What is the 4308th prime number?
The 4308th prime number is 41177. The next prime is 41179 (a gap of 2) and the one before is 41161.
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 4308th one is 41177.
- 2
41177 is prime because no prime up to ā41177 ā 202.92 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4308th prime is close to 4308 Ć ln(4308) ā 36050, and here it is 41177.
- 4
41177 is a twin prime: 41177 and 41179 are both prime.
Primes around the 4308th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4305 | 41143 | 2 |
| 4306 | 41149 | 6 |
| 4307 | 41161 | 12 |
| 4308 | 41177 | 16 |
| 4309 | 41179 | 2 |
| 4310 | 41183 | 4 |
| 4311 | 41189 | 6 |
Questions
What is the 4308th prime number?
41177.
Which prime number is 41177?
41177 is the 4308th prime number.
What is the sum of the first 4308 primes?
83,433,779.