What is the 9675th prime number?
The 9675th prime number is 101021. The next prime is 101027 (a gap of 6) and the one before is 101009.
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 9675th one is 101021.
- 2
101021 is prime because no prime up to ā101021 ā 317.84 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9675th prime is close to 9675 Ć ln(9675) ā 88790, and here it is 101021.
- 4
101021 has no twin: neither 101019 nor 101023 is prime.
Primes around the 9675th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9672 | 100987 | 6 |
| 9673 | 100999 | 12 |
| 9674 | 101009 | 10 |
| 9675 | 101021 | 12 |
| 9676 | 101027 | 6 |
| 9677 | 101051 | 24 |
| 9678 | 101063 | 12 |
Questions
What is the 9675th prime number?
101021.
Which prime number is 101021?
101021 is the 9675th prime number.
What is the sum of the first 9675 primes?
462,739,368.