What is the 9671st prime number?
The 9671st prime number is 100981. The next prime is 100987 (a gap of 6) and the one before is 100957.
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 9671st one is 100981.
- 2
100981 is prime because no prime up to ā100981 ā 317.78 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9671st prime is close to 9671 Ć ln(9671) ā 88750, and here it is 100981.
- 4
100981 has no twin: neither 100979 nor 100983 is prime.
Primes around the 9671st
| Position | Prime | Gap from the previous |
|---|---|---|
| 9668 | 100937 | 6 |
| 9669 | 100943 | 6 |
| 9670 | 100957 | 14 |
| 9671 | 100981 | 24 |
| 9672 | 100987 | 6 |
| 9673 | 100999 | 12 |
| 9674 | 101009 | 10 |
Questions
What is the 9671st prime number?
100981.
Which prime number is 100981?
100981 is the 9671st prime number.
What is the sum of the first 9671 primes?
462,335,352.