What is the 5598th prime number?
The 5598th prime number is 55073. The next prime is 55079 (a gap of 6) and the one before is 55061.
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 5598th one is 55073.
- 2
55073 is prime because no prime up to ā55073 ā 234.68 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5598th prime is close to 5598 Ć ln(5598) ā 48312, and here it is 55073.
- 4
55073 has no twin: neither 55071 nor 55075 is prime.
Primes around the 5598th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5595 | 55051 | 2 |
| 5596 | 55057 | 6 |
| 5597 | 55061 | 4 |
| 5598 | 55073 | 12 |
| 5599 | 55079 | 6 |
| 5600 | 55103 | 24 |
| 5601 | 55109 | 6 |
Questions
What is the 5598th prime number?
55073.
Which prime number is 55073?
55073 is the 5598th prime number.
What is the sum of the first 5598 primes?
145,444,417.