What is the 8111th prime number?
The 8111th prime number is 83059. The next prime is 83063 (a gap of 4) and the one before is 83047.
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 8111th one is 83059.
- 2
83059 is prime because no prime up to ā83059 ā 288.20 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8111th prime is close to 8111 Ć ln(8111) ā 73007, and here it is 83059.
- 4
83059 has no twin: neither 83057 nor 83061 is prime.
Primes around the 8111th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8108 | 83009 | 6 |
| 8109 | 83023 | 14 |
| 8110 | 83047 | 24 |
| 8111 | 83059 | 12 |
| 8112 | 83063 | 4 |
| 8113 | 83071 | 8 |
| 8114 | 83077 | 6 |
Questions
What is the 8111th prime number?
83059.
Which prime number is 83059?
83059 is the 8111th prime number.
What is the sum of the first 8111 primes?
318,824,564.