What is the 9678th prime number?
The 9678th prime number is 101063. The next prime is 101081 (a gap of 18) and the one before is 101051.
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 9678th one is 101063.
- 2
101063 is prime because no prime up to ā101063 ā 317.90 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9678th prime is close to 9678 Ć ln(9678) ā 88821, and here it is 101063.
- 4
101063 has no twin: neither 101061 nor 101065 is prime.
Primes around the 9678th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9675 | 101021 | 12 |
| 9676 | 101027 | 6 |
| 9677 | 101051 | 24 |
| 9678 | 101063 | 12 |
| 9679 | 101081 | 18 |
| 9680 | 101089 | 8 |
| 9681 | 101107 | 18 |
Questions
What is the 9678th prime number?
101063.
Which prime number is 101063?
101063 is the 9678th prime number.
What is the sum of the first 9678 primes?
463,042,509.