What is the 3950th prime number?
The 3950th prime number is 37309. The next prime is 37313 (a gap of 4) and the one before is 37307.
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 3950th one is 37309.
- 2
37309 is prime because no prime up to ā37309 ā 193.16 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3950th prime is close to 3950 Ć ln(3950) ā 32712, and here it is 37309.
- 4
37309 is a twin prime: 37307 and 37309 are both prime.
Primes around the 3950th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3947 | 37273 | 20 |
| 3948 | 37277 | 4 |
| 3949 | 37307 | 30 |
| 3950 | 37309 | 2 |
| 3951 | 37313 | 4 |
| 3952 | 37321 | 8 |
| 3953 | 37337 | 16 |
Questions
What is the 3950th prime number?
37309.
Which prime number is 37309?
37309 is the 3950th prime number.
What is the sum of the first 3950 primes?
69,389,489.