What is the 6889th prime number?
The 6889th prime number is 69401. The next prime is 69403 (a gap of 2) and the one before is 69389.
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 6889th one is 69401.
- 2
69401 is prime because no prime up to ā69401 ā 263.44 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6889th prime is close to 6889 Ć ln(6889) ā 60883, and here it is 69401.
- 4
69401 is a twin prime: 69401 and 69403 are both prime.
Primes around the 6889th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6886 | 69379 | 8 |
| 6887 | 69383 | 4 |
| 6888 | 69389 | 6 |
| 6889 | 69401 | 12 |
| 6890 | 69403 | 2 |
| 6891 | 69427 | 24 |
| 6892 | 69431 | 4 |
Questions
What is the 6889th prime number?
69401.
Which prime number is 69401?
69401 is the 6889th prime number.
What is the sum of the first 6889 primes?
225,684,334.