What is the 679th prime number?
The 679th prime number is 5081. The next prime is 5087 (a gap of 6) and the one before is 5077.
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 679th one is 5081.
- 2
5081 is prime because no prime up to ā5081 ā 71.28 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 679th prime is close to 679 Ć ln(679) ā 4428, and here it is 5081.
- 4
5081 has no twin: neither 5079 nor 5083 is prime.
Primes around the 679th
| Position | Prime | Gap from the previous |
|---|---|---|
| 676 | 5051 | 12 |
| 677 | 5059 | 8 |
| 678 | 5077 | 18 |
| 679 | 5081 | 4 |
| 680 | 5087 | 6 |
| 681 | 5099 | 12 |
| 682 | 5101 | 2 |
Questions
What is the 679th prime number?
5081.
Which prime number is 5081?
5081 is the 679th prime number.
What is the sum of the first 679 primes?
1,598,510.