What is the 1091st prime number?
The 1091st prime number is 8747. The next prime is 8753 (a gap of 6) and the one before is 8741.
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 1091st one is 8747.
- 2
8747 is prime because no prime up to ā8747 ā 93.53 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1091st prime is close to 1091 Ć ln(1091) ā 7631, and here it is 8747.
- 4
8747 has no twin: neither 8745 nor 8749 is prime.
Primes around the 1091st
| Position | Prime | Gap from the previous |
|---|---|---|
| 1088 | 8731 | 12 |
| 1089 | 8737 | 6 |
| 1090 | 8741 | 4 |
| 1091 | 8747 | 6 |
| 1092 | 8753 | 6 |
| 1093 | 8761 | 8 |
| 1094 | 8779 | 18 |
Questions
What is the 1091st prime number?
8747.
Which prime number is 8747?
8747 is the 1091st prime number.
What is the sum of the first 1091 primes?
4,443,158.