What is the 9472nd prime number?
The 9472nd prime number is 98663. The next prime is 98669 (a gap of 6) and the one before is 98641.
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 9472nd one is 98663.
- 2
98663 is prime because no prime up to ā98663 ā 314.11 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9472nd prime is close to 9472 Ć ln(9472) ā 86727, and here it is 98663.
- 4
98663 has no twin: neither 98661 nor 98665 is prime.
Primes around the 9472nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9469 | 98627 | 6 |
| 9470 | 98639 | 12 |
| 9471 | 98641 | 2 |
| 9472 | 98663 | 22 |
| 9473 | 98669 | 6 |
| 9474 | 98689 | 20 |
| 9475 | 98711 | 22 |
Questions
What is the 9472nd prime number?
98663.
Which prime number is 98663?
98663 is the 9472nd prime number.
What is the sum of the first 9472 primes?
442,477,927.