What is the 69th prime number?
The 69th prime number is 347. The next prime is 349 (a gap of 2) and the one before is 337.
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 69th one is 347.
- 2
347 is prime because no prime up to ā347 ā 18.63 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 69th prime is close to 69 Ć ln(69) ā 292, and here it is 347.
- 4
347 is a twin prime: 347 and 349 are both prime.
Primes around the 69th
| Position | Prime | Gap from the previous |
|---|---|---|
| 66 | 317 | 4 |
| 67 | 331 | 14 |
| 68 | 337 | 6 |
| 69 | 347 | 10 |
| 70 | 349 | 2 |
| 71 | 353 | 4 |
| 72 | 359 | 6 |
Questions
What is the 69th prime number?
347.
Which prime number is 347?
347 is the 69th prime number.
What is the sum of the first 69 primes?
10,538.