What is the 1094th prime number?
The 1094th prime number is 8779. The next prime is 8783 (a gap of 4) and the one before is 8761.
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 1094th one is 8779.
- 2
8779 is prime because no prime up to ā8779 ā 93.70 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1094th prime is close to 1094 Ć ln(1094) ā 7655, and here it is 8779.
- 4
8779 has no twin: neither 8777 nor 8781 is prime.
Primes around the 1094th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1091 | 8747 | 6 |
| 1092 | 8753 | 6 |
| 1093 | 8761 | 8 |
| 1094 | 8779 | 18 |
| 1095 | 8783 | 4 |
| 1096 | 8803 | 20 |
| 1097 | 8807 | 4 |
Questions
What is the 1094th prime number?
8779.
Which prime number is 8779?
8779 is the 1094th prime number.
What is the sum of the first 1094 primes?
4,469,451.