What is the 5658th prime number?
The 5658th prime number is 55763. The next prime is 55787 (a gap of 24) and the one before is 55733.
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 5658th one is 55763.
- 2
55763 is prime because no prime up to ā55763 ā 236.14 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5658th prime is close to 5658 Ć ln(5658) ā 48890, and here it is 55763.
- 4
55763 has no twin: neither 55761 nor 55765 is prime.
Primes around the 5658th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5655 | 55717 | 6 |
| 5656 | 55721 | 4 |
| 5657 | 55733 | 12 |
| 5658 | 55763 | 30 |
| 5659 | 55787 | 24 |
| 5660 | 55793 | 6 |
| 5661 | 55799 | 6 |
Questions
What is the 5658th prime number?
55763.
Which prime number is 55763?
55763 is the 5658th prime number.
What is the sum of the first 5658 primes?
148,770,495.