What is the 6604th prime number?
The 6604th prime number is 66161. The next prime is 66169 (a gap of 8) and the one before is 66137.
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 6604th one is 66161.
- 2
66161 is prime because no prime up to ā66161 ā 257.22 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6604th prime is close to 6604 Ć ln(6604) ā 58085, and here it is 66161.
- 4
66161 has no twin: neither 66159 nor 66163 is prime.
Primes around the 6604th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6601 | 66107 | 4 |
| 6602 | 66109 | 2 |
| 6603 | 66137 | 28 |
| 6604 | 66161 | 24 |
| 6605 | 66169 | 8 |
| 6606 | 66173 | 4 |
| 6607 | 66179 | 6 |
Questions
What is the 6604th prime number?
66161.
Which prime number is 66161?
66161 is the 6604th prime number.
What is the sum of the first 6604 primes?
206,368,743.