What is the 2308th prime number?
The 2308th prime number is 20431. The next prime is 20441 (a gap of 10) and the one before is 20411.
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 2308th one is 20431.
- 2
20431 is prime because no prime up to ā20431 ā 142.94 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2308th prime is close to 2308 Ć ln(2308) ā 17873, and here it is 20431.
- 4
20431 has no twin: neither 20429 nor 20433 is prime.
Primes around the 2308th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2305 | 20399 | 6 |
| 2306 | 20407 | 8 |
| 2307 | 20411 | 4 |
| 2308 | 20431 | 20 |
| 2309 | 20441 | 10 |
| 2310 | 20443 | 2 |
| 2311 | 20477 | 34 |
Questions
What is the 2308th prime number?
20431.
Which prime number is 20431?
20431 is the 2308th prime number.
What is the sum of the first 2308 primes?
22,101,205.