What is the 2232nd prime number?
The 2232nd prime number is 19717. The next prime is 19727 (a gap of 10) and the one before is 19709.
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 2232nd one is 19717.
- 2
19717 is prime because no prime up to ā19717 ā 140.42 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2232nd prime is close to 2232 Ć ln(2232) ā 17210, and here it is 19717.
- 4
19717 has no twin: neither 19715 nor 19719 is prime.
Primes around the 2232nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2229 | 19697 | 10 |
| 2230 | 19699 | 2 |
| 2231 | 19709 | 10 |
| 2232 | 19717 | 8 |
| 2233 | 19727 | 10 |
| 2234 | 19739 | 12 |
| 2235 | 19751 | 12 |
Questions
What is the 2232nd prime number?
19717.
Which prime number is 19717?
19717 is the 2232nd prime number.
What is the sum of the first 2232 primes?
20,575,149.