What is the 9541st prime number?
The 9541st prime number is 99401. The next prime is 99409 (a gap of 8) and the one before is 99397.
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 9541st one is 99401.
- 2
99401 is prime because no prime up to ā99401 ā 315.28 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9541st prime is close to 9541 Ć ln(9541) ā 87428, and here it is 99401.
- 4
99401 has no twin: neither 99399 nor 99403 is prime.
Primes around the 9541st
| Position | Prime | Gap from the previous |
|---|---|---|
| 9538 | 99377 | 6 |
| 9539 | 99391 | 14 |
| 9540 | 99397 | 6 |
| 9541 | 99401 | 4 |
| 9542 | 99409 | 8 |
| 9543 | 99431 | 22 |
| 9544 | 99439 | 8 |
Questions
What is the 9541st prime number?
99401.
Which prime number is 99401?
99401 is the 9541st prime number.
What is the sum of the first 9541 primes?
449,311,224.