What is the 4227th prime number?
The 4227th prime number is 40241. The next prime is 40253 (a gap of 12) and the one before is 40237.
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 4227th one is 40241.
- 2
40241 is prime because no prime up to ā40241 ā 200.60 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4227th prime is close to 4227 Ć ln(4227) ā 35292, and here it is 40241.
- 4
40241 has no twin: neither 40239 nor 40243 is prime.
Primes around the 4227th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4224 | 40213 | 20 |
| 4225 | 40231 | 18 |
| 4226 | 40237 | 6 |
| 4227 | 40241 | 4 |
| 4228 | 40253 | 12 |
| 4229 | 40277 | 24 |
| 4230 | 40283 | 6 |
Questions
What is the 4227th prime number?
40241.
Which prime number is 40241?
40241 is the 4227th prime number.
What is the sum of the first 4227 primes?
80,133,744.