What is the 9734th prime number?
The 9734th prime number is 101641. The next prime is 101653 (a gap of 12) and the one before is 101627.
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 9734th one is 101641.
- 2
101641 is prime because no prime up to ā101641 ā 318.81 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9734th prime is close to 9734 Ć ln(9734) ā 89391, and here it is 101641.
- 4
101641 has no twin: neither 101639 nor 101643 is prime.
Primes around the 9734th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9731 | 101603 | 4 |
| 9732 | 101611 | 8 |
| 9733 | 101627 | 16 |
| 9734 | 101641 | 14 |
| 9735 | 101653 | 12 |
| 9736 | 101663 | 10 |
| 9737 | 101681 | 18 |
Questions
What is the 9734th prime number?
101641.
Which prime number is 101641?
101641 is the 9734th prime number.
What is the sum of the first 9734 primes?
468,718,219.