What is the 8703rd prime number?
The 8703rd prime number is 89897. The next prime is 89899 (a gap of 2) and the one before is 89891.
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 8703rd one is 89897.
- 2
89897 is prime because no prime up to ā89897 ā 299.83 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8703rd prime is close to 8703 Ć ln(8703) ā 78949, and here it is 89897.
- 4
89897 is a twin prime: 89897 and 89899 are both prime.
Primes around the 8703rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8700 | 89849 | 10 |
| 8701 | 89867 | 18 |
| 8702 | 89891 | 24 |
| 8703 | 89897 | 6 |
| 8704 | 89899 | 2 |
| 8705 | 89909 | 10 |
| 8706 | 89917 | 8 |
Questions
What is the 8703rd prime number?
89897.
Which prime number is 89897?
89897 is the 8703rd prime number.
What is the sum of the first 8703 primes?
370,027,856.