What is the 4320th prime number?
The 4320th prime number is 41257. The next prime is 41263 (a gap of 6) and the one before is 41243.
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 4320th one is 41257.
- 2
41257 is prime because no prime up to ā41257 ā 203.12 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4320th prime is close to 4320 Ć ln(4320) ā 36163, and here it is 41257.
- 4
41257 has no twin: neither 41255 nor 41259 is prime.
Primes around the 4320th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4317 | 41231 | 4 |
| 4318 | 41233 | 2 |
| 4319 | 41243 | 10 |
| 4320 | 41257 | 14 |
| 4321 | 41263 | 6 |
| 4322 | 41269 | 6 |
| 4323 | 41281 | 12 |
Questions
What is the 4320th prime number?
41257.
Which prime number is 41257?
41257 is the 4320th prime number.
What is the sum of the first 4320 primes?
83,928,359.