What is the 8429th prime number?
The 8429th prime number is 86729. The next prime is 86743 (a gap of 14) and the one before is 86719.
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 8429th one is 86729.
- 2
86729 is prime because no prime up to ā86729 ā 294.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8429th prime is close to 8429 Ć ln(8429) ā 76193, and here it is 86729.
- 4
86729 has no twin: neither 86727 nor 86731 is prime.
Primes around the 8429th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8426 | 86693 | 4 |
| 8427 | 86711 | 18 |
| 8428 | 86719 | 8 |
| 8429 | 86729 | 10 |
| 8430 | 86743 | 14 |
| 8431 | 86753 | 10 |
| 8432 | 86767 | 14 |
Questions
What is the 8429th prime number?
86729.
Which prime number is 86729?
86729 is the 8429th prime number.
What is the sum of the first 8429 primes?
345,823,370.