What is the 68th prime number?
The 68th prime number is 337. The next prime is 347 (a gap of 10) and the one before is 331.
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 68th one is 337.
- 2
337 is prime because no prime up to ā337 ā 18.36 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 68th prime is close to 68 Ć ln(68) ā 287, and here it is 337.
- 4
337 has no twin: neither 335 nor 339 is prime.
Primes around the 68th
| Position | Prime | Gap from the previous |
|---|---|---|
| 65 | 313 | 2 |
| 66 | 317 | 4 |
| 67 | 331 | 14 |
| 68 | 337 | 6 |
| 69 | 347 | 10 |
| 70 | 349 | 2 |
| 71 | 353 | 4 |
Questions
What is the 68th prime number?
337.
Which prime number is 337?
337 is the 68th prime number.
What is the sum of the first 68 primes?
10,191.