What is the 5069th prime number?
The 5069th prime number is 49333. The next prime is 49339 (a gap of 6) and the one before is 49331.
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 5069th one is 49333.
- 2
49333 is prime because no prime up to ā49333 ā 222.11 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5069th prime is close to 5069 Ć ln(5069) ā 43243, and here it is 49333.
- 4
49333 is a twin prime: 49331 and 49333 are both prime.
Primes around the 5069th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5066 | 49297 | 18 |
| 5067 | 49307 | 10 |
| 5068 | 49331 | 24 |
| 5069 | 49333 | 2 |
| 5070 | 49339 | 6 |
| 5071 | 49363 | 24 |
| 5072 | 49367 | 4 |
Questions
What is the 5069th prime number?
49333.
Which prime number is 49333?
49333 is the 5069th prime number.
What is the sum of the first 5069 primes?
117,834,578.