What is the 5595th prime number?
The 5595th prime number is 55051. The next prime is 55057 (a gap of 6) and the one before is 55049.
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 5595th one is 55051.
- 2
55051 is prime because no prime up to ā55051 ā 234.63 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5595th prime is close to 5595 Ć ln(5595) ā 48283, and here it is 55051.
- 4
55051 is a twin prime: 55049 and 55051 are both prime.
Primes around the 5595th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5592 | 55009 | 8 |
| 5593 | 55021 | 12 |
| 5594 | 55049 | 28 |
| 5595 | 55051 | 2 |
| 5596 | 55057 | 6 |
| 5597 | 55061 | 4 |
| 5598 | 55073 | 12 |
Questions
What is the 5595th prime number?
55051.
Which prime number is 55051?
55051 is the 5595th prime number.
What is the sum of the first 5595 primes?
145,279,226.