What is the 5238th prime number?
The 5238th prime number is 51197. The next prime is 51199 (a gap of 2) and the one before is 51193.
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 5238th one is 51197.
- 2
51197 is prime because no prime up to ā51197 ā 226.27 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5238th prime is close to 5238 Ć ln(5238) ā 44857, and here it is 51197.
- 4
51197 is a twin prime: 51197 and 51199 are both prime.
Primes around the 5238th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5235 | 51157 | 6 |
| 5236 | 51169 | 12 |
| 5237 | 51193 | 24 |
| 5238 | 51197 | 4 |
| 5239 | 51199 | 2 |
| 5240 | 51203 | 4 |
| 5241 | 51217 | 14 |
Questions
What is the 5238th prime number?
51197.
Which prime number is 51197?
51197 is the 5238th prime number.
What is the sum of the first 5238 primes?
126,324,075.