What is the 1138th prime number?
The 1138th prime number is 9181. The next prime is 9187 (a gap of 6) and the one before is 9173.
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 1138th one is 9181.
- 2
9181 is prime because no prime up to ā9181 ā 95.82 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1138th prime is close to 1138 Ć ln(1138) ā 8008, and here it is 9181.
- 4
9181 has no twin: neither 9179 nor 9183 is prime.
Primes around the 1138th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1135 | 9157 | 6 |
| 1136 | 9161 | 4 |
| 1137 | 9173 | 12 |
| 1138 | 9181 | 8 |
| 1139 | 9187 | 6 |
| 1140 | 9199 | 12 |
| 1141 | 9203 | 4 |
Questions
What is the 1138th prime number?
9181.
Which prime number is 9181?
9181 is the 1138th prime number.
What is the sum of the first 1138 primes?
4,864,633.