What is the 3600th prime number?
The 3600th prime number is 33613. The next prime is 33617 (a gap of 4) and the one before is 33601.
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 3600th one is 33613.
- 2
33613 is prime because no prime up to ā33613 ā 183.34 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3600th prime is close to 3600 Ć ln(3600) ā 29479, and here it is 33613.
- 4
33613 has no twin: neither 33611 nor 33615 is prime.
Primes around the 3600th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3597 | 33589 | 2 |
| 3598 | 33599 | 10 |
| 3599 | 33601 | 2 |
| 3600 | 33613 | 12 |
| 3601 | 33617 | 4 |
| 3602 | 33619 | 2 |
| 3603 | 33623 | 4 |
Questions
What is the 3600th prime number?
33613.
Which prime number is 33613?
33613 is the 3600th prime number.
What is the sum of the first 3600 primes?
56,977,847.