What is the 8387th prime number?
The 8387th prime number is 86263. The next prime is 86269 (a gap of 6) and the one before is 86257.
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 8387th one is 86263.
- 2
86263 is prime because no prime up to ā86263 ā 293.71 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8387th prime is close to 8387 Ć ln(8387) ā 75772, and here it is 86263.
- 4
86263 has no twin: neither 86261 nor 86265 is prime.
Primes around the 8387th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8384 | 86243 | 4 |
| 8385 | 86249 | 6 |
| 8386 | 86257 | 8 |
| 8387 | 86263 | 6 |
| 8388 | 86269 | 6 |
| 8389 | 86287 | 18 |
| 8390 | 86291 | 4 |
Questions
What is the 8387th prime number?
86263.
Which prime number is 86263?
86263 is the 8387th prime number.
What is the sum of the first 8387 primes?
342,191,376.