What is the 3943rd prime number?
The 3943rd prime number is 37217. The next prime is 37223 (a gap of 6) and the one before is 37201.
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 3943rd one is 37217.
- 2
37217 is prime because no prime up to ā37217 ā 192.92 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3943rd prime is close to 3943 Ć ln(3943) ā 32647, and here it is 37217.
- 4
37217 has no twin: neither 37215 nor 37219 is prime.
Primes around the 3943rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3940 | 37189 | 8 |
| 3941 | 37199 | 10 |
| 3942 | 37201 | 2 |
| 3943 | 37217 | 16 |
| 3944 | 37223 | 6 |
| 3945 | 37243 | 20 |
| 3946 | 37253 | 10 |
Questions
What is the 3943rd prime number?
37217.
Which prime number is 37217?
37217 is the 3943rd prime number.
What is the sum of the first 3943 primes?
69,128,604.