What is the 9761st prime number?
The 9761st prime number is 101939. The next prime is 101957 (a gap of 18) and the one before is 101929.
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 9761st one is 101939.
- 2
101939 is prime because no prime up to ā101939 ā 319.28 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9761st prime is close to 9761 Ć ln(9761) ā 89666, and here it is 101939.
- 4
101939 has no twin: neither 101937 nor 101941 is prime.
Primes around the 9761st
| Position | Prime | Gap from the previous |
|---|---|---|
| 9758 | 101917 | 26 |
| 9759 | 101921 | 4 |
| 9760 | 101929 | 8 |
| 9761 | 101939 | 10 |
| 9762 | 101957 | 18 |
| 9763 | 101963 | 6 |
| 9764 | 101977 | 14 |
Questions
What is the 9761st prime number?
101939.
Which prime number is 101939?
101939 is the 9761st prime number.
What is the sum of the first 9761 primes?
471,466,780.