What is the 1089th prime number?
The 1089th prime number is 8737. The next prime is 8741 (a gap of 4) and the one before is 8731.
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 1089th one is 8737.
- 2
8737 is prime because no prime up to ā8737 ā 93.47 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1089th prime is close to 1089 Ć ln(1089) ā 7615, and here it is 8737.
- 4
8737 has no twin: neither 8735 nor 8739 is prime.
Primes around the 1089th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1086 | 8713 | 6 |
| 1087 | 8719 | 6 |
| 1088 | 8731 | 12 |
| 1089 | 8737 | 6 |
| 1090 | 8741 | 4 |
| 1091 | 8747 | 6 |
| 1092 | 8753 | 6 |
Questions
What is the 1089th prime number?
8737.
Which prime number is 8737?
8737 is the 1089th prime number.
What is the sum of the first 1089 primes?
4,425,670.