What is the 9042nd prime number?
The 9042nd prime number is 93637. The next prime is 93683 (a gap of 46) and the one before is 93629.
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 9042nd one is 93637.
- 2
93637 is prime because no prime up to ā93637 ā 306.00 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9042nd prime is close to 9042 Ć ln(9042) ā 82369, and here it is 93637.
- 4
93637 has no twin: neither 93635 nor 93639 is prime.
Primes around the 9042nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9039 | 93601 | 20 |
| 9040 | 93607 | 6 |
| 9041 | 93629 | 22 |
| 9042 | 93637 | 8 |
| 9043 | 93683 | 46 |
| 9044 | 93701 | 18 |
| 9045 | 93703 | 2 |
Questions
What is the 9042nd prime number?
93637.
Which prime number is 93637?
93637 is the 9042nd prime number.
What is the sum of the first 9042 primes?
401,142,523.