What is the 3794th prime number?
The 3794th prime number is 35671. The next prime is 35677 (a gap of 6) and the one before is 35617.
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 3794th one is 35671.
- 2
35671 is prime because no prime up to ā35671 ā 188.87 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3794th prime is close to 3794 Ć ln(3794) ā 31267, and here it is 35671.
- 4
35671 has no twin: neither 35669 nor 35673 is prime.
Primes around the 3794th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3791 | 35597 | 4 |
| 3792 | 35603 | 6 |
| 3793 | 35617 | 14 |
| 3794 | 35671 | 54 |
| 3795 | 35677 | 6 |
| 3796 | 35729 | 52 |
| 3797 | 35731 | 2 |
Questions
What is the 3794th prime number?
35671.
Which prime number is 35671?
35671 is the 3794th prime number.
What is the sum of the first 3794 primes?
63,695,323.