What is the 8373rd prime number?
The 8373rd prime number is 86131. The next prime is 86137 (a gap of 6) and the one before is 86117.
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 8373rd one is 86131.
- 2
86131 is prime because no prime up to ā86131 ā 293.48 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8373rd prime is close to 8373 Ć ln(8373) ā 75631, and here it is 86131.
- 4
86131 has no twin: neither 86129 nor 86133 is prime.
Primes around the 8373rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8370 | 86111 | 28 |
| 8371 | 86113 | 2 |
| 8372 | 86117 | 4 |
| 8373 | 86131 | 14 |
| 8374 | 86137 | 6 |
| 8375 | 86143 | 6 |
| 8376 | 86161 | 18 |
Questions
What is the 8373rd prime number?
86131.
Which prime number is 86131?
86131 is the 8373rd prime number.
What is the sum of the first 8373 primes?
340,984,544.