What is the 6893rd prime number?
The 6893rd prime number is 69439. The next prime is 69457 (a gap of 18) and the one before is 69431.
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 6893rd one is 69439.
- 2
69439 is prime because no prime up to ā69439 ā 263.51 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6893rd prime is close to 6893 Ć ln(6893) ā 60922, and here it is 69439.
- 4
69439 has no twin: neither 69437 nor 69441 is prime.
Primes around the 6893rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6890 | 69403 | 2 |
| 6891 | 69427 | 24 |
| 6892 | 69431 | 4 |
| 6893 | 69439 | 8 |
| 6894 | 69457 | 18 |
| 6895 | 69463 | 6 |
| 6896 | 69467 | 4 |
Questions
What is the 6893rd prime number?
69439.
Which prime number is 69439?
69439 is the 6893rd prime number.
What is the sum of the first 6893 primes?
225,962,034.