What is the 3823rd prime number?
The 3823rd prime number is 35993. The next prime is 35999 (a gap of 6) and the one before is 35983.
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 3823rd one is 35993.
- 2
35993 is prime because no prime up to ā35993 ā 189.72 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3823rd prime is close to 3823 Ć ln(3823) ā 31535, and here it is 35993.
- 4
35993 has no twin: neither 35991 nor 35995 is prime.
Primes around the 3823rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3820 | 35969 | 6 |
| 3821 | 35977 | 8 |
| 3822 | 35983 | 6 |
| 3823 | 35993 | 10 |
| 3824 | 35999 | 6 |
| 3825 | 36007 | 8 |
| 3826 | 36011 | 4 |
Questions
What is the 3823rd prime number?
35993.
Which prime number is 35993?
35993 is the 3823rd prime number.
What is the sum of the first 3823 primes?
64,735,068.