What is the 5253rd prime number?
The 5253rd prime number is 51347. The next prime is 51349 (a gap of 2) and the one before is 51343.
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 5253rd one is 51347.
- 2
51347 is prime because no prime up to ā51347 ā 226.60 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5253rd prime is close to 5253 Ć ln(5253) ā 45000, and here it is 51347.
- 4
51347 is a twin prime: 51347 and 51349 are both prime.
Primes around the 5253rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5250 | 51329 | 22 |
| 5251 | 51341 | 12 |
| 5252 | 51343 | 2 |
| 5253 | 51347 | 4 |
| 5254 | 51349 | 2 |
| 5255 | 51361 | 12 |
| 5256 | 51383 | 22 |
Questions
What is the 5253rd prime number?
51347.
Which prime number is 51347?
51347 is the 5253rd prime number.
What is the sum of the first 5253 primes?
127,093,160.