What is the 1227th prime number?
The 1227th prime number is 9949. The next prime is 9967 (a gap of 18) and the one before is 9941.
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 1227th one is 9949.
- 2
9949 is prime because no prime up to ā9949 ā 99.74 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1227th prime is close to 1227 Ć ln(1227) ā 8727, and here it is 9949.
- 4
9949 has no twin: neither 9947 nor 9951 is prime.
Primes around the 1227th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1224 | 9929 | 6 |
| 1225 | 9931 | 2 |
| 1226 | 9941 | 10 |
| 1227 | 9949 | 8 |
| 1228 | 9967 | 18 |
| 1229 | 9973 | 6 |
| 1230 | 10007 | 34 |
Questions
What is the 1227th prime number?
9949.
Which prime number is 9949?
9949 is the 1227th prime number.
What is the sum of the first 1227 primes?
5,716,456.