What is the 1228th prime number?
The 1228th prime number is 9967. The next prime is 9973 (a gap of 6) and the one before is 9949.
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 1228th one is 9967.
- 2
9967 is prime because no prime up to ā9967 ā 99.83 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1228th prime is close to 1228 Ć ln(1228) ā 8735, and here it is 9967.
- 4
9967 has no twin: neither 9965 nor 9969 is prime.
Primes around the 1228th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1225 | 9931 | 2 |
| 1226 | 9941 | 10 |
| 1227 | 9949 | 8 |
| 1228 | 9967 | 18 |
| 1229 | 9973 | 6 |
| 1230 | 10007 | 34 |
| 1231 | 10009 | 2 |
Questions
What is the 1228th prime number?
9967.
Which prime number is 9967?
9967 is the 1228th prime number.
What is the sum of the first 1228 primes?
5,726,423.