What is the 3797th prime number?
The 3797th prime number is 35731. The next prime is 35747 (a gap of 16) and the one before is 35729.
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 3797th one is 35731.
- 2
35731 is prime because no prime up to ā35731 ā 189.03 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3797th prime is close to 3797 Ć ln(3797) ā 31295, and here it is 35731.
- 4
35731 is a twin prime: 35729 and 35731 are both prime.
Primes around the 3797th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3794 | 35671 | 54 |
| 3795 | 35677 | 6 |
| 3796 | 35729 | 52 |
| 3797 | 35731 | 2 |
| 3798 | 35747 | 16 |
| 3799 | 35753 | 6 |
| 3800 | 35759 | 6 |
Questions
What is the 3797th prime number?
35731.
Which prime number is 35731?
35731 is the 3797th prime number.
What is the sum of the first 3797 primes?
63,802,460.