What is the 1129th prime number?
The 1129th prime number is 9103. The next prime is 9109 (a gap of 6) and the one before is 9091.
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, ⦠The 1129th one is 9103.
- 2
9103 is prime because no prime up to ā9103 ā 95.41 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1129th prime is close to 1129 Ć ln(1129) ā 7936, and here it is 9103.
- 4
9103 has no twin: neither 9101 nor 9105 is prime.
Primes around the 1129th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1126 | 9059 | 10 |
| 1127 | 9067 | 8 |
| 1128 | 9091 | 24 |
| 1129 | 9103 | 12 |
| 1130 | 9109 | 6 |
| 1131 | 9127 | 18 |
| 1132 | 9133 | 6 |
Questions
What is the 1129th prime number?
9103.
Which prime number is 9103?
9103 is the 1129th prime number.
What is the sum of the first 1129 primes?
4,782,304.