What is the 5252nd prime number?
The 5252nd prime number is 51343. The next prime is 51347 (a gap of 4) and the one before is 51341.
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 5252nd one is 51343.
- 2
51343 is prime because no prime up to ā51343 ā 226.59 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5252nd prime is close to 5252 Ć ln(5252) ā 44991, and here it is 51343.
- 4
51343 is a twin prime: 51341 and 51343 are both prime.
Primes around the 5252nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5249 | 51307 | 20 |
| 5250 | 51329 | 22 |
| 5251 | 51341 | 12 |
| 5252 | 51343 | 2 |
| 5253 | 51347 | 4 |
| 5254 | 51349 | 2 |
| 5255 | 51361 | 12 |
Questions
What is the 5252nd prime number?
51343.
Which prime number is 51343?
51343 is the 5252nd prime number.
What is the sum of the first 5252 primes?
127,041,813.