What is the 4321st prime number?
The 4321st prime number is 41263. The next prime is 41269 (a gap of 6) and the one before is 41257.
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 4321st one is 41263.
- 2
41263 is prime because no prime up to ā41263 ā 203.13 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4321st prime is close to 4321 Ć ln(4321) ā 36172, and here it is 41263.
- 4
41263 has no twin: neither 41261 nor 41265 is prime.
Primes around the 4321st
| Position | Prime | Gap from the previous |
|---|---|---|
| 4318 | 41233 | 2 |
| 4319 | 41243 | 10 |
| 4320 | 41257 | 14 |
| 4321 | 41263 | 6 |
| 4322 | 41269 | 6 |
| 4323 | 41281 | 12 |
| 4324 | 41299 | 18 |
Questions
What is the 4321st prime number?
41263.
Which prime number is 41263?
41263 is the 4321st prime number.
What is the sum of the first 4321 primes?
83,969,622.