What is the 4322nd prime number?
The 4322nd prime number is 41269. The next prime is 41281 (a gap of 12) and the one before is 41263.
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 4322nd one is 41269.
- 2
41269 is prime because no prime up to ā41269 ā 203.15 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4322nd prime is close to 4322 Ć ln(4322) ā 36182, and here it is 41269.
- 4
41269 has no twin: neither 41267 nor 41271 is prime.
Primes around the 4322nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4319 | 41243 | 10 |
| 4320 | 41257 | 14 |
| 4321 | 41263 | 6 |
| 4322 | 41269 | 6 |
| 4323 | 41281 | 12 |
| 4324 | 41299 | 18 |
| 4325 | 41333 | 34 |
Questions
What is the 4322nd prime number?
41269.
Which prime number is 41269?
41269 is the 4322nd prime number.
What is the sum of the first 4322 primes?
84,010,891.