What is the 3802nd prime number?
The 3802nd prime number is 35797. The next prime is 35801 (a gap of 4) and the one before is 35771.
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 3802nd one is 35797.
- 2
35797 is prime because no prime up to ā35797 ā 189.20 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3802nd prime is close to 3802 Ć ln(3802) ā 31341, and here it is 35797.
- 4
35797 has no twin: neither 35795 nor 35799 is prime.
Primes around the 3802nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3799 | 35753 | 6 |
| 3800 | 35759 | 6 |
| 3801 | 35771 | 12 |
| 3802 | 35797 | 26 |
| 3803 | 35801 | 4 |
| 3804 | 35803 | 2 |
| 3805 | 35809 | 6 |
Questions
What is the 3802nd prime number?
35797.
Which prime number is 35797?
35797 is the 3802nd prime number.
What is the sum of the first 3802 primes?
63,981,287.