What is the 2307th prime number?
The 2307th prime number is 20411. The next prime is 20431 (a gap of 20) and the one before is 20407.
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 2307th one is 20411.
- 2
20411 is prime because no prime up to ā20411 ā 142.87 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2307th prime is close to 2307 Ć ln(2307) ā 17865, and here it is 20411.
- 4
20411 has no twin: neither 20409 nor 20413 is prime.
Primes around the 2307th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2304 | 20393 | 4 |
| 2305 | 20399 | 6 |
| 2306 | 20407 | 8 |
| 2307 | 20411 | 4 |
| 2308 | 20431 | 20 |
| 2309 | 20441 | 10 |
| 2310 | 20443 | 2 |
Questions
What is the 2307th prime number?
20411.
Which prime number is 20411?
20411 is the 2307th prime number.
What is the sum of the first 2307 primes?
22,080,774.