What is the 604th prime number?
The 604th prime number is 4447. The next prime is 4451 (a gap of 4) and the one before is 4441.
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 604th one is 4447.
- 2
4447 is prime because no prime up to ā4447 ā 66.69 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 604th prime is close to 604 Ć ln(604) ā 3868, and here it is 4447.
- 4
4447 has no twin: neither 4445 nor 4449 is prime.
Primes around the 604th
| Position | Prime | Gap from the previous |
|---|---|---|
| 601 | 4421 | 12 |
| 602 | 4423 | 2 |
| 603 | 4441 | 18 |
| 604 | 4447 | 6 |
| 605 | 4451 | 4 |
| 606 | 4457 | 6 |
| 607 | 4463 | 6 |
Questions
What is the 604th prime number?
4447.
Which prime number is 4447?
4447 is the 604th prime number.
What is the sum of the first 604 primes?
1,240,827.