What is the 5158th prime number?
The 5158th prime number is 50261. The next prime is 50263 (a gap of 2) and the one before is 50231.
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 5158th one is 50261.
- 2
50261 is prime because no prime up to ā50261 ā 224.19 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5158th prime is close to 5158 Ć ln(5158) ā 44092, and here it is 50261.
- 4
50261 is a twin prime: 50261 and 50263 are both prime.
Primes around the 5158th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5155 | 50221 | 14 |
| 5156 | 50227 | 6 |
| 5157 | 50231 | 4 |
| 5158 | 50261 | 30 |
| 5159 | 50263 | 2 |
| 5160 | 50273 | 10 |
| 5161 | 50287 | 14 |
Questions
What is the 5158th prime number?
50261.
Which prime number is 50261?
50261 is the 5158th prime number.
What is the sum of the first 5158 primes?
122,266,359.