What is the 1130th prime number?
The 1130th prime number is 9109. The next prime is 9127 (a gap of 18) and the one before is 9103.
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 1130th one is 9109.
- 2
9109 is prime because no prime up to ā9109 ā 95.44 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1130th prime is close to 1130 Ć ln(1130) ā 7944, and here it is 9109.
- 4
9109 has no twin: neither 9107 nor 9111 is prime.
Primes around the 1130th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1127 | 9067 | 8 |
| 1128 | 9091 | 24 |
| 1129 | 9103 | 12 |
| 1130 | 9109 | 6 |
| 1131 | 9127 | 18 |
| 1132 | 9133 | 6 |
| 1133 | 9137 | 4 |
Questions
What is the 1130th prime number?
9109.
Which prime number is 9109?
9109 is the 1130th prime number.
What is the sum of the first 1130 primes?
4,791,413.