What is the 5352nd prime number?
The 5352nd prime number is 52369. The next prime is 52379 (a gap of 10) and the one before is 52363.
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 5352nd one is 52369.
- 2
52369 is prime because no prime up to ā52369 ā 228.84 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5352nd prime is close to 5352 Ć ln(5352) ā 45948, and here it is 52369.
- 4
52369 has no twin: neither 52367 nor 52371 is prime.
Primes around the 5352nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5349 | 52321 | 8 |
| 5350 | 52361 | 40 |
| 5351 | 52363 | 2 |
| 5352 | 52369 | 6 |
| 5353 | 52379 | 10 |
| 5354 | 52387 | 8 |
| 5355 | 52391 | 4 |
Questions
What is the 5352nd prime number?
52369.
Which prime number is 52369?
52369 is the 5352nd prime number.
What is the sum of the first 5352 primes?
132,225,207.