What is the 9460th prime number?
The 9460th prime number is 98507. The next prime is 98519 (a gap of 12) and the one before is 98491.
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 9460th one is 98507.
- 2
98507 is prime because no prime up to ā98507 ā 313.86 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9460th prime is close to 9460 Ć ln(9460) ā 86605, and here it is 98507.
- 4
98507 has no twin: neither 98505 nor 98509 is prime.
Primes around the 9460th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9457 | 98473 | 6 |
| 9458 | 98479 | 6 |
| 9459 | 98491 | 12 |
| 9460 | 98507 | 16 |
| 9461 | 98519 | 12 |
| 9462 | 98533 | 14 |
| 9463 | 98543 | 10 |
Questions
What is the 9460th prime number?
98507.
Which prime number is 98507?
98507 is the 9460th prime number.
What is the sum of the first 9460 primes?
441,294,847.