What is the 3958th prime number?
The 3958th prime number is 37369. The next prime is 37379 (a gap of 10) and the one before is 37363.
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 3958th one is 37369.
- 2
37369 is prime because no prime up to ā37369 ā 193.31 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3958th prime is close to 3958 Ć ln(3958) ā 32786, and here it is 37369.
- 4
37369 has no twin: neither 37367 nor 37371 is prime.
Primes around the 3958th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3955 | 37357 | 18 |
| 3956 | 37361 | 4 |
| 3957 | 37363 | 2 |
| 3958 | 37369 | 6 |
| 3959 | 37379 | 10 |
| 3960 | 37397 | 18 |
| 3961 | 37409 | 12 |
Questions
What is the 3958th prime number?
37369.
Which prime number is 37369?
37369 is the 3958th prime number.
What is the sum of the first 3958 primes?
69,688,249.