What is the 1229th prime number?
The 1229th prime number is 9973. The next prime is 10007 (a gap of 34) and the one before is 9967.
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 1229th one is 9973.
- 2
9973 is prime because no prime up to ā9973 ā 99.86 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1229th prime is close to 1229 Ć ln(1229) ā 8743, and here it is 9973.
- 4
9973 has no twin: neither 9971 nor 9975 is prime.
Primes around the 1229th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1226 | 9941 | 10 |
| 1227 | 9949 | 8 |
| 1228 | 9967 | 18 |
| 1229 | 9973 | 6 |
| 1230 | 10007 | 34 |
| 1231 | 10009 | 2 |
| 1232 | 10037 | 28 |
Questions
What is the 1229th prime number?
9973.
Which prime number is 9973?
9973 is the 1229th prime number.
What is the sum of the first 1229 primes?
5,736,396.