What is the 8117th prime number?
The 8117th prime number is 83101. The next prime is 83117 (a gap of 16) and the one before is 83093.
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 8117th one is 83101.
- 2
83101 is prime because no prime up to ā83101 ā 288.27 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8117th prime is close to 8117 Ć ln(8117) ā 73067, and here it is 83101.
- 4
83101 has no twin: neither 83099 nor 83103 is prime.
Primes around the 8117th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8114 | 83077 | 6 |
| 8115 | 83089 | 12 |
| 8116 | 83093 | 4 |
| 8117 | 83101 | 8 |
| 8118 | 83117 | 16 |
| 8119 | 83137 | 20 |
| 8120 | 83177 | 40 |
Questions
What is the 8117th prime number?
83101.
Which prime number is 83101?
83101 is the 8117th prime number.
What is the sum of the first 8117 primes?
319,323,058.