What is the 4225th prime number?
The 4225th prime number is 40231. The next prime is 40237 (a gap of 6) and the one before is 40213.
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 4225th one is 40231.
- 2
40231 is prime because no prime up to ā40231 ā 200.58 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4225th prime is close to 4225 Ć ln(4225) ā 35274, and here it is 40231.
- 4
40231 has no twin: neither 40229 nor 40233 is prime.
Primes around the 4225th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4222 | 40189 | 12 |
| 4223 | 40193 | 4 |
| 4224 | 40213 | 20 |
| 4225 | 40231 | 18 |
| 4226 | 40237 | 6 |
| 4227 | 40241 | 4 |
| 4228 | 40253 | 12 |
Questions
What is the 4225th prime number?
40231.
Which prime number is 40231?
40231 is the 4225th prime number.
What is the sum of the first 4225 primes?
80,053,266.