What is the 5605th prime number?
The 5605th prime number is 55163. The next prime is 55171 (a gap of 8) and the one before is 55147.
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 5605th one is 55163.
- 2
55163 is prime because no prime up to ā55163 ā 234.87 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5605th prime is close to 5605 Ć ln(5605) ā 48379, and here it is 55163.
- 4
55163 has no twin: neither 55161 nor 55165 is prime.
Primes around the 5605th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5602 | 55117 | 8 |
| 5603 | 55127 | 10 |
| 5604 | 55147 | 20 |
| 5605 | 55163 | 16 |
| 5606 | 55171 | 8 |
| 5607 | 55201 | 30 |
| 5608 | 55207 | 6 |
Questions
What is the 5605th prime number?
55163.
Which prime number is 55163?
55163 is the 5605th prime number.
What is the sum of the first 5605 primes?
145,830,262.