What is the 5058th prime number?
The 5058th prime number is 49201. The next prime is 49207 (a gap of 6) and the one before is 49199.
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 5058th one is 49201.
- 2
49201 is prime because no prime up to ā49201 ā 221.81 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5058th prime is close to 5058 Ć ln(5058) ā 43138, and here it is 49201.
- 4
49201 is a twin prime: 49199 and 49201 are both prime.
Primes around the 5058th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5055 | 49177 | 6 |
| 5056 | 49193 | 16 |
| 5057 | 49199 | 6 |
| 5058 | 49201 | 2 |
| 5059 | 49207 | 6 |
| 5060 | 49211 | 4 |
| 5061 | 49223 | 12 |
Questions
What is the 5058th prime number?
49201.
Which prime number is 49201?
49201 is the 5058th prime number.
What is the sum of the first 5058 primes?
117,292,599.