What is the 608th prime number?
The 608th prime number is 4481. The next prime is 4483 (a gap of 2) and the one before is 4463.
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 608th one is 4481.
- 2
4481 is prime because no prime up to ā4481 ā 66.94 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 608th prime is close to 608 Ć ln(608) ā 3897, and here it is 4481.
- 4
4481 is a twin prime: 4481 and 4483 are both prime.
Primes around the 608th
| Position | Prime | Gap from the previous |
|---|---|---|
| 605 | 4451 | 4 |
| 606 | 4457 | 6 |
| 607 | 4463 | 6 |
| 608 | 4481 | 18 |
| 609 | 4483 | 2 |
| 610 | 4493 | 10 |
| 611 | 4507 | 14 |
Questions
What is the 608th prime number?
4481.
Which prime number is 4481?
4481 is the 608th prime number.
What is the sum of the first 608 primes?
1,258,679.