What is the 1123rd prime number?
The 1123rd prime number is 9041. The next prime is 9043 (a gap of 2) and the one before is 9029.
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 1123rd one is 9041.
- 2
9041 is prime because no prime up to ā9041 ā 95.08 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1123rd prime is close to 1123 Ć ln(1123) ā 7888, and here it is 9041.
- 4
9041 is a twin prime: 9041 and 9043 are both prime.
Primes around the 1123rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1120 | 9011 | 4 |
| 1121 | 9013 | 2 |
| 1122 | 9029 | 16 |
| 1123 | 9041 | 12 |
| 1124 | 9043 | 2 |
| 1125 | 9049 | 6 |
| 1126 | 9059 | 10 |
Questions
What is the 1123rd prime number?
9041.
Which prime number is 9041?
9041 is the 1123rd prime number.
What is the sum of the first 1123 primes?
4,727,892.