What is the 3959th prime number?
The 3959th prime number is 37379. The next prime is 37397 (a gap of 18) and the one before is 37369.
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 3959th one is 37379.
- 2
37379 is prime because no prime up to ā37379 ā 193.34 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3959th prime is close to 3959 Ć ln(3959) ā 32795, and here it is 37379.
- 4
37379 has no twin: neither 37377 nor 37381 is prime.
Primes around the 3959th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3956 | 37361 | 4 |
| 3957 | 37363 | 2 |
| 3958 | 37369 | 6 |
| 3959 | 37379 | 10 |
| 3960 | 37397 | 18 |
| 3961 | 37409 | 12 |
| 3962 | 37423 | 14 |
Questions
What is the 3959th prime number?
37379.
Which prime number is 37379?
37379 is the 3959th prime number.
What is the sum of the first 3959 primes?
69,725,628.