What is the 609th prime number?
The 609th prime number is 4483. The next prime is 4493 (a gap of 10) and the one before is 4481.
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 609th one is 4483.
- 2
4483 is prime because no prime up to ā4483 ā 66.96 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 609th prime is close to 609 Ć ln(609) ā 3905, and here it is 4483.
- 4
4483 is a twin prime: 4481 and 4483 are both prime.
Primes around the 609th
| Position | Prime | Gap from the previous |
|---|---|---|
| 606 | 4457 | 6 |
| 607 | 4463 | 6 |
| 608 | 4481 | 18 |
| 609 | 4483 | 2 |
| 610 | 4493 | 10 |
| 611 | 4507 | 14 |
| 612 | 4513 | 6 |
Questions
What is the 609th prime number?
4483.
Which prime number is 4483?
4483 is the 609th prime number.
What is the sum of the first 609 primes?
1,263,162.