What is the 7097th prime number?
The 7097th prime number is 71699. The next prime is 71707 (a gap of 8) and the one before is 71693.
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 7097th one is 71699.
- 2
71699 is prime because no prime up to ā71699 ā 267.77 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7097th prime is close to 7097 Ć ln(7097) ā 62932, and here it is 71699.
- 4
71699 has no twin: neither 71697 nor 71701 is prime.
Primes around the 7097th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7094 | 71663 | 16 |
| 7095 | 71671 | 8 |
| 7096 | 71693 | 22 |
| 7097 | 71699 | 6 |
| 7098 | 71707 | 8 |
| 7099 | 71711 | 4 |
| 7100 | 71713 | 2 |
Questions
What is the 7097th prime number?
71699.
Which prime number is 71699?
71699 is the 7097th prime number.
What is the sum of the first 7097 primes?
240,365,960.