What is the 5663rd prime number?
The 5663rd prime number is 55813. The next prime is 55817 (a gap of 4) and the one before is 55807.
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 5663rd one is 55813.
- 2
55813 is prime because no prime up to ā55813 ā 236.25 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5663rd prime is close to 5663 Ć ln(5663) ā 48938, and here it is 55813.
- 4
55813 has no twin: neither 55811 nor 55815 is prime.
Primes around the 5663rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5660 | 55793 | 6 |
| 5661 | 55799 | 6 |
| 5662 | 55807 | 8 |
| 5663 | 55813 | 6 |
| 5664 | 55817 | 4 |
| 5665 | 55819 | 2 |
| 5666 | 55823 | 4 |
Questions
What is the 5663rd prime number?
55813.
Which prime number is 55813?
55813 is the 5663rd prime number.
What is the sum of the first 5663 primes?
149,049,494.