What is the 5656th prime number?
The 5656th prime number is 55721. The next prime is 55733 (a gap of 12) and the one before is 55717.
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 5656th one is 55721.
- 2
55721 is prime because no prime up to ā55721 ā 236.05 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5656th prime is close to 5656 Ć ln(5656) ā 48871, and here it is 55721.
- 4
55721 has no twin: neither 55719 nor 55723 is prime.
Primes around the 5656th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5653 | 55697 | 6 |
| 5654 | 55711 | 14 |
| 5655 | 55717 | 6 |
| 5656 | 55721 | 4 |
| 5657 | 55733 | 12 |
| 5658 | 55763 | 30 |
| 5659 | 55787 | 24 |
Questions
What is the 5656th prime number?
55721.
Which prime number is 55721?
55721 is the 5656th prime number.
What is the sum of the first 5656 primes?
148,658,999.