What is the 3795th prime number?
The 3795th prime number is 35677. The next prime is 35729 (a gap of 52) and the one before is 35671.
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 3795th one is 35677.
- 2
35677 is prime because no prime up to ā35677 ā 188.88 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3795th prime is close to 3795 Ć ln(3795) ā 31276, and here it is 35677.
- 4
35677 has no twin: neither 35675 nor 35679 is prime.
Primes around the 3795th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3792 | 35603 | 6 |
| 3793 | 35617 | 14 |
| 3794 | 35671 | 54 |
| 3795 | 35677 | 6 |
| 3796 | 35729 | 52 |
| 3797 | 35731 | 2 |
| 3798 | 35747 | 16 |
Questions
What is the 3795th prime number?
35677.
Which prime number is 35677?
35677 is the 3795th prime number.
What is the sum of the first 3795 primes?
63,731,000.