What is the 9461st prime number?
The 9461st prime number is 98519. The next prime is 98533 (a gap of 14) and the one before is 98507.
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 9461st one is 98519.
- 2
98519 is prime because no prime up to ā98519 ā 313.88 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9461st prime is close to 9461 Ć ln(9461) ā 86615, and here it is 98519.
- 4
98519 has no twin: neither 98517 nor 98521 is prime.
Primes around the 9461st
| Position | Prime | Gap from the previous |
|---|---|---|
| 9458 | 98479 | 6 |
| 9459 | 98491 | 12 |
| 9460 | 98507 | 16 |
| 9461 | 98519 | 12 |
| 9462 | 98533 | 14 |
| 9463 | 98543 | 10 |
| 9464 | 98561 | 18 |
Questions
What is the 9461st prime number?
98519.
Which prime number is 98519?
98519 is the 9461st prime number.
What is the sum of the first 9461 primes?
441,393,366.