What is the 5068th prime number?
The 5068th prime number is 49331. The next prime is 49333 (a gap of 2) and the one before is 49307.
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 5068th one is 49331.
- 2
49331 is prime because no prime up to ā49331 ā 222.11 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5068th prime is close to 5068 Ć ln(5068) ā 43234, and here it is 49331.
- 4
49331 is a twin prime: 49331 and 49333 are both prime.
Primes around the 5068th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5065 | 49279 | 2 |
| 5066 | 49297 | 18 |
| 5067 | 49307 | 10 |
| 5068 | 49331 | 24 |
| 5069 | 49333 | 2 |
| 5070 | 49339 | 6 |
| 5071 | 49363 | 24 |
Questions
What is the 5068th prime number?
49331.
Which prime number is 49331?
49331 is the 5068th prime number.
What is the sum of the first 5068 primes?
117,785,245.