What is the 9045th prime number?
The 9045th prime number is 93703. The next prime is 93719 (a gap of 16) and the one before is 93701.
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 9045th one is 93703.
- 2
93703 is prime because no prime up to ā93703 ā 306.11 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9045th prime is close to 9045 Ć ln(9045) ā 82400, and here it is 93703.
- 4
93703 is a twin prime: 93701 and 93703 are both prime.
Primes around the 9045th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9042 | 93637 | 8 |
| 9043 | 93683 | 46 |
| 9044 | 93701 | 18 |
| 9045 | 93703 | 2 |
| 9046 | 93719 | 16 |
| 9047 | 93739 | 20 |
| 9048 | 93761 | 22 |
Questions
What is the 9045th prime number?
93703.
Which prime number is 93703?
93703 is the 9045th prime number.
What is the sum of the first 9045 primes?
401,423,610.