What is the 3956th prime number?
The 3956th prime number is 37361. The next prime is 37363 (a gap of 2) and the one before is 37357.
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 3956th one is 37361.
- 2
37361 is prime because no prime up to ā37361 ā 193.29 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3956th prime is close to 3956 Ć ln(3956) ā 32768, and here it is 37361.
- 4
37361 is a twin prime: 37361 and 37363 are both prime.
Primes around the 3956th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3953 | 37337 | 16 |
| 3954 | 37339 | 2 |
| 3955 | 37357 | 18 |
| 3956 | 37361 | 4 |
| 3957 | 37363 | 2 |
| 3958 | 37369 | 6 |
| 3959 | 37379 | 10 |
Questions
What is the 3956th prime number?
37361.
Which prime number is 37361?
37361 is the 3956th prime number.
What is the sum of the first 3956 primes?
69,613,517.