What is the 1128th prime number?
The 1128th prime number is 9091. The next prime is 9103 (a gap of 12) and the one before is 9067.
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 1128th one is 9091.
- 2
9091 is prime because no prime up to ā9091 ā 95.35 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1128th prime is close to 1128 Ć ln(1128) ā 7928, and here it is 9091.
- 4
9091 has no twin: neither 9089 nor 9093 is prime.
Primes around the 1128th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1125 | 9049 | 6 |
| 1126 | 9059 | 10 |
| 1127 | 9067 | 8 |
| 1128 | 9091 | 24 |
| 1129 | 9103 | 12 |
| 1130 | 9109 | 6 |
| 1131 | 9127 | 18 |
Questions
What is the 1128th prime number?
9091.
Which prime number is 9091?
9091 is the 1128th prime number.
What is the sum of the first 1128 primes?
4,773,201.