What is the 5351st prime number?
The 5351st prime number is 52363. The next prime is 52369 (a gap of 6) and the one before is 52361.
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 5351st one is 52363.
- 2
52363 is prime because no prime up to ā52363 ā 228.83 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5351st prime is close to 5351 Ć ln(5351) ā 45939, and here it is 52363.
- 4
52363 is a twin prime: 52361 and 52363 are both prime.
Primes around the 5351st
| Position | Prime | Gap from the previous |
|---|---|---|
| 5348 | 52313 | 12 |
| 5349 | 52321 | 8 |
| 5350 | 52361 | 40 |
| 5351 | 52363 | 2 |
| 5352 | 52369 | 6 |
| 5353 | 52379 | 10 |
| 5354 | 52387 | 8 |
Questions
What is the 5351st prime number?
52363.
Which prime number is 52363?
52363 is the 5351st prime number.
What is the sum of the first 5351 primes?
132,172,838.