What is the 4305th prime number?
The 4305th prime number is 41143. The next prime is 41149 (a gap of 6) and the one before is 41141.
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 4305th one is 41143.
- 2
41143 is prime because no prime up to ā41143 ā 202.84 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4305th prime is close to 4305 Ć ln(4305) ā 36022, and here it is 41143.
- 4
41143 is a twin prime: 41141 and 41143 are both prime.
Primes around the 4305th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4302 | 41117 | 4 |
| 4303 | 41131 | 14 |
| 4304 | 41141 | 10 |
| 4305 | 41143 | 2 |
| 4306 | 41149 | 6 |
| 4307 | 41161 | 12 |
| 4308 | 41177 | 16 |
Questions
What is the 4305th prime number?
41143.
Which prime number is 41143?
41143 is the 4305th prime number.
What is the sum of the first 4305 primes?
83,310,292.