What is the 9670th prime number?
The 9670th prime number is 100957. The next prime is 100981 (a gap of 24) and the one before is 100943.
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 9670th one is 100957.
- 2
100957 is prime because no prime up to ā100957 ā 317.74 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9670th prime is close to 9670 Ć ln(9670) ā 88739, and here it is 100957.
- 4
100957 has no twin: neither 100955 nor 100959 is prime.
Primes around the 9670th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9667 | 100931 | 4 |
| 9668 | 100937 | 6 |
| 9669 | 100943 | 6 |
| 9670 | 100957 | 14 |
| 9671 | 100981 | 24 |
| 9672 | 100987 | 6 |
| 9673 | 100999 | 12 |
Questions
What is the 9670th prime number?
100957.
Which prime number is 100957?
100957 is the 9670th prime number.
What is the sum of the first 9670 primes?
462,234,371.