What is the 4229th prime number?
The 4229th prime number is 40277. The next prime is 40283 (a gap of 6) and the one before is 40253.
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 4229th one is 40277.
- 2
40277 is prime because no prime up to ā40277 ā 200.69 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4229th prime is close to 4229 Ć ln(4229) ā 35311, and here it is 40277.
- 4
40277 has no twin: neither 40275 nor 40279 is prime.
Primes around the 4229th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4226 | 40237 | 6 |
| 4227 | 40241 | 4 |
| 4228 | 40253 | 12 |
| 4229 | 40277 | 24 |
| 4230 | 40283 | 6 |
| 4231 | 40289 | 6 |
| 4232 | 40343 | 54 |
Questions
What is the 4229th prime number?
40277.
Which prime number is 40277?
40277 is the 4229th prime number.
What is the sum of the first 4229 primes?
80,214,274.