What is the 639th prime number?
The 639th prime number is 4733. The next prime is 4751 (a gap of 18) and the one before is 4729.
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 639th one is 4733.
- 2
4733 is prime because no prime up to ā4733 ā 68.80 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 639th prime is close to 639 Ć ln(639) ā 4128, and here it is 4733.
- 4
4733 has no twin: neither 4731 nor 4735 is prime.
Primes around the 639th
| Position | Prime | Gap from the previous |
|---|---|---|
| 636 | 4721 | 18 |
| 637 | 4723 | 2 |
| 638 | 4729 | 6 |
| 639 | 4733 | 4 |
| 640 | 4751 | 18 |
| 641 | 4759 | 8 |
| 642 | 4783 | 24 |
Questions
What is the 639th prime number?
4733.
Which prime number is 4733?
4733 is the 639th prime number.
What is the sum of the first 639 primes?
1,401,644.