What is the 9562nd prime number?
The 9562nd prime number is 99667. The next prime is 99679 (a gap of 12) and the one before is 99661.
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 9562nd one is 99667.
- 2
99667 is prime because no prime up to ā99667 ā 315.70 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9562nd prime is close to 9562 Ć ln(9562) ā 87641, and here it is 99667.
- 4
99667 has no twin: neither 99665 nor 99669 is prime.
Primes around the 9562nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9559 | 99623 | 12 |
| 9560 | 99643 | 20 |
| 9561 | 99661 | 18 |
| 9562 | 99667 | 6 |
| 9563 | 99679 | 12 |
| 9564 | 99689 | 10 |
| 9565 | 99707 | 18 |
Questions
What is the 9562nd prime number?
99667.
Which prime number is 99667?
99667 is the 9562nd prime number.
What is the sum of the first 9562 primes?
451,401,749.