What is the 5593rd prime number?
The 5593rd prime number is 55021. The next prime is 55049 (a gap of 28) and the one before is 55009.
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 5593rd one is 55021.
- 2
55021 is prime because no prime up to ā55021 ā 234.57 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5593rd prime is close to 5593 Ć ln(5593) ā 48264, and here it is 55021.
- 4
55021 has no twin: neither 55019 nor 55023 is prime.
Primes around the 5593rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5590 | 54983 | 4 |
| 5591 | 55001 | 18 |
| 5592 | 55009 | 8 |
| 5593 | 55021 | 12 |
| 5594 | 55049 | 28 |
| 5595 | 55051 | 2 |
| 5596 | 55057 | 6 |
Questions
What is the 5593rd prime number?
55021.
Which prime number is 55021?
55021 is the 5593rd prime number.
What is the sum of the first 5593 primes?
145,169,126.