What is the 4230th prime number?
The 4230th prime number is 40283. The next prime is 40289 (a gap of 6) and the one before is 40277.
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 4230th one is 40283.
- 2
40283 is prime because no prime up to ā40283 ā 200.71 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4230th prime is close to 4230 Ć ln(4230) ā 35320, and here it is 40283.
- 4
40283 has no twin: neither 40281 nor 40285 is prime.
Primes around the 4230th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4227 | 40241 | 4 |
| 4228 | 40253 | 12 |
| 4229 | 40277 | 24 |
| 4230 | 40283 | 6 |
| 4231 | 40289 | 6 |
| 4232 | 40343 | 54 |
| 4233 | 40351 | 8 |
Questions
What is the 4230th prime number?
40283.
Which prime number is 40283?
40283 is the 4230th prime number.
What is the sum of the first 4230 primes?
80,254,557.