What is the 5599th prime number?
The 5599th prime number is 55079. The next prime is 55103 (a gap of 24) and the one before is 55073.
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 5599th one is 55079.
- 2
55079 is prime because no prime up to ā55079 ā 234.69 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5599th prime is close to 5599 Ć ln(5599) ā 48321, and here it is 55079.
- 4
55079 has no twin: neither 55077 nor 55081 is prime.
Primes around the 5599th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5596 | 55057 | 6 |
| 5597 | 55061 | 4 |
| 5598 | 55073 | 12 |
| 5599 | 55079 | 6 |
| 5600 | 55103 | 24 |
| 5601 | 55109 | 6 |
| 5602 | 55117 | 8 |
Questions
What is the 5599th prime number?
55079.
Which prime number is 55079?
55079 is the 5599th prime number.
What is the sum of the first 5599 primes?
145,499,496.