What is the 5655th prime number?
The 5655th prime number is 55717. The next prime is 55721 (a gap of 4) and the one before is 55711.
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 5655th one is 55717.
- 2
55717 is prime because no prime up to ā55717 ā 236.04 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5655th prime is close to 5655 Ć ln(5655) ā 48861, and here it is 55717.
- 4
55717 has no twin: neither 55715 nor 55719 is prime.
Primes around the 5655th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5652 | 55691 | 10 |
| 5653 | 55697 | 6 |
| 5654 | 55711 | 14 |
| 5655 | 55717 | 6 |
| 5656 | 55721 | 4 |
| 5657 | 55733 | 12 |
| 5658 | 55763 | 30 |
Questions
What is the 5655th prime number?
55717.
Which prime number is 55717?
55717 is the 5655th prime number.
What is the sum of the first 5655 primes?
148,603,278.