What is the 3924th prime number?
The 3924th prime number is 37003. The next prime is 37013 (a gap of 10) and the one before is 36997.
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 3924th one is 37003.
- 2
37003 is prime because no prime up to ā37003 ā 192.36 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3924th prime is close to 3924 Ć ln(3924) ā 32471, and here it is 37003.
- 4
37003 has no twin: neither 37001 nor 37005 is prime.
Primes around the 3924th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3921 | 36973 | 26 |
| 3922 | 36979 | 6 |
| 3923 | 36997 | 18 |
| 3924 | 37003 | 6 |
| 3925 | 37013 | 10 |
| 3926 | 37019 | 6 |
| 3927 | 37021 | 2 |
Questions
What is the 3924th prime number?
37003.
Which prime number is 37003?
37003 is the 3924th prime number.
What is the sum of the first 3924 primes?
68,423,465.