What is the 9679th prime number?
The 9679th prime number is 101081. The next prime is 101089 (a gap of 8) and the one before is 101063.
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 9679th one is 101081.
- 2
101081 is prime because no prime up to ā101081 ā 317.93 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9679th prime is close to 9679 Ć ln(9679) ā 88831, and here it is 101081.
- 4
101081 has no twin: neither 101079 nor 101083 is prime.
Primes around the 9679th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9676 | 101027 | 6 |
| 9677 | 101051 | 24 |
| 9678 | 101063 | 12 |
| 9679 | 101081 | 18 |
| 9680 | 101089 | 8 |
| 9681 | 101107 | 18 |
| 9682 | 101111 | 4 |
Questions
What is the 9679th prime number?
101081.
Which prime number is 101081?
101081 is the 9679th prime number.
What is the sum of the first 9679 primes?
463,143,590.