What is the 6982nd prime number?
The 6982nd prime number is 70459. The next prime is 70481 (a gap of 22) and the one before is 70457.
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 6982nd one is 70459.
- 2
70459 is prime because no prime up to ā70459 ā 265.44 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6982nd prime is close to 6982 Ć ln(6982) ā 61798, and here it is 70459.
- 4
70459 is a twin prime: 70457 and 70459 are both prime.
Primes around the 6982nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6979 | 70439 | 10 |
| 6980 | 70451 | 12 |
| 6981 | 70457 | 6 |
| 6982 | 70459 | 2 |
| 6983 | 70481 | 22 |
| 6984 | 70487 | 6 |
| 6985 | 70489 | 2 |
Questions
What is the 6982nd prime number?
70459.
Which prime number is 70459?
70459 is the 6982nd prime number.
What is the sum of the first 6982 primes?
232,190,907.