What is the 1226th prime number?
The 1226th prime number is 9941. The next prime is 9949 (a gap of 8) and the one before is 9931.
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 1226th one is 9941.
- 2
9941 is prime because no prime up to ā9941 ā 99.70 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1226th prime is close to 1226 Ć ln(1226) ā 8719, and here it is 9941.
- 4
9941 has no twin: neither 9939 nor 9943 is prime.
Primes around the 1226th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1223 | 9923 | 16 |
| 1224 | 9929 | 6 |
| 1225 | 9931 | 2 |
| 1226 | 9941 | 10 |
| 1227 | 9949 | 8 |
| 1228 | 9967 | 18 |
| 1229 | 9973 | 6 |
Questions
What is the 1226th prime number?
9941.
Which prime number is 9941?
9941 is the 1226th prime number.
What is the sum of the first 1226 primes?
5,706,507.