What is the 5239th prime number?
The 5239th prime number is 51199. The next prime is 51203 (a gap of 4) and the one before is 51197.
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 5239th one is 51199.
- 2
51199 is prime because no prime up to ā51199 ā 226.27 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5239th prime is close to 5239 Ć ln(5239) ā 44866, and here it is 51199.
- 4
51199 is a twin prime: 51197 and 51199 are both prime.
Primes around the 5239th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5236 | 51169 | 12 |
| 5237 | 51193 | 24 |
| 5238 | 51197 | 4 |
| 5239 | 51199 | 2 |
| 5240 | 51203 | 4 |
| 5241 | 51217 | 14 |
| 5242 | 51229 | 12 |
Questions
What is the 5239th prime number?
51199.
Which prime number is 51199?
51199 is the 5239th prime number.
What is the sum of the first 5239 primes?
126,375,274.