What is the 9674th prime number?
The 9674th prime number is 101009. The next prime is 101021 (a gap of 12) and the one before is 100999.
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 9674th one is 101009.
- 2
101009 is prime because no prime up to ā101009 ā 317.82 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9674th prime is close to 9674 Ć ln(9674) ā 88780, and here it is 101009.
- 4
101009 has no twin: neither 101007 nor 101011 is prime.
Primes around the 9674th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9671 | 100981 | 24 |
| 9672 | 100987 | 6 |
| 9673 | 100999 | 12 |
| 9674 | 101009 | 10 |
| 9675 | 101021 | 12 |
| 9676 | 101027 | 6 |
| 9677 | 101051 | 24 |
Questions
What is the 9674th prime number?
101009.
Which prime number is 101009?
101009 is the 9674th prime number.
What is the sum of the first 9674 primes?
462,638,347.