What is the 6966th prime number?
The 6966th prime number is 70289. The next prime is 70297 (a gap of 8) and the one before is 70271.
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 6966th one is 70289.
- 2
70289 is prime because no prime up to ā70289 ā 265.12 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6966th prime is close to 6966 Ć ln(6966) ā 61641, and here it is 70289.
- 4
70289 has no twin: neither 70287 nor 70291 is prime.
Primes around the 6966th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6963 | 70241 | 4 |
| 6964 | 70249 | 8 |
| 6965 | 70271 | 22 |
| 6966 | 70289 | 18 |
| 6967 | 70297 | 8 |
| 6968 | 70309 | 12 |
| 6969 | 70313 | 4 |
Questions
What is the 6966th prime number?
70289.
Which prime number is 70289?
70289 is the 6966th prime number.
What is the sum of the first 6966 primes?
231,064,805.