What is the 8203rd prime number?
The 8203rd prime number is 84143. The next prime is 84163 (a gap of 20) and the one before is 84137.
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 8203rd one is 84143.
- 2
84143 is prime because no prime up to ā84143 ā 290.07 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8203rd prime is close to 8203 Ć ln(8203) ā 73928, and here it is 84143.
- 4
84143 has no twin: neither 84141 nor 84145 is prime.
Primes around the 8203rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8200 | 84127 | 6 |
| 8201 | 84131 | 4 |
| 8202 | 84137 | 6 |
| 8203 | 84143 | 6 |
| 8204 | 84163 | 20 |
| 8205 | 84179 | 16 |
| 8206 | 84181 | 2 |
Questions
What is the 8203rd prime number?
84143.
Which prime number is 84143?
84143 is the 8203rd prime number.
What is the sum of the first 8203 primes?
326,515,150.