What is the 682nd prime number?
The 682nd prime number is 5101. The next prime is 5107 (a gap of 6) and the one before is 5099.
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 682nd one is 5101.
- 2
5101 is prime because no prime up to ā5101 ā 71.42 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 682nd prime is close to 682 Ć ln(682) ā 4450, and here it is 5101.
- 4
5101 is a twin prime: 5099 and 5101 are both prime.
Primes around the 682nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 679 | 5081 | 4 |
| 680 | 5087 | 6 |
| 681 | 5099 | 12 |
| 682 | 5101 | 2 |
| 683 | 5107 | 6 |
| 684 | 5113 | 6 |
| 685 | 5119 | 6 |
Questions
What is the 682nd prime number?
5101.
Which prime number is 5101?
5101 is the 682nd prime number.
What is the sum of the first 682 primes?
1,613,797.