What is the 5250th prime number?
The 5250th prime number is 51329. The next prime is 51341 (a gap of 12) and the one before is 51307.
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 5250th one is 51329.
- 2
51329 is prime because no prime up to ā51329 ā 226.56 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5250th prime is close to 5250 Ć ln(5250) ā 44971, and here it is 51329.
- 4
51329 has no twin: neither 51327 nor 51331 is prime.
Primes around the 5250th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5247 | 51283 | 20 |
| 5248 | 51287 | 4 |
| 5249 | 51307 | 20 |
| 5250 | 51329 | 22 |
| 5251 | 51341 | 12 |
| 5252 | 51343 | 2 |
| 5253 | 51347 | 4 |
Questions
What is the 5250th prime number?
51329.
Which prime number is 51329?
51329 is the 5250th prime number.
What is the sum of the first 5250 primes?
126,939,129.