What is the 3790th prime number?
The 3790th prime number is 35593. The next prime is 35597 (a gap of 4) and the one before is 35591.
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 3790th one is 35593.
- 2
35593 is prime because no prime up to ā35593 ā 188.66 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3790th prime is close to 3790 Ć ln(3790) ā 31230, and here it is 35593.
- 4
35593 is a twin prime: 35591 and 35593 are both prime.
Primes around the 3790th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3787 | 35569 | 26 |
| 3788 | 35573 | 4 |
| 3789 | 35591 | 18 |
| 3790 | 35593 | 2 |
| 3791 | 35597 | 4 |
| 3792 | 35603 | 6 |
| 3793 | 35617 | 14 |
Questions
What is the 3790th prime number?
35593.
Which prime number is 35593?
35593 is the 3790th prime number.
What is the sum of the first 3790 primes?
63,552,835.