What is the 1085th prime number?
The 1085th prime number is 8707. The next prime is 8713 (a gap of 6) and the one before is 8699.
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 1085th one is 8707.
- 2
8707 is prime because no prime up to ā8707 ā 93.31 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1085th prime is close to 1085 Ć ln(1085) ā 7583, and here it is 8707.
- 4
8707 has no twin: neither 8705 nor 8709 is prime.
Primes around the 1085th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1082 | 8689 | 8 |
| 1083 | 8693 | 4 |
| 1084 | 8699 | 6 |
| 1085 | 8707 | 8 |
| 1086 | 8713 | 6 |
| 1087 | 8719 | 6 |
| 1088 | 8731 | 12 |
Questions
What is the 1085th prime number?
8707.
Which prime number is 8707?
8707 is the 1085th prime number.
What is the sum of the first 1085 primes?
4,390,770.