What is the 9047th prime number?
The 9047th prime number is 93739. The next prime is 93761 (a gap of 22) and the one before is 93719.
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 9047th one is 93739.
- 2
93739 is prime because no prime up to ā93739 ā 306.17 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9047th prime is close to 9047 Ć ln(9047) ā 82420, and here it is 93739.
- 4
93739 has no twin: neither 93737 nor 93741 is prime.
Primes around the 9047th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9044 | 93701 | 18 |
| 9045 | 93703 | 2 |
| 9046 | 93719 | 16 |
| 9047 | 93739 | 20 |
| 9048 | 93761 | 22 |
| 9049 | 93763 | 2 |
| 9050 | 93787 | 24 |
Questions
What is the 9047th prime number?
93739.
Which prime number is 93739?
93739 is the 9047th prime number.
What is the sum of the first 9047 primes?
401,611,068.