What is the 9044th prime number?
The 9044th prime number is 93701. The next prime is 93703 (a gap of 2) and the one before is 93683.
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 9044th one is 93701.
- 2
93701 is prime because no prime up to ā93701 ā 306.11 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9044th prime is close to 9044 Ć ln(9044) ā 82390, and here it is 93701.
- 4
93701 is a twin prime: 93701 and 93703 are both prime.
Primes around the 9044th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9041 | 93629 | 22 |
| 9042 | 93637 | 8 |
| 9043 | 93683 | 46 |
| 9044 | 93701 | 18 |
| 9045 | 93703 | 2 |
| 9046 | 93719 | 16 |
| 9047 | 93739 | 20 |
Questions
What is the 9044th prime number?
93701.
Which prime number is 93701?
93701 is the 9044th prime number.
What is the sum of the first 9044 primes?
401,329,907.