What is the 4313th prime number?
The 4313th prime number is 41203. The next prime is 41213 (a gap of 10) and the one before is 41201.
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 4313th one is 41203.
- 2
41203 is prime because no prime up to ā41203 ā 202.99 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4313th prime is close to 4313 Ć ln(4313) ā 36097, and here it is 41203.
- 4
41203 is a twin prime: 41201 and 41203 are both prime.
Primes around the 4313th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4310 | 41183 | 4 |
| 4311 | 41189 | 6 |
| 4312 | 41201 | 12 |
| 4313 | 41203 | 2 |
| 4314 | 41213 | 10 |
| 4315 | 41221 | 8 |
| 4316 | 41227 | 6 |
Questions
What is the 4313th prime number?
41203.
Which prime number is 41203?
41203 is the 4313th prime number.
What is the sum of the first 4313 primes?
83,639,734.