What is the 669th prime number?
The 669th prime number is 4999. The next prime is 5003 (a gap of 4) and the one before is 4993.
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 669th one is 4999.
- 2
4999 is prime because no prime up to ā4999 ā 70.70 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 669th prime is close to 669 Ć ln(669) ā 4352, and here it is 4999.
- 4
4999 has no twin: neither 4997 nor 5001 is prime.
Primes around the 669th
| Position | Prime | Gap from the previous |
|---|---|---|
| 666 | 4973 | 4 |
| 667 | 4987 | 14 |
| 668 | 4993 | 6 |
| 669 | 4999 | 6 |
| 670 | 5003 | 4 |
| 671 | 5009 | 6 |
| 672 | 5011 | 2 |
Questions
What is the 669th prime number?
4999.
Which prime number is 4999?
4999 is the 669th prime number.
What is the sum of the first 669 primes?
1,548,136.