What is the 9672nd prime number?
The 9672nd prime number is 100987. The next prime is 100999 (a gap of 12) and the one before is 100981.
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 9672nd one is 100987.
- 2
100987 is prime because no prime up to ā100987 ā 317.78 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9672nd prime is close to 9672 Ć ln(9672) ā 88760, and here it is 100987.
- 4
100987 has no twin: neither 100985 nor 100989 is prime.
Primes around the 9672nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9669 | 100943 | 6 |
| 9670 | 100957 | 14 |
| 9671 | 100981 | 24 |
| 9672 | 100987 | 6 |
| 9673 | 100999 | 12 |
| 9674 | 101009 | 10 |
| 9675 | 101021 | 12 |
Questions
What is the 9672nd prime number?
100987.
Which prime number is 100987?
100987 is the 9672nd prime number.
What is the sum of the first 9672 primes?
462,436,339.