What is the 8712th prime number?
The 8712th prime number is 89983. The next prime is 89989 (a gap of 6) and the one before is 89977.
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 8712th one is 89983.
- 2
89983 is prime because no prime up to ā89983 ā 299.97 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8712th prime is close to 8712 Ć ln(8712) ā 79039, and here it is 89983.
- 4
89983 has no twin: neither 89981 nor 89985 is prime.
Primes around the 8712th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8709 | 89959 | 20 |
| 8710 | 89963 | 4 |
| 8711 | 89977 | 14 |
| 8712 | 89983 | 6 |
| 8713 | 89989 | 6 |
| 8714 | 90001 | 12 |
| 8715 | 90007 | 6 |
Questions
What is the 8712th prime number?
89983.
Which prime number is 89983?
89983 is the 8712th prime number.
What is the sum of the first 8712 primes?
370,837,325.