What is the 8713th prime number?
The 8713th prime number is 89989. The next prime is 90001 (a gap of 12) and the one before is 89983.
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 8713th one is 89989.
- 2
89989 is prime because no prime up to ā89989 ā 299.98 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8713th prime is close to 8713 Ć ln(8713) ā 79049, and here it is 89989.
- 4
89989 has no twin: neither 89987 nor 89991 is prime.
Primes around the 8713th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8710 | 89963 | 4 |
| 8711 | 89977 | 14 |
| 8712 | 89983 | 6 |
| 8713 | 89989 | 6 |
| 8714 | 90001 | 12 |
| 8715 | 90007 | 6 |
| 8716 | 90011 | 4 |
Questions
What is the 8713th prime number?
89989.
Which prime number is 89989?
89989 is the 8713th prime number.
What is the sum of the first 8713 primes?
370,927,314.