What is the 7096th prime number?
The 7096th prime number is 71693. The next prime is 71699 (a gap of 6) and the one before is 71671.
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 7096th one is 71693.
- 2
71693 is prime because no prime up to ā71693 ā 267.76 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7096th prime is close to 7096 Ć ln(7096) ā 62922, and here it is 71693.
- 4
71693 has no twin: neither 71691 nor 71695 is prime.
Primes around the 7096th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7093 | 71647 | 14 |
| 7094 | 71663 | 16 |
| 7095 | 71671 | 8 |
| 7096 | 71693 | 22 |
| 7097 | 71699 | 6 |
| 7098 | 71707 | 8 |
| 7099 | 71711 | 4 |
Questions
What is the 7096th prime number?
71693.
Which prime number is 71693?
71693 is the 7096th prime number.
What is the sum of the first 7096 primes?
240,294,261.