What is the 641st prime number?
The 641st prime number is 4759. The next prime is 4783 (a gap of 24) and the one before is 4751.
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 641st one is 4759.
- 2
4759 is prime because no prime up to ā4759 ā 68.99 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 641st prime is close to 641 Ć ln(641) ā 4143, and here it is 4759.
- 4
4759 has no twin: neither 4757 nor 4761 is prime.
Primes around the 641st
| Position | Prime | Gap from the previous |
|---|---|---|
| 638 | 4729 | 6 |
| 639 | 4733 | 4 |
| 640 | 4751 | 18 |
| 641 | 4759 | 8 |
| 642 | 4783 | 24 |
| 643 | 4787 | 4 |
| 644 | 4789 | 2 |
Questions
What is the 641st prime number?
4759.
Which prime number is 4759?
4759 is the 641st prime number.
What is the sum of the first 641 primes?
1,411,154.