What is the 5643rd prime number?
The 5643rd prime number is 55621. The next prime is 55631 (a gap of 10) and the one before is 55619.
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 5643rd one is 55621.
- 2
55621 is prime because no prime up to ā55621 ā 235.84 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5643rd prime is close to 5643 Ć ln(5643) ā 48745, and here it is 55621.
- 4
55621 is a twin prime: 55619 and 55621 are both prime.
Primes around the 5643rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5640 | 55603 | 14 |
| 5641 | 55609 | 6 |
| 5642 | 55619 | 10 |
| 5643 | 55621 | 2 |
| 5644 | 55631 | 10 |
| 5645 | 55633 | 2 |
| 5646 | 55639 | 6 |
Questions
What is the 5643rd prime number?
55621.
Which prime number is 55621?
55621 is the 5643rd prime number.
What is the sum of the first 5643 primes?
147,935,214.