What is the 1125th prime number?
The 1125th prime number is 9049. The next prime is 9059 (a gap of 10) and the one before is 9043.
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 1125th one is 9049.
- 2
9049 is prime because no prime up to ā9049 ā 95.13 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1125th prime is close to 1125 Ć ln(1125) ā 7904, and here it is 9049.
- 4
9049 has no twin: neither 9047 nor 9051 is prime.
Primes around the 1125th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1122 | 9029 | 16 |
| 1123 | 9041 | 12 |
| 1124 | 9043 | 2 |
| 1125 | 9049 | 6 |
| 1126 | 9059 | 10 |
| 1127 | 9067 | 8 |
| 1128 | 9091 | 24 |
Questions
What is the 1125th prime number?
9049.
Which prime number is 9049?
9049 is the 1125th prime number.
What is the sum of the first 1125 primes?
4,745,984.