What is the 3938th prime number?
The 3938th prime number is 37171. The next prime is 37181 (a gap of 10) and the one before is 37159.
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 3938th one is 37171.
- 2
37171 is prime because no prime up to ā37171 ā 192.80 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3938th prime is close to 3938 Ć ln(3938) ā 32600, and here it is 37171.
- 4
37171 has no twin: neither 37169 nor 37173 is prime.
Primes around the 3938th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3935 | 37123 | 6 |
| 3936 | 37139 | 16 |
| 3937 | 37159 | 20 |
| 3938 | 37171 | 12 |
| 3939 | 37181 | 10 |
| 3940 | 37189 | 8 |
| 3941 | 37199 | 10 |
Questions
What is the 3938th prime number?
37171.
Which prime number is 37171?
37171 is the 3938th prime number.
What is the sum of the first 3938 primes?
68,942,617.