What is the 6968th prime number?
The 6968th prime number is 70309. The next prime is 70313 (a gap of 4) and the one before is 70297.
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 6968th one is 70309.
- 2
70309 is prime because no prime up to ā70309 ā 265.16 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6968th prime is close to 6968 Ć ln(6968) ā 61660, and here it is 70309.
- 4
70309 has no twin: neither 70307 nor 70311 is prime.
Primes around the 6968th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6965 | 70271 | 22 |
| 6966 | 70289 | 18 |
| 6967 | 70297 | 8 |
| 6968 | 70309 | 12 |
| 6969 | 70313 | 4 |
| 6970 | 70321 | 8 |
| 6971 | 70327 | 6 |
Questions
What is the 6968th prime number?
70309.
Which prime number is 70309?
70309 is the 6968th prime number.
What is the sum of the first 6968 primes?
231,205,411.