What is the 5592nd prime number?
The 5592nd prime number is 55009. The next prime is 55021 (a gap of 12) and the one before is 55001.
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 5592nd one is 55009.
- 2
55009 is prime because no prime up to ā55009 ā 234.54 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5592nd prime is close to 5592 Ć ln(5592) ā 48254, and here it is 55009.
- 4
55009 has no twin: neither 55007 nor 55011 is prime.
Primes around the 5592nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5589 | 54979 | 6 |
| 5590 | 54983 | 4 |
| 5591 | 55001 | 18 |
| 5592 | 55009 | 8 |
| 5593 | 55021 | 12 |
| 5594 | 55049 | 28 |
| 5595 | 55051 | 2 |
Questions
What is the 5592nd prime number?
55009.
Which prime number is 55009?
55009 is the 5592nd prime number.
What is the sum of the first 5592 primes?
145,114,105.