What is the 4226th prime number?
The 4226th prime number is 40237. The next prime is 40241 (a gap of 4) and the one before is 40231.
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 4226th one is 40237.
- 2
40237 is prime because no prime up to ā40237 ā 200.59 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4226th prime is close to 4226 Ć ln(4226) ā 35283, and here it is 40237.
- 4
40237 has no twin: neither 40235 nor 40239 is prime.
Primes around the 4226th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4223 | 40193 | 4 |
| 4224 | 40213 | 20 |
| 4225 | 40231 | 18 |
| 4226 | 40237 | 6 |
| 4227 | 40241 | 4 |
| 4228 | 40253 | 12 |
| 4229 | 40277 | 24 |
Questions
What is the 4226th prime number?
40237.
Which prime number is 40237?
40237 is the 4226th prime number.
What is the sum of the first 4226 primes?
80,093,503.