What is the 4309th prime number?
The 4309th prime number is 41179. The next prime is 41183 (a gap of 4) and the one before is 41177.
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 4309th one is 41179.
- 2
41179 is prime because no prime up to ā41179 ā 202.93 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4309th prime is close to 4309 Ć ln(4309) ā 36060, and here it is 41179.
- 4
41179 is a twin prime: 41177 and 41179 are both prime.
Primes around the 4309th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4306 | 41149 | 6 |
| 4307 | 41161 | 12 |
| 4308 | 41177 | 16 |
| 4309 | 41179 | 2 |
| 4310 | 41183 | 4 |
| 4311 | 41189 | 6 |
| 4312 | 41201 | 12 |
Questions
What is the 4309th prime number?
41179.
Which prime number is 41179?
41179 is the 4309th prime number.
What is the sum of the first 4309 primes?
83,474,958.