What is the 3920th prime number?
The 3920th prime number is 36947. The next prime is 36973 (a gap of 26) and the one before is 36943.
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 3920th one is 36947.
- 2
36947 is prime because no prime up to ā36947 ā 192.22 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3920th prime is close to 3920 Ć ln(3920) ā 32433, and here it is 36947.
- 4
36947 has no twin: neither 36945 nor 36949 is prime.
Primes around the 3920th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3917 | 36929 | 6 |
| 3918 | 36931 | 2 |
| 3919 | 36943 | 12 |
| 3920 | 36947 | 4 |
| 3921 | 36973 | 26 |
| 3922 | 36979 | 6 |
| 3923 | 36997 | 18 |
Questions
What is the 3920th prime number?
36947.
Which prime number is 36947?
36947 is the 3920th prime number.
What is the sum of the first 3920 primes?
68,275,513.