What is the 1137th prime number?
The 1137th prime number is 9173. The next prime is 9181 (a gap of 8) and the one before is 9161.
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 1137th one is 9173.
- 2
9173 is prime because no prime up to ā9173 ā 95.78 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1137th prime is close to 1137 Ć ln(1137) ā 8000, and here it is 9173.
- 4
9173 has no twin: neither 9171 nor 9175 is prime.
Primes around the 1137th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1134 | 9151 | 14 |
| 1135 | 9157 | 6 |
| 1136 | 9161 | 4 |
| 1137 | 9173 | 12 |
| 1138 | 9181 | 8 |
| 1139 | 9187 | 6 |
| 1140 | 9199 | 12 |
Questions
What is the 1137th prime number?
9173.
Which prime number is 9173?
9173 is the 1137th prime number.
What is the sum of the first 1137 primes?
4,855,452.