What is the 4231st prime number?
The 4231st prime number is 40289. The next prime is 40343 (a gap of 54) and the one before is 40283.
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 4231st one is 40289.
- 2
40289 is prime because no prime up to ā40289 ā 200.72 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4231st prime is close to 4231 Ć ln(4231) ā 35330, and here it is 40289.
- 4
40289 has no twin: neither 40287 nor 40291 is prime.
Primes around the 4231st
| Position | Prime | Gap from the previous |
|---|---|---|
| 4228 | 40253 | 12 |
| 4229 | 40277 | 24 |
| 4230 | 40283 | 6 |
| 4231 | 40289 | 6 |
| 4232 | 40343 | 54 |
| 4233 | 40351 | 8 |
| 4234 | 40357 | 6 |
Questions
What is the 4231st prime number?
40289.
Which prime number is 40289?
40289 is the 4231st prime number.
What is the sum of the first 4231 primes?
80,294,846.