What is the 5608th prime number?
The 5608th prime number is 55207. The next prime is 55213 (a gap of 6) and the one before is 55201.
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 5608th one is 55207.
- 2
55207 is prime because no prime up to ā55207 ā 234.96 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5608th prime is close to 5608 Ć ln(5608) ā 48408, and here it is 55207.
- 4
55207 has no twin: neither 55205 nor 55209 is prime.
Primes around the 5608th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5605 | 55163 | 16 |
| 5606 | 55171 | 8 |
| 5607 | 55201 | 30 |
| 5608 | 55207 | 6 |
| 5609 | 55213 | 6 |
| 5610 | 55217 | 4 |
| 5611 | 55219 | 2 |
Questions
What is the 5608th prime number?
55207.
Which prime number is 55207?
55207 is the 5608th prime number.
What is the sum of the first 5608 primes?
145,995,841.