What is the 4307th prime number?
The 4307th prime number is 41161. The next prime is 41177 (a gap of 16) and the one before is 41149.
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 4307th one is 41161.
- 2
41161 is prime because no prime up to ā41161 ā 202.88 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4307th prime is close to 4307 Ć ln(4307) ā 36041, and here it is 41161.
- 4
41161 has no twin: neither 41159 nor 41163 is prime.
Primes around the 4307th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4304 | 41141 | 10 |
| 4305 | 41143 | 2 |
| 4306 | 41149 | 6 |
| 4307 | 41161 | 12 |
| 4308 | 41177 | 16 |
| 4309 | 41179 | 2 |
| 4310 | 41183 | 4 |
Questions
What is the 4307th prime number?
41161.
Which prime number is 41161?
41161 is the 4307th prime number.
What is the sum of the first 4307 primes?
83,392,602.