What is the 3793rd prime number?
The 3793rd prime number is 35617. The next prime is 35671 (a gap of 54) and the one before is 35603.
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 3793rd one is 35617.
- 2
35617 is prime because no prime up to ā35617 ā 188.72 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3793rd prime is close to 3793 Ć ln(3793) ā 31258, and here it is 35617.
- 4
35617 has no twin: neither 35615 nor 35619 is prime.
Primes around the 3793rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3790 | 35593 | 2 |
| 3791 | 35597 | 4 |
| 3792 | 35603 | 6 |
| 3793 | 35617 | 14 |
| 3794 | 35671 | 54 |
| 3795 | 35677 | 6 |
| 3796 | 35729 | 52 |
Questions
What is the 3793rd prime number?
35617.
Which prime number is 35617?
35617 is the 3793rd prime number.
What is the sum of the first 3793 primes?
63,659,652.