What is the 6969th prime number?
The 6969th prime number is 70313. The next prime is 70321 (a gap of 8) and the one before is 70309.
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 6969th one is 70313.
- 2
70313 is prime because no prime up to ā70313 ā 265.17 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6969th prime is close to 6969 Ć ln(6969) ā 61670, and here it is 70313.
- 4
70313 has no twin: neither 70311 nor 70315 is prime.
Primes around the 6969th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6966 | 70289 | 18 |
| 6967 | 70297 | 8 |
| 6968 | 70309 | 12 |
| 6969 | 70313 | 4 |
| 6970 | 70321 | 8 |
| 6971 | 70327 | 6 |
| 6972 | 70351 | 24 |
Questions
What is the 6969th prime number?
70313.
Which prime number is 70313?
70313 is the 6969th prime number.
What is the sum of the first 6969 primes?
231,275,724.