What is the 9762nd prime number?
The 9762nd prime number is 101957. The next prime is 101963 (a gap of 6) and the one before is 101939.
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 9762nd one is 101957.
- 2
101957 is prime because no prime up to ā101957 ā 319.31 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9762nd prime is close to 9762 Ć ln(9762) ā 89676, and here it is 101957.
- 4
101957 has no twin: neither 101955 nor 101959 is prime.
Primes around the 9762nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9759 | 101921 | 4 |
| 9760 | 101929 | 8 |
| 9761 | 101939 | 10 |
| 9762 | 101957 | 18 |
| 9763 | 101963 | 6 |
| 9764 | 101977 | 14 |
| 9765 | 101987 | 10 |
Questions
What is the 9762nd prime number?
101957.
Which prime number is 101957?
101957 is the 9762nd prime number.
What is the sum of the first 9762 primes?
471,568,737.