What is the 7098th prime number?
The 7098th prime number is 71707. The next prime is 71711 (a gap of 4) and the one before is 71699.
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 7098th one is 71707.
- 2
71707 is prime because no prime up to ā71707 ā 267.78 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7098th prime is close to 7098 Ć ln(7098) ā 62942, and here it is 71707.
- 4
71707 has no twin: neither 71705 nor 71709 is prime.
Primes around the 7098th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7095 | 71671 | 8 |
| 7096 | 71693 | 22 |
| 7097 | 71699 | 6 |
| 7098 | 71707 | 8 |
| 7099 | 71711 | 4 |
| 7100 | 71713 | 2 |
| 7101 | 71719 | 6 |
Questions
What is the 7098th prime number?
71707.
Which prime number is 71707?
71707 is the 7098th prime number.
What is the sum of the first 7098 primes?
240,437,667.