What is the 1142nd prime number?
The 1142nd prime number is 9209. The next prime is 9221 (a gap of 12) and the one before is 9203.
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 1142nd one is 9209.
- 2
9209 is prime because no prime up to ā9209 ā 95.96 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1142nd prime is close to 1142 Ć ln(1142) ā 8040, and here it is 9209.
- 4
9209 has no twin: neither 9207 nor 9211 is prime.
Primes around the 1142nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1139 | 9187 | 6 |
| 1140 | 9199 | 12 |
| 1141 | 9203 | 4 |
| 1142 | 9209 | 6 |
| 1143 | 9221 | 12 |
| 1144 | 9227 | 6 |
| 1145 | 9239 | 12 |
Questions
What is the 1142nd prime number?
9209.
Which prime number is 9209?
9209 is the 1142nd prime number.
What is the sum of the first 1142 primes?
4,901,431.