What is the 4311th prime number?
The 4311th prime number is 41189. The next prime is 41201 (a gap of 12) and the one before is 41183.
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 4311th one is 41189.
- 2
41189 is prime because no prime up to ā41189 ā 202.95 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4311th prime is close to 4311 Ć ln(4311) ā 36078, and here it is 41189.
- 4
41189 has no twin: neither 41187 nor 41191 is prime.
Primes around the 4311th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4308 | 41177 | 16 |
| 4309 | 41179 | 2 |
| 4310 | 41183 | 4 |
| 4311 | 41189 | 6 |
| 4312 | 41201 | 12 |
| 4313 | 41203 | 2 |
| 4314 | 41213 | 10 |
Questions
What is the 4311th prime number?
41189.
Which prime number is 41189?
41189 is the 4311th prime number.
What is the sum of the first 4311 primes?
83,557,330.