What is the 2228th prime number?
The 2228th prime number is 19687. The next prime is 19697 (a gap of 10) and the one before is 19681.
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 2228th one is 19687.
- 2
19687 is prime because no prime up to ā19687 ā 140.31 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2228th prime is close to 2228 Ć ln(2228) ā 17175, and here it is 19687.
- 4
19687 has no twin: neither 19685 nor 19689 is prime.
Primes around the 2228th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2225 | 19609 | 6 |
| 2226 | 19661 | 52 |
| 2227 | 19681 | 20 |
| 2228 | 19687 | 6 |
| 2229 | 19697 | 10 |
| 2230 | 19699 | 2 |
| 2231 | 19709 | 10 |
Questions
What is the 2228th prime number?
19687.
Which prime number is 19687?
19687 is the 2228th prime number.
What is the sum of the first 2228 primes?
20,496,327.