What is the 3945th prime number?
The 3945th prime number is 37243. The next prime is 37253 (a gap of 10) and the one before is 37223.
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 3945th one is 37243.
- 2
37243 is prime because no prime up to ā37243 ā 192.98 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3945th prime is close to 3945 Ć ln(3945) ā 32665, and here it is 37243.
- 4
37243 has no twin: neither 37241 nor 37245 is prime.
Primes around the 3945th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3942 | 37201 | 2 |
| 3943 | 37217 | 16 |
| 3944 | 37223 | 6 |
| 3945 | 37243 | 20 |
| 3946 | 37253 | 10 |
| 3947 | 37273 | 20 |
| 3948 | 37277 | 4 |
Questions
What is the 3945th prime number?
37243.
Which prime number is 37243?
37243 is the 3945th prime number.
What is the sum of the first 3945 primes?
69,203,070.