What is the 3818th prime number?
The 3818th prime number is 35951. The next prime is 35963 (a gap of 12) and the one before is 35933.
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 3818th one is 35951.
- 2
35951 is prime because no prime up to ā35951 ā 189.61 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3818th prime is close to 3818 Ć ln(3818) ā 31489, and here it is 35951.
- 4
35951 has no twin: neither 35949 nor 35953 is prime.
Primes around the 3818th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3815 | 35911 | 12 |
| 3816 | 35923 | 12 |
| 3817 | 35933 | 10 |
| 3818 | 35951 | 18 |
| 3819 | 35963 | 12 |
| 3820 | 35969 | 6 |
| 3821 | 35977 | 8 |
Questions
What is the 3818th prime number?
35951.
Which prime number is 35951?
35951 is the 3818th prime number.
What is the sum of the first 3818 primes?
64,555,183.