What is the 8153rd prime number?
The 8153rd prime number is 83537. The next prime is 83557 (a gap of 20) and the one before is 83497.
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 8153rd one is 83537.
- 2
83537 is prime because no prime up to ā83537 ā 289.03 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8153rd prime is close to 8153 Ć ln(8153) ā 73427, and here it is 83537.
- 4
83537 has no twin: neither 83535 nor 83539 is prime.
Primes around the 8153rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8150 | 83471 | 12 |
| 8151 | 83477 | 6 |
| 8152 | 83497 | 20 |
| 8153 | 83537 | 40 |
| 8154 | 83557 | 20 |
| 8155 | 83561 | 4 |
| 8156 | 83563 | 2 |
Questions
What is the 8153rd prime number?
83537.
Which prime number is 83537?
83537 is the 8153rd prime number.
What is the sum of the first 8153 primes?
322,323,006.