What is the 2331st prime number?
The 2331st prime number is 20707. The next prime is 20717 (a gap of 10) and the one before is 20693.
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 2331st one is 20707.
- 2
20707 is prime because no prime up to ā20707 ā 143.90 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2331st prime is close to 2331 Ć ln(2331) ā 18075, and here it is 20707.
- 4
20707 has no twin: neither 20705 nor 20709 is prime.
Primes around the 2331st
| Position | Prime | Gap from the previous |
|---|---|---|
| 2328 | 20663 | 22 |
| 2329 | 20681 | 18 |
| 2330 | 20693 | 12 |
| 2331 | 20707 | 14 |
| 2332 | 20717 | 10 |
| 2333 | 20719 | 2 |
| 2334 | 20731 | 12 |
Questions
What is the 2331st prime number?
20707.
Which prime number is 20707?
20707 is the 2331st prime number.
What is the sum of the first 2331 primes?
22,574,258.