What is the 4304th prime number?
The 4304th prime number is 41141. The next prime is 41143 (a gap of 2) and the one before is 41131.
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 4304th one is 41141.
- 2
41141 is prime because no prime up to ā41141 ā 202.83 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4304th prime is close to 4304 Ć ln(4304) ā 36013, and here it is 41141.
- 4
41141 is a twin prime: 41141 and 41143 are both prime.
Primes around the 4304th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4301 | 41113 | 32 |
| 4302 | 41117 | 4 |
| 4303 | 41131 | 14 |
| 4304 | 41141 | 10 |
| 4305 | 41143 | 2 |
| 4306 | 41149 | 6 |
| 4307 | 41161 | 12 |
Questions
What is the 4304th prime number?
41141.
Which prime number is 41141?
41141 is the 4304th prime number.
What is the sum of the first 4304 primes?
83,269,149.