What is the 8402nd prime number?
The 8402nd prime number is 86389. The next prime is 86399 (a gap of 10) and the one before is 86381.
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 8402nd one is 86389.
- 2
86389 is prime because no prime up to ā86389 ā 293.92 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8402nd prime is close to 8402 Ć ln(8402) ā 75922, and here it is 86389.
- 4
86389 has no twin: neither 86387 nor 86391 is prime.
Primes around the 8402nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8399 | 86369 | 12 |
| 8400 | 86371 | 2 |
| 8401 | 86381 | 10 |
| 8402 | 86389 | 8 |
| 8403 | 86399 | 10 |
| 8404 | 86413 | 14 |
| 8405 | 86423 | 10 |
Questions
What is the 8402nd prime number?
86389.
Which prime number is 86389?
86389 is the 8402nd prime number.
What is the sum of the first 8402 primes?
343,486,359.