What is the 8173rd prime number?
The 8173rd prime number is 83773. The next prime is 83777 (a gap of 4) and the one before is 83761.
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 8173rd one is 83773.
- 2
83773 is prime because no prime up to ā83773 ā 289.44 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8173rd prime is close to 8173 Ć ln(8173) ā 73627, and here it is 83773.
- 4
83773 has no twin: neither 83771 nor 83775 is prime.
Primes around the 8173rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8170 | 83719 | 2 |
| 8171 | 83737 | 18 |
| 8172 | 83761 | 24 |
| 8173 | 83773 | 12 |
| 8174 | 83777 | 4 |
| 8175 | 83791 | 14 |
| 8176 | 83813 | 22 |
Questions
What is the 8173rd prime number?
83773.
Which prime number is 83773?
83773 is the 8173rd prime number.
What is the sum of the first 8173 primes?
323,995,994.