What is the 5604th prime number?
The 5604th prime number is 55147. The next prime is 55163 (a gap of 16) and the one before is 55127.
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 5604th one is 55147.
- 2
55147 is prime because no prime up to ā55147 ā 234.83 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5604th prime is close to 5604 Ć ln(5604) ā 48369, and here it is 55147.
- 4
55147 has no twin: neither 55145 nor 55149 is prime.
Primes around the 5604th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5601 | 55109 | 6 |
| 5602 | 55117 | 8 |
| 5603 | 55127 | 10 |
| 5604 | 55147 | 20 |
| 5605 | 55163 | 16 |
| 5606 | 55171 | 8 |
| 5607 | 55201 | 30 |
Questions
What is the 5604th prime number?
55147.
Which prime number is 55147?
55147 is the 5604th prime number.
What is the sum of the first 5604 primes?
145,775,099.