What is the 3803rd prime number?
The 3803rd prime number is 35801. The next prime is 35803 (a gap of 2) and the one before is 35797.
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 3803rd one is 35801.
- 2
35801 is prime because no prime up to ā35801 ā 189.21 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3803rd prime is close to 3803 Ć ln(3803) ā 31350, and here it is 35801.
- 4
35801 is a twin prime: 35801 and 35803 are both prime.
Primes around the 3803rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3800 | 35759 | 6 |
| 3801 | 35771 | 12 |
| 3802 | 35797 | 26 |
| 3803 | 35801 | 4 |
| 3804 | 35803 | 2 |
| 3805 | 35809 | 6 |
| 3806 | 35831 | 22 |
Questions
What is the 3803rd prime number?
35801.
Which prime number is 35801?
35801 is the 3803rd prime number.
What is the sum of the first 3803 primes?
64,017,088.