What is the 4312th prime number?
The 4312th prime number is 41201. The next prime is 41203 (a gap of 2) and the one before is 41189.
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 4312th one is 41201.
- 2
41201 is prime because no prime up to ā41201 ā 202.98 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4312th prime is close to 4312 Ć ln(4312) ā 36088, and here it is 41201.
- 4
41201 is a twin prime: 41201 and 41203 are both prime.
Primes around the 4312th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4309 | 41179 | 2 |
| 4310 | 41183 | 4 |
| 4311 | 41189 | 6 |
| 4312 | 41201 | 12 |
| 4313 | 41203 | 2 |
| 4314 | 41213 | 10 |
| 4315 | 41221 | 8 |
Questions
What is the 4312th prime number?
41201.
Which prime number is 41201?
41201 is the 4312th prime number.
What is the sum of the first 4312 primes?
83,598,531.