What is the 5057th prime number?
The 5057th prime number is 49199. The next prime is 49201 (a gap of 2) and the one before is 49193.
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 5057th one is 49199.
- 2
49199 is prime because no prime up to ā49199 ā 221.81 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5057th prime is close to 5057 Ć ln(5057) ā 43129, and here it is 49199.
- 4
49199 is a twin prime: 49199 and 49201 are both prime.
Primes around the 5057th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5054 | 49171 | 2 |
| 5055 | 49177 | 6 |
| 5056 | 49193 | 16 |
| 5057 | 49199 | 6 |
| 5058 | 49201 | 2 |
| 5059 | 49207 | 6 |
| 5060 | 49211 | 4 |
Questions
What is the 5057th prime number?
49199.
Which prime number is 49199?
49199 is the 5057th prime number.
What is the sum of the first 5057 primes?
117,243,398.