What is the 7100th prime number?
The 7100th prime number is 71713. The next prime is 71719 (a gap of 6) and the one before is 71711.
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 7100th one is 71713.
- 2
71713 is prime because no prime up to ā71713 ā 267.79 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7100th prime is close to 7100 Ć ln(7100) ā 62962, and here it is 71713.
- 4
71713 is a twin prime: 71711 and 71713 are both prime.
Primes around the 7100th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7097 | 71699 | 6 |
| 7098 | 71707 | 8 |
| 7099 | 71711 | 4 |
| 7100 | 71713 | 2 |
| 7101 | 71719 | 6 |
| 7102 | 71741 | 22 |
| 7103 | 71761 | 20 |
Questions
What is the 7100th prime number?
71713.
Which prime number is 71713?
71713 is the 7100th prime number.
What is the sum of the first 7100 primes?
240,581,091.