What is the 9764th prime number?
The 9764th prime number is 101977. The next prime is 101987 (a gap of 10) and the one before is 101963.
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 9764th one is 101977.
- 2
101977 is prime because no prime up to ā101977 ā 319.34 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9764th prime is close to 9764 Ć ln(9764) ā 89697, and here it is 101977.
- 4
101977 has no twin: neither 101975 nor 101979 is prime.
Primes around the 9764th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9761 | 101939 | 10 |
| 9762 | 101957 | 18 |
| 9763 | 101963 | 6 |
| 9764 | 101977 | 14 |
| 9765 | 101987 | 10 |
| 9766 | 101999 | 12 |
| 9767 | 102001 | 2 |
Questions
What is the 9764th prime number?
101977.
Which prime number is 101977?
101977 is the 9764th prime number.
What is the sum of the first 9764 primes?
471,772,677.