What is the 3939th prime number?
The 3939th prime number is 37181. The next prime is 37189 (a gap of 8) and the one before is 37171.
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 3939th one is 37181.
- 2
37181 is prime because no prime up to ā37181 ā 192.82 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3939th prime is close to 3939 Ć ln(3939) ā 32610, and here it is 37181.
- 4
37181 has no twin: neither 37179 nor 37183 is prime.
Primes around the 3939th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3936 | 37139 | 16 |
| 3937 | 37159 | 20 |
| 3938 | 37171 | 12 |
| 3939 | 37181 | 10 |
| 3940 | 37189 | 8 |
| 3941 | 37199 | 10 |
| 3942 | 37201 | 2 |
Questions
What is the 3939th prime number?
37181.
Which prime number is 37181?
37181 is the 3939th prime number.
What is the sum of the first 3939 primes?
68,979,798.