What is the 8172nd prime number?
The 8172nd prime number is 83761. The next prime is 83773 (a gap of 12) and the one before is 83737.
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 8172nd one is 83761.
- 2
83761 is prime because no prime up to ā83761 ā 289.41 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8172nd prime is close to 8172 Ć ln(8172) ā 73617, and here it is 83761.
- 4
83761 has no twin: neither 83759 nor 83763 is prime.
Primes around the 8172nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8169 | 83717 | 16 |
| 8170 | 83719 | 2 |
| 8171 | 83737 | 18 |
| 8172 | 83761 | 24 |
| 8173 | 83773 | 12 |
| 8174 | 83777 | 4 |
| 8175 | 83791 | 14 |
Questions
What is the 8172nd prime number?
83761.
Which prime number is 83761?
83761 is the 8172nd prime number.
What is the sum of the first 8172 primes?
323,912,221.