What is the 7094th prime number?
The 7094th prime number is 71663. The next prime is 71671 (a gap of 8) and the one before is 71647.
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 7094th one is 71663.
- 2
71663 is prime because no prime up to ā71663 ā 267.70 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7094th prime is close to 7094 Ć ln(7094) ā 62903, and here it is 71663.
- 4
71663 has no twin: neither 71661 nor 71665 is prime.
Primes around the 7094th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7091 | 71597 | 4 |
| 7092 | 71633 | 36 |
| 7093 | 71647 | 14 |
| 7094 | 71663 | 16 |
| 7095 | 71671 | 8 |
| 7096 | 71693 | 22 |
| 7097 | 71699 | 6 |
Questions
What is the 7094th prime number?
71663.
Which prime number is 71663?
71663 is the 7094th prime number.
What is the sum of the first 7094 primes?
240,150,897.