What is the 3946th prime number?
The 3946th prime number is 37253. The next prime is 37273 (a gap of 20) and the one before is 37243.
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 3946th one is 37253.
- 2
37253 is prime because no prime up to ā37253 ā 193.01 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3946th prime is close to 3946 Ć ln(3946) ā 32675, and here it is 37253.
- 4
37253 has no twin: neither 37251 nor 37255 is prime.
Primes around the 3946th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3943 | 37217 | 16 |
| 3944 | 37223 | 6 |
| 3945 | 37243 | 20 |
| 3946 | 37253 | 10 |
| 3947 | 37273 | 20 |
| 3948 | 37277 | 4 |
| 3949 | 37307 | 30 |
Questions
What is the 3946th prime number?
37253.
Which prime number is 37253?
37253 is the 3946th prime number.
What is the sum of the first 3946 primes?
69,240,323.