What is the 6901st prime number?
The 6901st prime number is 69497. The next prime is 69499 (a gap of 2) and the one before is 69493.
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 6901st one is 69497.
- 2
69497 is prime because no prime up to ā69497 ā 263.62 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6901st prime is close to 6901 Ć ln(6901) ā 61001, and here it is 69497.
- 4
69497 is a twin prime: 69497 and 69499 are both prime.
Primes around the 6901st
| Position | Prime | Gap from the previous |
|---|---|---|
| 6898 | 69481 | 8 |
| 6899 | 69491 | 10 |
| 6900 | 69493 | 2 |
| 6901 | 69497 | 4 |
| 6902 | 69499 | 2 |
| 6903 | 69539 | 40 |
| 6904 | 69557 | 18 |
Questions
What is the 6901st prime number?
69497.
Which prime number is 69497?
69497 is the 6901st prime number.
What is the sum of the first 6901 primes?
226,517,856.