What is the 3944th prime number?
The 3944th prime number is 37223. The next prime is 37243 (a gap of 20) and the one before is 37217.
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 3944th one is 37223.
- 2
37223 is prime because no prime up to ā37223 ā 192.93 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3944th prime is close to 3944 Ć ln(3944) ā 32656, and here it is 37223.
- 4
37223 has no twin: neither 37221 nor 37225 is prime.
Primes around the 3944th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3941 | 37199 | 10 |
| 3942 | 37201 | 2 |
| 3943 | 37217 | 16 |
| 3944 | 37223 | 6 |
| 3945 | 37243 | 20 |
| 3946 | 37253 | 10 |
| 3947 | 37273 | 20 |
Questions
What is the 3944th prime number?
37223.
Which prime number is 37223?
37223 is the 3944th prime number.
What is the sum of the first 3944 primes?
69,165,827.