What is the 5648th prime number?
The 5648th prime number is 55663. The next prime is 55667 (a gap of 4) and the one before is 55661.
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 5648th one is 55663.
- 2
55663 is prime because no prime up to ā55663 ā 235.93 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5648th prime is close to 5648 Ć ln(5648) ā 48793, and here it is 55663.
- 4
55663 is a twin prime: 55661 and 55663 are both prime.
Primes around the 5648th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5645 | 55633 | 2 |
| 5646 | 55639 | 6 |
| 5647 | 55661 | 22 |
| 5648 | 55663 | 2 |
| 5649 | 55667 | 4 |
| 5650 | 55673 | 6 |
| 5651 | 55681 | 8 |
Questions
What is the 5648th prime number?
55663.
Which prime number is 55663?
55663 is the 5648th prime number.
What is the sum of the first 5648 primes?
148,213,441.