What is the 9041st prime number?
The 9041st prime number is 93629. The next prime is 93637 (a gap of 8) and the one before is 93607.
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 9041st one is 93629.
- 2
93629 is prime because no prime up to ā93629 ā 305.99 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9041st prime is close to 9041 Ć ln(9041) ā 82359, and here it is 93629.
- 4
93629 has no twin: neither 93627 nor 93631 is prime.
Primes around the 9041st
| Position | Prime | Gap from the previous |
|---|---|---|
| 9038 | 93581 | 18 |
| 9039 | 93601 | 20 |
| 9040 | 93607 | 6 |
| 9041 | 93629 | 22 |
| 9042 | 93637 | 8 |
| 9043 | 93683 | 46 |
| 9044 | 93701 | 18 |
Questions
What is the 9041st prime number?
93629.
Which prime number is 93629?
93629 is the 9041st prime number.
What is the sum of the first 9041 primes?
401,048,886.