What is the 3608th prime number?
The 3608th prime number is 33679. The next prime is 33703 (a gap of 24) and the one before is 33647.
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 3608th one is 33679.
- 2
33679 is prime because no prime up to ā33679 ā 183.52 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3608th prime is close to 3608 Ć ln(3608) ā 29553, and here it is 33679.
- 4
33679 has no twin: neither 33677 nor 33681 is prime.
Primes around the 3608th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3605 | 33637 | 8 |
| 3606 | 33641 | 4 |
| 3607 | 33647 | 6 |
| 3608 | 33679 | 32 |
| 3609 | 33703 | 24 |
| 3610 | 33713 | 10 |
| 3611 | 33721 | 8 |
Questions
What is the 3608th prime number?
33679.
Which prime number is 33679?
33679 is the 3608th prime number.
What is the sum of the first 3608 primes?
57,246,939.