What is the 9738th prime number?
The 9738th prime number is 101693. The next prime is 101701 (a gap of 8) and the one before is 101681.
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 9738th one is 101693.
- 2
101693 is prime because no prime up to ā101693 ā 318.89 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9738th prime is close to 9738 Ć ln(9738) ā 89432, and here it is 101693.
- 4
101693 has no twin: neither 101691 nor 101695 is prime.
Primes around the 9738th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9735 | 101653 | 12 |
| 9736 | 101663 | 10 |
| 9737 | 101681 | 18 |
| 9738 | 101693 | 12 |
| 9739 | 101701 | 8 |
| 9740 | 101719 | 18 |
| 9741 | 101723 | 4 |
Questions
What is the 9738th prime number?
101693.
Which prime number is 101693?
101693 is the 9738th prime number.
What is the sum of the first 9738 primes?
469,124,909.