What is the 7093rd prime number?
The 7093rd prime number is 71647. The next prime is 71663 (a gap of 16) and the one before is 71633.
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 7093rd one is 71647.
- 2
71647 is prime because no prime up to ā71647 ā 267.67 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7093rd prime is close to 7093 Ć ln(7093) ā 62893, and here it is 71647.
- 4
71647 has no twin: neither 71645 nor 71649 is prime.
Primes around the 7093rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7090 | 71593 | 24 |
| 7091 | 71597 | 4 |
| 7092 | 71633 | 36 |
| 7093 | 71647 | 14 |
| 7094 | 71663 | 16 |
| 7095 | 71671 | 8 |
| 7096 | 71693 | 22 |
Questions
What is the 7093rd prime number?
71647.
Which prime number is 71647?
71647 is the 7093rd prime number.
What is the sum of the first 7093 primes?
240,079,234.