What is the 6967th prime number?
The 6967th prime number is 70297. The next prime is 70309 (a gap of 12) and the one before is 70289.
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 6967th one is 70297.
- 2
70297 is prime because no prime up to ā70297 ā 265.14 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6967th prime is close to 6967 Ć ln(6967) ā 61651, and here it is 70297.
- 4
70297 has no twin: neither 70295 nor 70299 is prime.
Primes around the 6967th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6964 | 70249 | 8 |
| 6965 | 70271 | 22 |
| 6966 | 70289 | 18 |
| 6967 | 70297 | 8 |
| 6968 | 70309 | 12 |
| 6969 | 70313 | 4 |
| 6970 | 70321 | 8 |
Questions
What is the 6967th prime number?
70297.
Which prime number is 70297?
70297 is the 6967th prime number.
What is the sum of the first 6967 primes?
231,135,102.