What is the 3940th prime number?
The 3940th prime number is 37189. The next prime is 37199 (a gap of 10) and the one before is 37181.
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 3940th one is 37189.
- 2
37189 is prime because no prime up to ā37189 ā 192.84 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3940th prime is close to 3940 Ć ln(3940) ā 32619, and here it is 37189.
- 4
37189 has no twin: neither 37187 nor 37191 is prime.
Primes around the 3940th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3937 | 37159 | 20 |
| 3938 | 37171 | 12 |
| 3939 | 37181 | 10 |
| 3940 | 37189 | 8 |
| 3941 | 37199 | 10 |
| 3942 | 37201 | 2 |
| 3943 | 37217 | 16 |
Questions
What is the 3940th prime number?
37189.
Which prime number is 37189?
37189 is the 3940th prime number.
What is the sum of the first 3940 primes?
69,016,987.