What is the 8430th prime number?
The 8430th prime number is 86743. The next prime is 86753 (a gap of 10) and the one before is 86729.
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 8430th one is 86743.
- 2
86743 is prime because no prime up to ā86743 ā 294.52 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8430th prime is close to 8430 Ć ln(8430) ā 76203, and here it is 86743.
- 4
86743 has no twin: neither 86741 nor 86745 is prime.
Primes around the 8430th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8427 | 86711 | 18 |
| 8428 | 86719 | 8 |
| 8429 | 86729 | 10 |
| 8430 | 86743 | 14 |
| 8431 | 86753 | 10 |
| 8432 | 86767 | 14 |
| 8433 | 86771 | 4 |
Questions
What is the 8430th prime number?
86743.
Which prime number is 86743?
86743 is the 8430th prime number.
What is the sum of the first 8430 primes?
345,910,113.