What is the 6902nd prime number?
The 6902nd prime number is 69499. The next prime is 69539 (a gap of 40) and the one before is 69497.
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 6902nd one is 69499.
- 2
69499 is prime because no prime up to ā69499 ā 263.63 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6902nd prime is close to 6902 Ć ln(6902) ā 61011, and here it is 69499.
- 4
69499 is a twin prime: 69497 and 69499 are both prime.
Primes around the 6902nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6899 | 69491 | 10 |
| 6900 | 69493 | 2 |
| 6901 | 69497 | 4 |
| 6902 | 69499 | 2 |
| 6903 | 69539 | 40 |
| 6904 | 69557 | 18 |
| 6905 | 69593 | 36 |
Questions
What is the 6902nd prime number?
69499.
Which prime number is 69499?
69499 is the 6902nd prime number.
What is the sum of the first 6902 primes?
226,587,355.