What is the 9471st prime number?
The 9471st prime number is 98641. The next prime is 98663 (a gap of 22) and the one before is 98639.
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 9471st one is 98641.
- 2
98641 is prime because no prime up to ā98641 ā 314.07 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9471st prime is close to 9471 Ć ln(9471) ā 86716, and here it is 98641.
- 4
98641 is a twin prime: 98639 and 98641 are both prime.
Primes around the 9471st
| Position | Prime | Gap from the previous |
|---|---|---|
| 9468 | 98621 | 24 |
| 9469 | 98627 | 6 |
| 9470 | 98639 | 12 |
| 9471 | 98641 | 2 |
| 9472 | 98663 | 22 |
| 9473 | 98669 | 6 |
| 9474 | 98689 | 20 |
Questions
What is the 9471st prime number?
98641.
Which prime number is 98641?
98641 is the 9471st prime number.
What is the sum of the first 9471 primes?
442,379,264.