What is the 9760th prime number?
The 9760th prime number is 101929. The next prime is 101939 (a gap of 10) and the one before is 101921.
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 9760th one is 101929.
- 2
101929 is prime because no prime up to ā101929 ā 319.26 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9760th prime is close to 9760 Ć ln(9760) ā 89656, and here it is 101929.
- 4
101929 has no twin: neither 101927 nor 101931 is prime.
Primes around the 9760th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9757 | 101891 | 12 |
| 9758 | 101917 | 26 |
| 9759 | 101921 | 4 |
| 9760 | 101929 | 8 |
| 9761 | 101939 | 10 |
| 9762 | 101957 | 18 |
| 9763 | 101963 | 6 |
Questions
What is the 9760th prime number?
101929.
Which prime number is 101929?
101929 is the 9760th prime number.
What is the sum of the first 9760 primes?
471,364,841.