What is the 8702nd prime number?
The 8702nd prime number is 89891. The next prime is 89897 (a gap of 6) and the one before is 89867.
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 8702nd one is 89891.
- 2
89891 is prime because no prime up to ā89891 ā 299.82 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8702nd prime is close to 8702 Ć ln(8702) ā 78939, and here it is 89891.
- 4
89891 has no twin: neither 89889 nor 89893 is prime.
Primes around the 8702nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8699 | 89839 | 6 |
| 8700 | 89849 | 10 |
| 8701 | 89867 | 18 |
| 8702 | 89891 | 24 |
| 8703 | 89897 | 6 |
| 8704 | 89899 | 2 |
| 8705 | 89909 | 10 |
Questions
What is the 8702nd prime number?
89891.
Which prime number is 89891?
89891 is the 8702nd prime number.
What is the sum of the first 8702 primes?
369,937,959.