What is the 3948th prime number?
The 3948th prime number is 37277. The next prime is 37307 (a gap of 30) and the one before is 37273.
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 3948th one is 37277.
- 2
37277 is prime because no prime up to ā37277 ā 193.07 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3948th prime is close to 3948 Ć ln(3948) ā 32693, and here it is 37277.
- 4
37277 has no twin: neither 37275 nor 37279 is prime.
Primes around the 3948th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3945 | 37243 | 20 |
| 3946 | 37253 | 10 |
| 3947 | 37273 | 20 |
| 3948 | 37277 | 4 |
| 3949 | 37307 | 30 |
| 3950 | 37309 | 2 |
| 3951 | 37313 | 4 |
Questions
What is the 3948th prime number?
37277.
Which prime number is 37277?
37277 is the 3948th prime number.
What is the sum of the first 3948 primes?
69,314,873.