What is the 3957th prime number?
The 3957th prime number is 37363. The next prime is 37369 (a gap of 6) and the one before is 37361.
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 3957th one is 37363.
- 2
37363 is prime because no prime up to ā37363 ā 193.30 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3957th prime is close to 3957 Ć ln(3957) ā 32777, and here it is 37363.
- 4
37363 is a twin prime: 37361 and 37363 are both prime.
Primes around the 3957th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3954 | 37339 | 2 |
| 3955 | 37357 | 18 |
| 3956 | 37361 | 4 |
| 3957 | 37363 | 2 |
| 3958 | 37369 | 6 |
| 3959 | 37379 | 10 |
| 3960 | 37397 | 18 |
Questions
What is the 3957th prime number?
37363.
Which prime number is 37363?
37363 is the 3957th prime number.
What is the sum of the first 3957 primes?
69,650,880.