What is the 5645th prime number?
The 5645th prime number is 55633. The next prime is 55639 (a gap of 6) and the one before is 55631.
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 5645th one is 55633.
- 2
55633 is prime because no prime up to ā55633 ā 235.87 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5645th prime is close to 5645 Ć ln(5645) ā 48764, and here it is 55633.
- 4
55633 is a twin prime: 55631 and 55633 are both prime.
Primes around the 5645th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5642 | 55619 | 10 |
| 5643 | 55621 | 2 |
| 5644 | 55631 | 10 |
| 5645 | 55633 | 2 |
| 5646 | 55639 | 6 |
| 5647 | 55661 | 22 |
| 5648 | 55663 | 2 |
Questions
What is the 5645th prime number?
55633.
Which prime number is 55633?
55633 is the 5645th prime number.
What is the sum of the first 5645 primes?
148,046,478.