What is the 9765th prime number?
The 9765th prime number is 101987. The next prime is 101999 (a gap of 12) and the one before is 101977.
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 9765th one is 101987.
- 2
101987 is prime because no prime up to ā101987 ā 319.35 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9765th prime is close to 9765 Ć ln(9765) ā 89707, and here it is 101987.
- 4
101987 has no twin: neither 101985 nor 101989 is prime.
Primes around the 9765th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9762 | 101957 | 18 |
| 9763 | 101963 | 6 |
| 9764 | 101977 | 14 |
| 9765 | 101987 | 10 |
| 9766 | 101999 | 12 |
| 9767 | 102001 | 2 |
| 9768 | 102013 | 12 |
Questions
What is the 9765th prime number?
101987.
Which prime number is 101987?
101987 is the 9765th prime number.
What is the sum of the first 9765 primes?
471,874,664.