What is the 9046th prime number?
The 9046th prime number is 93719. The next prime is 93739 (a gap of 20) and the one before is 93703.
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 9046th one is 93719.
- 2
93719 is prime because no prime up to ā93719 ā 306.14 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9046th prime is close to 9046 Ć ln(9046) ā 82410, and here it is 93719.
- 4
93719 has no twin: neither 93717 nor 93721 is prime.
Primes around the 9046th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9043 | 93683 | 46 |
| 9044 | 93701 | 18 |
| 9045 | 93703 | 2 |
| 9046 | 93719 | 16 |
| 9047 | 93739 | 20 |
| 9048 | 93761 | 22 |
| 9049 | 93763 | 2 |
Questions
What is the 9046th prime number?
93719.
Which prime number is 93719?
93719 is the 9046th prime number.
What is the sum of the first 9046 primes?
401,517,329.