What is the 6984th prime number?
The 6984th prime number is 70487. The next prime is 70489 (a gap of 2) and the one before is 70481.
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 6984th one is 70487.
- 2
70487 is prime because no prime up to ā70487 ā 265.49 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6984th prime is close to 6984 Ć ln(6984) ā 61818, and here it is 70487.
- 4
70487 is a twin prime: 70487 and 70489 are both prime.
Primes around the 6984th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6981 | 70457 | 6 |
| 6982 | 70459 | 2 |
| 6983 | 70481 | 22 |
| 6984 | 70487 | 6 |
| 6985 | 70489 | 2 |
| 6986 | 70501 | 12 |
| 6987 | 70507 | 6 |
Questions
What is the 6984th prime number?
70487.
Which prime number is 70487?
70487 is the 6984th prime number.
What is the sum of the first 6984 primes?
232,331,875.