What is the 1084th prime number?
The 1084th prime number is 8699. The next prime is 8707 (a gap of 8) and the one before is 8693.
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 1084th one is 8699.
- 2
8699 is prime because no prime up to ā8699 ā 93.27 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1084th prime is close to 1084 Ć ln(1084) ā 7575, and here it is 8699.
- 4
8699 has no twin: neither 8697 nor 8701 is prime.
Primes around the 1084th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1081 | 8681 | 4 |
| 1082 | 8689 | 8 |
| 1083 | 8693 | 4 |
| 1084 | 8699 | 6 |
| 1085 | 8707 | 8 |
| 1086 | 8713 | 6 |
| 1087 | 8719 | 6 |
Questions
What is the 1084th prime number?
8699.
Which prime number is 8699?
8699 is the 1084th prime number.
What is the sum of the first 1084 primes?
4,382,063.