What is the 7047th prime number?
The 7047th prime number is 71167. The next prime is 71171 (a gap of 4) and the one before is 71161.
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 7047th one is 71167.
- 2
71167 is prime because no prime up to ā71167 ā 266.77 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7047th prime is close to 7047 Ć ln(7047) ā 62439, and here it is 71167.
- 4
71167 has no twin: neither 71165 nor 71169 is prime.
Primes around the 7047th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7044 | 71147 | 4 |
| 7045 | 71153 | 6 |
| 7046 | 71161 | 8 |
| 7047 | 71167 | 6 |
| 7048 | 71171 | 4 |
| 7049 | 71191 | 20 |
| 7050 | 71209 | 18 |
Questions
What is the 7047th prime number?
71167.
Which prime number is 71167?
71167 is the 7047th prime number.
What is the sum of the first 7047 primes?
236,794,820.