What is the 600th prime number?
The 600th prime number is 4409. The next prime is 4421 (a gap of 12) and the one before is 4397.
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 600th one is 4409.
- 2
4409 is prime because no prime up to ā4409 ā 66.40 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 600th prime is close to 600 Ć ln(600) ā 3838, and here it is 4409.
- 4
4409 has no twin: neither 4407 nor 4411 is prime.
Primes around the 600th
| Position | Prime | Gap from the previous |
|---|---|---|
| 597 | 4373 | 10 |
| 598 | 4391 | 18 |
| 599 | 4397 | 6 |
| 600 | 4409 | 12 |
| 601 | 4421 | 12 |
| 602 | 4423 | 2 |
| 603 | 4441 | 18 |
Questions
What is the 600th prime number?
4409.
Which prime number is 4409?
4409 is the 600th prime number.
What is the sum of the first 600 primes?
1,223,095.