What is the 3613th prime number?
The 3613th prime number is 33749. The next prime is 33751 (a gap of 2) and the one before is 33739.
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 3613th one is 33749.
- 2
33749 is prime because no prime up to ā33749 ā 183.71 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3613th prime is close to 3613 Ć ln(3613) ā 29599, and here it is 33749.
- 4
33749 is a twin prime: 33749 and 33751 are both prime.
Primes around the 3613th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3610 | 33713 | 10 |
| 3611 | 33721 | 8 |
| 3612 | 33739 | 18 |
| 3613 | 33749 | 10 |
| 3614 | 33751 | 2 |
| 3615 | 33757 | 6 |
| 3616 | 33767 | 10 |
Questions
What is the 3613th prime number?
33749.
Which prime number is 33749?
33749 is the 3613th prime number.
What is the sum of the first 3613 primes?
57,415,564.