What is the 7112th prime number?
The 7112th prime number is 71861. The next prime is 71867 (a gap of 6) and the one before is 71849.
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 7112th one is 71861.
- 2
71861 is prime because no prime up to ā71861 ā 268.07 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7112th prime is close to 7112 Ć ln(7112) ā 63080, and here it is 71861.
- 4
71861 has no twin: neither 71859 nor 71863 is prime.
Primes around the 7112th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7109 | 71837 | 16 |
| 7110 | 71843 | 6 |
| 7111 | 71849 | 6 |
| 7112 | 71861 | 12 |
| 7113 | 71867 | 6 |
| 7114 | 71879 | 12 |
| 7115 | 71881 | 2 |
Questions
What is the 7112th prime number?
71861.
Which prime number is 71861?
71861 is the 7112th prime number.
What is the sum of the first 7112 primes?
241,442,705.