What is the 9470th prime number?
The 9470th prime number is 98639. The next prime is 98641 (a gap of 2) and the one before is 98627.
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 9470th one is 98639.
- 2
98639 is prime because no prime up to ā98639 ā 314.07 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9470th prime is close to 9470 Ć ln(9470) ā 86706, and here it is 98639.
- 4
98639 is a twin prime: 98639 and 98641 are both prime.
Primes around the 9470th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9467 | 98597 | 24 |
| 9468 | 98621 | 24 |
| 9469 | 98627 | 6 |
| 9470 | 98639 | 12 |
| 9471 | 98641 | 2 |
| 9472 | 98663 | 22 |
| 9473 | 98669 | 6 |
Questions
What is the 9470th prime number?
98639.
Which prime number is 98639?
98639 is the 9470th prime number.
What is the sum of the first 9470 primes?
442,280,623.