What is the 5597th prime number?
The 5597th prime number is 55061. The next prime is 55073 (a gap of 12) and the one before is 55057.
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 5597th one is 55061.
- 2
55061 is prime because no prime up to ā55061 ā 234.65 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5597th prime is close to 5597 Ć ln(5597) ā 48302, and here it is 55061.
- 4
55061 has no twin: neither 55059 nor 55063 is prime.
Primes around the 5597th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5594 | 55049 | 28 |
| 5595 | 55051 | 2 |
| 5596 | 55057 | 6 |
| 5597 | 55061 | 4 |
| 5598 | 55073 | 12 |
| 5599 | 55079 | 6 |
| 5600 | 55103 | 24 |
Questions
What is the 5597th prime number?
55061.
Which prime number is 55061?
55061 is the 5597th prime number.
What is the sum of the first 5597 primes?
145,389,344.