What is the 5251st prime number?
The 5251st prime number is 51341. The next prime is 51343 (a gap of 2) and the one before is 51329.
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 5251st one is 51341.
- 2
51341 is prime because no prime up to ā51341 ā 226.59 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5251st prime is close to 5251 Ć ln(5251) ā 44981, and here it is 51341.
- 4
51341 is a twin prime: 51341 and 51343 are both prime.
Primes around the 5251st
| Position | Prime | Gap from the previous |
|---|---|---|
| 5248 | 51287 | 4 |
| 5249 | 51307 | 20 |
| 5250 | 51329 | 22 |
| 5251 | 51341 | 12 |
| 5252 | 51343 | 2 |
| 5253 | 51347 | 4 |
| 5254 | 51349 | 2 |
Questions
What is the 5251st prime number?
51341.
Which prime number is 51341?
51341 is the 5251st prime number.
What is the sum of the first 5251 primes?
126,990,470.