What is the 1225th prime number?
The 1225th prime number is 9931. The next prime is 9941 (a gap of 10) and the one before is 9929.
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 1225th one is 9931.
- 2
9931 is prime because no prime up to ā9931 ā 99.65 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1225th prime is close to 1225 Ć ln(1225) ā 8711, and here it is 9931.
- 4
9931 is a twin prime: 9929 and 9931 are both prime.
Primes around the 1225th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1222 | 9907 | 6 |
| 1223 | 9923 | 16 |
| 1224 | 9929 | 6 |
| 1225 | 9931 | 2 |
| 1226 | 9941 | 10 |
| 1227 | 9949 | 8 |
| 1228 | 9967 | 18 |
Questions
What is the 1225th prime number?
9931.
Which prime number is 9931?
9931 is the 1225th prime number.
What is the sum of the first 1225 primes?
5,696,566.