What is the 1092nd prime number?
The 1092nd prime number is 8753. The next prime is 8761 (a gap of 8) and the one before is 8747.
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 1092nd one is 8753.
- 2
8753 is prime because no prime up to ā8753 ā 93.56 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1092nd prime is close to 1092 Ć ln(1092) ā 7639, and here it is 8753.
- 4
8753 has no twin: neither 8751 nor 8755 is prime.
Primes around the 1092nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1089 | 8737 | 6 |
| 1090 | 8741 | 4 |
| 1091 | 8747 | 6 |
| 1092 | 8753 | 6 |
| 1093 | 8761 | 8 |
| 1094 | 8779 | 18 |
| 1095 | 8783 | 4 |
Questions
What is the 1092nd prime number?
8753.
Which prime number is 8753?
8753 is the 1092nd prime number.
What is the sum of the first 1092 primes?
4,451,911.