What is the 9739th prime number?
The 9739th prime number is 101701. The next prime is 101719 (a gap of 18) and the one before is 101693.
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 9739th one is 101701.
- 2
101701 is prime because no prime up to ā101701 ā 318.91 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9739th prime is close to 9739 Ć ln(9739) ā 89442, and here it is 101701.
- 4
101701 has no twin: neither 101699 nor 101703 is prime.
Primes around the 9739th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9736 | 101663 | 10 |
| 9737 | 101681 | 18 |
| 9738 | 101693 | 12 |
| 9739 | 101701 | 8 |
| 9740 | 101719 | 18 |
| 9741 | 101723 | 4 |
| 9742 | 101737 | 14 |
Questions
What is the 9739th prime number?
101701.
Which prime number is 101701?
101701 is the 9739th prime number.
What is the sum of the first 9739 primes?
469,226,610.