What is the 8407th prime number?
The 8407th prime number is 86453. The next prime is 86461 (a gap of 8) and the one before is 86441.
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 8407th one is 86453.
- 2
86453 is prime because no prime up to ā86453 ā 294.03 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8407th prime is close to 8407 Ć ln(8407) ā 75973, and here it is 86453.
- 4
86453 has no twin: neither 86451 nor 86455 is prime.
Primes around the 8407th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8404 | 86413 | 14 |
| 8405 | 86423 | 10 |
| 8406 | 86441 | 18 |
| 8407 | 86453 | 12 |
| 8408 | 86461 | 8 |
| 8409 | 86467 | 6 |
| 8410 | 86477 | 10 |
Questions
What is the 8407th prime number?
86453.
Which prime number is 86453?
86453 is the 8407th prime number.
What is the sum of the first 8407 primes?
343,918,488.