What is the 9572nd prime number?
The 9572nd prime number is 99767. The next prime is 99787 (a gap of 20) and the one before is 99761.
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 9572nd one is 99767.
- 2
99767 is prime because no prime up to ā99767 ā 315.86 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9572nd prime is close to 9572 Ć ln(9572) ā 87743, and here it is 99767.
- 4
99767 has no twin: neither 99765 nor 99769 is prime.
Primes around the 9572nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9569 | 99721 | 2 |
| 9570 | 99733 | 12 |
| 9571 | 99761 | 28 |
| 9572 | 99767 | 6 |
| 9573 | 99787 | 20 |
| 9574 | 99793 | 6 |
| 9575 | 99809 | 16 |
Questions
What is the 9572nd prime number?
99767.
Which prime number is 99767?
99767 is the 9572nd prime number.
What is the sum of the first 9572 primes?
452,398,947.