What is the 5596th prime number?
The 5596th prime number is 55057. The next prime is 55061 (a gap of 4) and the one before is 55051.
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 5596th one is 55057.
- 2
55057 is prime because no prime up to ā55057 ā 234.64 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5596th prime is close to 5596 Ć ln(5596) ā 48292, and here it is 55057.
- 4
55057 has no twin: neither 55055 nor 55059 is prime.
Primes around the 5596th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5593 | 55021 | 12 |
| 5594 | 55049 | 28 |
| 5595 | 55051 | 2 |
| 5596 | 55057 | 6 |
| 5597 | 55061 | 4 |
| 5598 | 55073 | 12 |
| 5599 | 55079 | 6 |
Questions
What is the 5596th prime number?
55057.
Which prime number is 55057?
55057 is the 5596th prime number.
What is the sum of the first 5596 primes?
145,334,283.