What is the 5350th prime number?
The 5350th prime number is 52361. The next prime is 52363 (a gap of 2) and the one before is 52321.
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 5350th one is 52361.
- 2
52361 is prime because no prime up to ā52361 ā 228.83 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5350th prime is close to 5350 Ć ln(5350) ā 45929, and here it is 52361.
- 4
52361 is a twin prime: 52361 and 52363 are both prime.
Primes around the 5350th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5347 | 52301 | 10 |
| 5348 | 52313 | 12 |
| 5349 | 52321 | 8 |
| 5350 | 52361 | 40 |
| 5351 | 52363 | 2 |
| 5352 | 52369 | 6 |
| 5353 | 52379 | 10 |
Questions
What is the 5350th prime number?
52361.
Which prime number is 52361?
52361 is the 5350th prime number.
What is the sum of the first 5350 primes?
132,120,475.