What is the 1086th prime number?
The 1086th prime number is 8713. The next prime is 8719 (a gap of 6) and the one before is 8707.
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 1086th one is 8713.
- 2
8713 is prime because no prime up to ā8713 ā 93.34 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1086th prime is close to 1086 Ć ln(1086) ā 7591, and here it is 8713.
- 4
8713 has no twin: neither 8711 nor 8715 is prime.
Primes around the 1086th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1083 | 8693 | 4 |
| 1084 | 8699 | 6 |
| 1085 | 8707 | 8 |
| 1086 | 8713 | 6 |
| 1087 | 8719 | 6 |
| 1088 | 8731 | 12 |
| 1089 | 8737 | 6 |
Questions
What is the 1086th prime number?
8713.
Which prime number is 8713?
8713 is the 1086th prime number.
What is the sum of the first 1086 primes?
4,399,483.