What is the 3796th prime number?
The 3796th prime number is 35729. The next prime is 35731 (a gap of 2) and the one before is 35677.
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 3796th one is 35729.
- 2
35729 is prime because no prime up to ā35729 ā 189.02 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3796th prime is close to 3796 Ć ln(3796) ā 31286, and here it is 35729.
- 4
35729 is a twin prime: 35729 and 35731 are both prime.
Primes around the 3796th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3793 | 35617 | 14 |
| 3794 | 35671 | 54 |
| 3795 | 35677 | 6 |
| 3796 | 35729 | 52 |
| 3797 | 35731 | 2 |
| 3798 | 35747 | 16 |
| 3799 | 35753 | 6 |
Questions
What is the 3796th prime number?
35729.
Which prime number is 35729?
35729 is the 3796th prime number.
What is the sum of the first 3796 primes?
63,766,729.