What is the 8374th prime number?
The 8374th prime number is 86137. The next prime is 86143 (a gap of 6) and the one before is 86131.
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 8374th one is 86137.
- 2
86137 is prime because no prime up to ā86137 ā 293.49 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8374th prime is close to 8374 Ć ln(8374) ā 75641, and here it is 86137.
- 4
86137 has no twin: neither 86135 nor 86139 is prime.
Primes around the 8374th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8371 | 86113 | 2 |
| 8372 | 86117 | 4 |
| 8373 | 86131 | 14 |
| 8374 | 86137 | 6 |
| 8375 | 86143 | 6 |
| 8376 | 86161 | 18 |
| 8377 | 86171 | 10 |
Questions
What is the 8374th prime number?
86137.
Which prime number is 86137?
86137 is the 8374th prime number.
What is the sum of the first 8374 primes?
341,070,681.