What is the 5159th prime number?
The 5159th prime number is 50263. The next prime is 50273 (a gap of 10) and the one before is 50261.
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 5159th one is 50263.
- 2
50263 is prime because no prime up to ā50263 ā 224.19 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5159th prime is close to 5159 Ć ln(5159) ā 44102, and here it is 50263.
- 4
50263 is a twin prime: 50261 and 50263 are both prime.
Primes around the 5159th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5156 | 50227 | 6 |
| 5157 | 50231 | 4 |
| 5158 | 50261 | 30 |
| 5159 | 50263 | 2 |
| 5160 | 50273 | 10 |
| 5161 | 50287 | 14 |
| 5162 | 50291 | 4 |
Questions
What is the 5159th prime number?
50263.
Which prime number is 50263?
50263 is the 5159th prime number.
What is the sum of the first 5159 primes?
122,316,622.