What is the 3789th prime number?
The 3789th prime number is 35591. The next prime is 35593 (a gap of 2) and the one before is 35573.
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 3789th one is 35591.
- 2
35591 is prime because no prime up to ā35591 ā 188.66 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3789th prime is close to 3789 Ć ln(3789) ā 31221, and here it is 35591.
- 4
35591 is a twin prime: 35591 and 35593 are both prime.
Primes around the 3789th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3786 | 35543 | 6 |
| 3787 | 35569 | 26 |
| 3788 | 35573 | 4 |
| 3789 | 35591 | 18 |
| 3790 | 35593 | 2 |
| 3791 | 35597 | 4 |
| 3792 | 35603 | 6 |
Questions
What is the 3789th prime number?
35591.
Which prime number is 35591?
35591 is the 3789th prime number.
What is the sum of the first 3789 primes?
63,517,242.