is 52379.
- 2
52379 is prime because no prime up to ā52379 ā 228.86 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5353rd prime is close to 5353 Ć ln(5353) ā 45958, and here it is 52379.
- 4
52379 has no twin: neither 52377 nor 52381 is prime.
Primes around the 5353rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5350 | 52361 | 40 |
| 5351 | 52363 | 2 |
| 5352 | 52369 | 6 |
| 5353 | 52379 | 10 |
| 5354 | 52387 | 8 |
| 5355 | 52391 | 4 |
| 5356 | 52433 | 42 |
Questions
What is the 5353rd prime number?
52379.
Which prime number is 52379?
52379 is the 5353rd prime number.
What is the sum of the first 5353 primes?
132,277,586.