What is the 3792nd prime number?
The 3792nd prime number is 35603. The next prime is 35617 (a gap of 14) and the one before is 35597.
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 3792nd one is 35603.
- 2
35603 is prime because no prime up to ā35603 ā 188.69 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3792nd prime is close to 3792 Ć ln(3792) ā 31249, and here it is 35603.
- 4
35603 has no twin: neither 35601 nor 35605 is prime.
Primes around the 3792nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3789 | 35591 | 18 |
| 3790 | 35593 | 2 |
| 3791 | 35597 | 4 |
| 3792 | 35603 | 6 |
| 3793 | 35617 | 14 |
| 3794 | 35671 | 54 |
| 3795 | 35677 | 6 |
Questions
What is the 3792nd prime number?
35603.
Which prime number is 35603?
35603 is the 3792nd prime number.
What is the sum of the first 3792 primes?
63,624,035.