What is the 7106th prime number?
The 7106th prime number is 71807. The next prime is 71809 (a gap of 2) and the one before is 71789.
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 7106th one is 71807.
- 2
71807 is prime because no prime up to ā71807 ā 267.97 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7106th prime is close to 7106 Ć ln(7106) ā 63021, and here it is 71807.
- 4
71807 is a twin prime: 71807 and 71809 are both prime.
Primes around the 7106th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7103 | 71761 | 20 |
| 7104 | 71777 | 16 |
| 7105 | 71789 | 12 |
| 7106 | 71807 | 18 |
| 7107 | 71809 | 2 |
| 7108 | 71821 | 12 |
| 7109 | 71837 | 16 |
Questions
What is the 7106th prime number?
71807.
Which prime number is 71807?
71807 is the 7106th prime number.
What is the sum of the first 7106 primes?
241,011,685.