What is the 3942nd prime number?
The 3942nd prime number is 37201. The next prime is 37217 (a gap of 16) and the one before is 37199.
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 3942nd one is 37201.
- 2
37201 is prime because no prime up to ā37201 ā 192.88 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3942nd prime is close to 3942 Ć ln(3942) ā 32638, and here it is 37201.
- 4
37201 is a twin prime: 37199 and 37201 are both prime.
Primes around the 3942nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3939 | 37181 | 10 |
| 3940 | 37189 | 8 |
| 3941 | 37199 | 10 |
| 3942 | 37201 | 2 |
| 3943 | 37217 | 16 |
| 3944 | 37223 | 6 |
| 3945 | 37243 | 20 |
Questions
What is the 3942nd prime number?
37201.
Which prime number is 37201?
37201 is the 3942nd prime number.
What is the sum of the first 3942 primes?
69,091,387.