What is the 5653rd prime number?
The 5653rd prime number is 55697. The next prime is 55711 (a gap of 14) and the one before is 55691.
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 5653rd one is 55697.
- 2
55697 is prime because no prime up to ā55697 ā 236.00 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5653rd prime is close to 5653 Ć ln(5653) ā 48842, and here it is 55697.
- 4
55697 has no twin: neither 55695 nor 55699 is prime.
Primes around the 5653rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5650 | 55673 | 6 |
| 5651 | 55681 | 8 |
| 5652 | 55691 | 10 |
| 5653 | 55697 | 6 |
| 5654 | 55711 | 14 |
| 5655 | 55717 | 6 |
| 5656 | 55721 | 4 |
Questions
What is the 5653rd prime number?
55697.
Which prime number is 55697?
55697 is the 5653rd prime number.
What is the sum of the first 5653 primes?
148,491,850.