What is the 5657th prime number?
The 5657th prime number is 55733. The next prime is 55763 (a gap of 30) and the one before is 55721.
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 5657th one is 55733.
- 2
55733 is prime because no prime up to ā55733 ā 236.08 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5657th prime is close to 5657 Ć ln(5657) ā 48880, and here it is 55733.
- 4
55733 has no twin: neither 55731 nor 55735 is prime.
Primes around the 5657th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5654 | 55711 | 14 |
| 5655 | 55717 | 6 |
| 5656 | 55721 | 4 |
| 5657 | 55733 | 12 |
| 5658 | 55763 | 30 |
| 5659 | 55787 | 24 |
| 5660 | 55793 | 6 |
Questions
What is the 5657th prime number?
55733.
Which prime number is 55733?
55733 is the 5657th prime number.
What is the sum of the first 5657 primes?
148,714,732.