What is the 7046th prime number?
The 7046th prime number is 71161. The next prime is 71167 (a gap of 6) and the one before is 71153.
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 7046th one is 71161.
- 2
71161 is prime because no prime up to ā71161 ā 266.76 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7046th prime is close to 7046 Ć ln(7046) ā 62429, and here it is 71161.
- 4
71161 has no twin: neither 71159 nor 71163 is prime.
Primes around the 7046th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7043 | 71143 | 14 |
| 7044 | 71147 | 4 |
| 7045 | 71153 | 6 |
| 7046 | 71161 | 8 |
| 7047 | 71167 | 6 |
| 7048 | 71171 | 4 |
| 7049 | 71191 | 20 |
Questions
What is the 7046th prime number?
71161.
Which prime number is 71161?
71161 is the 7046th prime number.
What is the sum of the first 7046 primes?
236,723,653.