What is the 1136th prime number?
The 1136th prime number is 9161. The next prime is 9173 (a gap of 12) and the one before is 9157.
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 1136th one is 9161.
- 2
9161 is prime because no prime up to ā9161 ā 95.71 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1136th prime is close to 1136 Ć ln(1136) ā 7992, and here it is 9161.
- 4
9161 has no twin: neither 9159 nor 9163 is prime.
Primes around the 1136th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1133 | 9137 | 4 |
| 1134 | 9151 | 14 |
| 1135 | 9157 | 6 |
| 1136 | 9161 | 4 |
| 1137 | 9173 | 12 |
| 1138 | 9181 | 8 |
| 1139 | 9187 | 6 |
Questions
What is the 1136th prime number?
9161.
Which prime number is 9161?
9161 is the 1136th prime number.
What is the sum of the first 1136 primes?
4,846,279.