What is the 4323rd prime number?
The 4323rd prime number is 41281. The next prime is 41299 (a gap of 18) and the one before is 41269.
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 4323rd one is 41281.
- 2
41281 is prime because no prime up to ā41281 ā 203.18 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4323rd prime is close to 4323 Ć ln(4323) ā 36191, and here it is 41281.
- 4
41281 has no twin: neither 41279 nor 41283 is prime.
Primes around the 4323rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4320 | 41257 | 14 |
| 4321 | 41263 | 6 |
| 4322 | 41269 | 6 |
| 4323 | 41281 | 12 |
| 4324 | 41299 | 18 |
| 4325 | 41333 | 34 |
| 4326 | 41341 | 8 |
Questions
What is the 4323rd prime number?
41281.
Which prime number is 41281?
41281 is the 4323rd prime number.
What is the sum of the first 4323 primes?
84,052,172.