What is the 3947th prime number?
The 3947th prime number is 37273. The next prime is 37277 (a gap of 4) and the one before is 37253.
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 3947th one is 37273.
- 2
37273 is prime because no prime up to ā37273 ā 193.06 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3947th prime is close to 3947 Ć ln(3947) ā 32684, and here it is 37273.
- 4
37273 has no twin: neither 37271 nor 37275 is prime.
Primes around the 3947th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3944 | 37223 | 6 |
| 3945 | 37243 | 20 |
| 3946 | 37253 | 10 |
| 3947 | 37273 | 20 |
| 3948 | 37277 | 4 |
| 3949 | 37307 | 30 |
| 3950 | 37309 | 2 |
Questions
What is the 3947th prime number?
37273.
Which prime number is 37273?
37273 is the 3947th prime number.
What is the sum of the first 3947 primes?
69,277,596.