What is the 9474th prime number?
The 9474th prime number is 98689. The next prime is 98711 (a gap of 22) and the one before is 98669.
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 9474th one is 98689.
- 2
98689 is prime because no prime up to ā98689 ā 314.15 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9474th prime is close to 9474 Ć ln(9474) ā 86747, and here it is 98689.
- 4
98689 has no twin: neither 98687 nor 98691 is prime.
Primes around the 9474th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9471 | 98641 | 2 |
| 9472 | 98663 | 22 |
| 9473 | 98669 | 6 |
| 9474 | 98689 | 20 |
| 9475 | 98711 | 22 |
| 9476 | 98713 | 2 |
| 9477 | 98717 | 4 |
Questions
What is the 9474th prime number?
98689.
Which prime number is 98689?
98689 is the 9474th prime number.
What is the sum of the first 9474 primes?
442,675,285.