What is the 3949th prime number?
The 3949th prime number is 37307. The next prime is 37309 (a gap of 2) and the one before is 37277.
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 3949th one is 37307.
- 2
37307 is prime because no prime up to ā37307 ā 193.15 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3949th prime is close to 3949 Ć ln(3949) ā 32703, and here it is 37307.
- 4
37307 is a twin prime: 37307 and 37309 are both prime.
Primes around the 3949th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3946 | 37253 | 10 |
| 3947 | 37273 | 20 |
| 3948 | 37277 | 4 |
| 3949 | 37307 | 30 |
| 3950 | 37309 | 2 |
| 3951 | 37313 | 4 |
| 3952 | 37321 | 8 |
Questions
What is the 3949th prime number?
37307.
Which prime number is 37307?
37307 is the 3949th prime number.
What is the sum of the first 3949 primes?
69,352,180.