What is the 1139th prime number?
The 1139th prime number is 9187. The next prime is 9199 (a gap of 12) and the one before is 9181.
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 1139th one is 9187.
- 2
9187 is prime because no prime up to ā9187 ā 95.85 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1139th prime is close to 1139 Ć ln(1139) ā 8016, and here it is 9187.
- 4
9187 has no twin: neither 9185 nor 9189 is prime.
Primes around the 1139th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1136 | 9161 | 4 |
| 1137 | 9173 | 12 |
| 1138 | 9181 | 8 |
| 1139 | 9187 | 6 |
| 1140 | 9199 | 12 |
| 1141 | 9203 | 4 |
| 1142 | 9209 | 6 |
Questions
What is the 1139th prime number?
9187.
Which prime number is 9187?
9187 is the 1139th prime number.
What is the sum of the first 1139 primes?
4,873,820.