What is the 6892nd prime number?
The 6892nd prime number is 69431. The next prime is 69439 (a gap of 8) and the one before is 69427.
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 6892nd one is 69431.
- 2
69431 is prime because no prime up to ā69431 ā 263.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6892nd prime is close to 6892 Ć ln(6892) ā 60912, and here it is 69431.
- 4
69431 has no twin: neither 69429 nor 69433 is prime.
Primes around the 6892nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6889 | 69401 | 12 |
| 6890 | 69403 | 2 |
| 6891 | 69427 | 24 |
| 6892 | 69431 | 4 |
| 6893 | 69439 | 8 |
| 6894 | 69457 | 18 |
| 6895 | 69463 | 6 |
Questions
What is the 6892nd prime number?
69431.
Which prime number is 69431?
69431 is the 6892nd prime number.
What is the sum of the first 6892 primes?
225,892,595.