What is the 2231st prime number?
The 2231st prime number is 19709. The next prime is 19717 (a gap of 8) and the one before is 19699.
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 2231st one is 19709.
- 2
19709 is prime because no prime up to ā19709 ā 140.39 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2231st prime is close to 2231 Ć ln(2231) ā 17201, and here it is 19709.
- 4
19709 has no twin: neither 19707 nor 19711 is prime.
Primes around the 2231st
| Position | Prime | Gap from the previous |
|---|---|---|
| 2228 | 19687 | 6 |
| 2229 | 19697 | 10 |
| 2230 | 19699 | 2 |
| 2231 | 19709 | 10 |
| 2232 | 19717 | 8 |
| 2233 | 19727 | 10 |
| 2234 | 19739 | 12 |
Questions
What is the 2231st prime number?
19709.
Which prime number is 19709?
19709 is the 2231st prime number.
What is the sum of the first 2231 primes?
20,555,432.