What is the 9676th prime number?
The 9676th prime number is 101027. The next prime is 101051 (a gap of 24) and the one before is 101021.
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 9676th one is 101027.
- 2
101027 is prime because no prime up to ā101027 ā 317.85 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9676th prime is close to 9676 Ć ln(9676) ā 88801, and here it is 101027.
- 4
101027 has no twin: neither 101025 nor 101029 is prime.
Primes around the 9676th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9673 | 100999 | 12 |
| 9674 | 101009 | 10 |
| 9675 | 101021 | 12 |
| 9676 | 101027 | 6 |
| 9677 | 101051 | 24 |
| 9678 | 101063 | 12 |
| 9679 | 101081 | 18 |
Questions
What is the 9676th prime number?
101027.
Which prime number is 101027?
101027 is the 9676th prime number.
What is the sum of the first 9676 primes?
462,840,395.