What is the 6891st prime number?
The 6891st prime number is 69427. The next prime is 69431 (a gap of 4) and the one before is 69403.
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 6891st one is 69427.
- 2
69427 is prime because no prime up to ā69427 ā 263.49 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6891st prime is close to 6891 Ć ln(6891) ā 60902, and here it is 69427.
- 4
69427 has no twin: neither 69425 nor 69429 is prime.
Primes around the 6891st
| Position | Prime | Gap from the previous |
|---|---|---|
| 6888 | 69389 | 6 |
| 6889 | 69401 | 12 |
| 6890 | 69403 | 2 |
| 6891 | 69427 | 24 |
| 6892 | 69431 | 4 |
| 6893 | 69439 | 8 |
| 6894 | 69457 | 18 |
Questions
What is the 6891st prime number?
69427.
Which prime number is 69427?
69427 is the 6891st prime number.
What is the sum of the first 6891 primes?
225,823,164.