What is the 5644th prime number?
The 5644th prime number is 55631. The next prime is 55633 (a gap of 2) and the one before is 55621.
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 5644th one is 55631.
- 2
55631 is prime because no prime up to ā55631 ā 235.86 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5644th prime is close to 5644 Ć ln(5644) ā 48755, and here it is 55631.
- 4
55631 is a twin prime: 55631 and 55633 are both prime.
Primes around the 5644th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5641 | 55609 | 6 |
| 5642 | 55619 | 10 |
| 5643 | 55621 | 2 |
| 5644 | 55631 | 10 |
| 5645 | 55633 | 2 |
| 5646 | 55639 | 6 |
| 5647 | 55661 | 22 |
Questions
What is the 5644th prime number?
55631.
Which prime number is 55631?
55631 is the 5644th prime number.
What is the sum of the first 5644 primes?
147,990,845.