What is the 4228th prime number?
The 4228th prime number is 40253. The next prime is 40277 (a gap of 24) and the one before is 40241.
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 4228th one is 40253.
- 2
40253 is prime because no prime up to ā40253 ā 200.63 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4228th prime is close to 4228 Ć ln(4228) ā 35302, and here it is 40253.
- 4
40253 has no twin: neither 40251 nor 40255 is prime.
Primes around the 4228th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4225 | 40231 | 18 |
| 4226 | 40237 | 6 |
| 4227 | 40241 | 4 |
| 4228 | 40253 | 12 |
| 4229 | 40277 | 24 |
| 4230 | 40283 | 6 |
| 4231 | 40289 | 6 |
Questions
What is the 4228th prime number?
40253.
Which prime number is 40253?
40253 is the 4228th prime number.
What is the sum of the first 4228 primes?
80,173,997.