What is the 3612th prime number?
The 3612th prime number is 33739. The next prime is 33749 (a gap of 10) and the one before is 33721.
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 3612th one is 33739.
- 2
33739 is prime because no prime up to ā33739 ā 183.68 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3612th prime is close to 3612 Ć ln(3612) ā 29590, and here it is 33739.
- 4
33739 has no twin: neither 33737 nor 33741 is prime.
Primes around the 3612th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3609 | 33703 | 24 |
| 3610 | 33713 | 10 |
| 3611 | 33721 | 8 |
| 3612 | 33739 | 18 |
| 3613 | 33749 | 10 |
| 3614 | 33751 | 2 |
| 3615 | 33757 | 6 |
Questions
What is the 3612th prime number?
33739.
Which prime number is 33739?
33739 is the 3612th prime number.
What is the sum of the first 3612 primes?
57,381,815.