What is the 3941st prime number?
The 3941st prime number is 37199. The next prime is 37201 (a gap of 2) and the one before is 37189.
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 3941st one is 37199.
- 2
37199 is prime because no prime up to ā37199 ā 192.87 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3941st prime is close to 3941 Ć ln(3941) ā 32628, and here it is 37199.
- 4
37199 is a twin prime: 37199 and 37201 are both prime.
Primes around the 3941st
| Position | Prime | Gap from the previous |
|---|---|---|
| 3938 | 37171 | 12 |
| 3939 | 37181 | 10 |
| 3940 | 37189 | 8 |
| 3941 | 37199 | 10 |
| 3942 | 37201 | 2 |
| 3943 | 37217 | 16 |
| 3944 | 37223 | 6 |
Questions
What is the 3941st prime number?
37199.
Which prime number is 37199?
37199 is the 3941st prime number.
What is the sum of the first 3941 primes?
69,054,186.