What is the 8113th prime number?
The 8113th prime number is 83071. The next prime is 83077 (a gap of 6) and the one before is 83063.
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 8113th one is 83071.
- 2
83071 is prime because no prime up to ā83071 ā 288.22 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8113th prime is close to 8113 Ć ln(8113) ā 73027, and here it is 83071.
- 4
83071 has no twin: neither 83069 nor 83073 is prime.
Primes around the 8113th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8110 | 83047 | 24 |
| 8111 | 83059 | 12 |
| 8112 | 83063 | 4 |
| 8113 | 83071 | 8 |
| 8114 | 83077 | 6 |
| 8115 | 83089 | 12 |
| 8116 | 83093 | 4 |
Questions
What is the 8113th prime number?
83071.
Which prime number is 83071?
83071 is the 8113th prime number.
What is the sum of the first 8113 primes?
318,990,698.