What is the 8378th prime number?
The 8378th prime number is 86179. The next prime is 86183 (a gap of 4) and the one before is 86171.
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 8378th one is 86179.
- 2
86179 is prime because no prime up to ā86179 ā 293.56 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8378th prime is close to 8378 Ć ln(8378) ā 75682, and here it is 86179.
- 4
86179 has no twin: neither 86177 nor 86181 is prime.
Primes around the 8378th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8375 | 86143 | 6 |
| 8376 | 86161 | 18 |
| 8377 | 86171 | 10 |
| 8378 | 86179 | 8 |
| 8379 | 86183 | 4 |
| 8380 | 86197 | 14 |
| 8381 | 86201 | 4 |
Questions
What is the 8378th prime number?
86179.
Which prime number is 86179?
86179 is the 8378th prime number.
What is the sum of the first 8378 primes?
341,415,335.