What is the 8112th prime number?
The 8112th prime number is 83063. The next prime is 83071 (a gap of 8) and the one before is 83059.
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 8112th one is 83063.
- 2
83063 is prime because no prime up to ā83063 ā 288.21 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8112th prime is close to 8112 Ć ln(8112) ā 73017, and here it is 83063.
- 4
83063 has no twin: neither 83061 nor 83065 is prime.
Primes around the 8112th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8109 | 83023 | 14 |
| 8110 | 83047 | 24 |
| 8111 | 83059 | 12 |
| 8112 | 83063 | 4 |
| 8113 | 83071 | 8 |
| 8114 | 83077 | 6 |
| 8115 | 83089 | 12 |
Questions
What is the 8112th prime number?
83063.
Which prime number is 83063?
83063 is the 8112th prime number.
What is the sum of the first 8112 primes?
318,907,627.