What is the 3609th prime number?
The 3609th prime number is 33703. The next prime is 33713 (a gap of 10) and the one before is 33679.
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 3609th one is 33703.
- 2
33703 is prime because no prime up to ā33703 ā 183.58 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3609th prime is close to 3609 Ć ln(3609) ā 29562, and here it is 33703.
- 4
33703 has no twin: neither 33701 nor 33705 is prime.
Primes around the 3609th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3606 | 33641 | 4 |
| 3607 | 33647 | 6 |
| 3608 | 33679 | 32 |
| 3609 | 33703 | 24 |
| 3610 | 33713 | 10 |
| 3611 | 33721 | 8 |
| 3612 | 33739 | 18 |
Questions
What is the 3609th prime number?
33703.
Which prime number is 33703?
33703 is the 3609th prime number.
What is the sum of the first 3609 primes?
57,280,642.