What is the 6900th prime number?
The 6900th prime number is 69493. The next prime is 69497 (a gap of 4) and the one before is 69491.
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 6900th one is 69493.
- 2
69493 is prime because no prime up to ā69493 ā 263.62 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6900th prime is close to 6900 Ć ln(6900) ā 60991, and here it is 69493.
- 4
69493 is a twin prime: 69491 and 69493 are both prime.
Primes around the 6900th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6897 | 69473 | 6 |
| 6898 | 69481 | 8 |
| 6899 | 69491 | 10 |
| 6900 | 69493 | 2 |
| 6901 | 69497 | 4 |
| 6902 | 69499 | 2 |
| 6903 | 69539 | 40 |
Questions
What is the 6900th prime number?
69493.
Which prime number is 69493?
69493 is the 6900th prime number.
What is the sum of the first 6900 primes?
226,448,359.